Metrics for Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, B

analyze101.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
50%	49.9%	49.9%	0.1%	0%	0%	0%	7
50%	49.9%	49.9%	0.1%	0%	0%	0%	8
50%	49.9%	49.9%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 25 to 19 computations (24% saved)

sample1.5s (17.5%)

Results

1.5s

8256×

body

256

valid

Bogosity

preprocess74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1438×	`distribute-lft-in`
1182×	`distribute-rgt-in`
1028×	`fma-def`
802×	`times-frac`
648×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	367
1	171	359
2	419	331
3	1297	323
4	3716	323
5	7399	323

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 (neg.f64 x) (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (.f64 (neg.f64 y) (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000)))
(+.f64 y (/.f64 (.f64 x (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 z (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (.f64 z (+.f64 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))

Outputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 (neg.f64 x) (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (neg.f64 x))
(-.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) x)
(-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x))
(+.f64 x (/.f64 (.f64 (neg.f64 y) (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (neg.f64 y)) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(+.f64 x (*.f64 (/.f64 (neg.f64 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(-.f64 x (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(fma.f64 y (/.f64 (fma.f64 z (+.f64 (*.f64 z -692910599291889/10000000000000000) -307332350656623/625000000000000) -11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (neg.f64 z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg.f64 z)) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 (neg.f64 z) 6012459259764103/1000000000000000) (neg.f64 z)) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (neg.f64 z) 692910599291889/10000000000000000 307332350656623/625000000000000) (neg.f64 z) 11167812716741/40000000000000)) (fma.f64 (+.f64 6012459259764103/1000000000000000 (neg.f64 z)) (neg.f64 z) 104698244219447/31250000000000)))
(+.f64 x (.f64 (/.f64 y (fma.f64 (neg.f64 z) (-.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) (fma.f64 (neg.f64 z) (+.f64 307332350656623/625000000000000 (.f64 z -692910599291889/10000000000000000)) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 (neg.f64 z) (-.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) (fma.f64 (neg.f64 z) (fma.f64 z -692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z -6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (-.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 y (/.f64 (.f64 x (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 y (/.f64 (*.f64 x (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(+.f64 y (*.f64 (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(+.f64 z (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 z (/.f64 y (/.f64 (fma.f64 (+.f64 x 6012459259764103/1000000000000000) x 104698244219447/31250000000000) (fma.f64 (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) x 11167812716741/40000000000000))))
(+.f64 z (*.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) z)
(fma.f64 (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)
(+.f64 x (/.f64 (.f64 z (+.f64 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
(+.f64 x (/.f64 z (/.f64 (fma.f64 (+.f64 y 6012459259764103/1000000000000000) y 104698244219447/31250000000000) (fma.f64 (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) y 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1444×	`fma-def`
172×	`associate-r`
156×	`distribute-rgt-out`
126×	`*-commutative`
122×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	49
1	41	49
2	76	45
3	182	45
4	388	45
5	680	45
6	935	45
7	1042	45
8	1316	45
9	1759	45
10	1823	45
11	1824	45

Stop Event

1×

saturated

Counts

1 → 6

Calls

Call 1

Inputs

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

Outputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

eval2.0ms (0%)

Compiler: Compiled 111 to 75 computations (32.4% saved)

prune5.0ms (0.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	5	7

Accurracy

71.7%

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.7%	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
▶	68.3%	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
▶	71.4%	(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
▶	69.7%	(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
▶	71.7%	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
▶	68.3%	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
▶	71.4%	(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
▶	69.7%	(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))

Compiler

Compiled 172 to 124 computations (27.9% saved)

localize326.0ms (3.9%)

Local Accuracy

Found 16 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
✓	99.8%	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
✓	99.6%	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	72.6%	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
✓	99.7%	(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
✓	99.2%	(*.f64 z 692910599291889/10000000000000000)
✓	92.3%	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
✓	69.3%	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
✓	99.9%	(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
✓	99.9%	(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
✓	99.6%	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	71.9%	(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
✓	99.9%	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
✓	99.6%	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	92.1%	(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
✓	64.9%	(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))

Compiler

Compiled 307 to 213 computations (30.6% saved)

series50.0ms (0.6%)

Counts

16 → 276

Calls

69 calls:

Time	Variable		Point	Expression
22.0ms	z	@	-inf	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
4.0ms	y	@	0	(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
1.0ms	z	@	inf	(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
1.0ms	z	@	inf	(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
1.0ms	y	@	inf	(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))

rewrite247.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`expm1-udef`
572×	`add-sqr-sqrt`
550×	`pow1`
550×	`*-un-lft-identity`
536×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	390
1	729	390
2	7940	390

Stop Event

1×	node limit

Counts

16 → 591

Calls

Call 1

Inputs
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)

Outputs
(+.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(+.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 (.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) 1)
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(/.f64 1 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 1 (/.f64 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (cbrt.f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (sqrt.f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 y)) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (.f64 y (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000))))))
(/.f64 (.f64 y (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (*.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (.f64 (neg.f64 y) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000))))))
(/.f64 (.f64 (neg.f64 y) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (*.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) y) (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) 1) (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (neg.f64 y)) (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) 1) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (neg.f64 y)) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (/.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 y))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (/.f64 y 1) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))))
(/.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
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(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
(exp.f64 (log.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
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(-.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (/.f64 124720040876201995101661081/1600000000000000000000000000 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
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(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)) (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)))
(/.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))))
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(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))

simplify415.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1068×	`fma-def`
842×	`times-frac`
634×	`distribute-rgt-in`
612×	`distribute-lft-in`
464×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1034	34133
1	2711	33527

Stop Event

1×	node limit

Counts

867 → 660

Calls

Call 1

Inputs
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(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
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(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
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(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
(exp.f64 (log.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (/.f64 124720040876201995101661081/1600000000000000000000000000 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(*.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)) (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (/.f64 1 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000))))))
(.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)))
(/.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (neg.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (neg.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (-.f64 11167812716741/40000000000000 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))

Outputs
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(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 279195317918525/3350343815022304)
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(fma.f64 279195317918525/3350343815022304 y (.f64 z (.f64 y -155900051080628738716045985239/56124018394291031809500087342080)))
(fma.f64 z (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (.f64 y 279195317918525/3350343815022304))
(+.f64 (.f64 (-.f64 (.f64 692910599291889/33503438150223040 y) (+.f64 (.f64 272651677654809570312500000/10961722342634967150292985809 y) (.f64 6012459259764103/3350343815022304 (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))) (pow.f64 z 2)) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 z (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
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(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2))
(fabs.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)

eval483.0ms (5.7%)

Compiler: Compiled 21135 to 14809 computations (29.9% saved)

prune493.0ms (5.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	807	10	817
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	810	11	821

Accurracy

100.0%

Counts

821 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.4%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
	70.2%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
	80.7%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	51.7%	(+.f64 x (/.f64 (/.f64 (-.f64 (.f64 (.f64 z (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (.f64 z (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y))) (.f64 (.f64 y 11167812716741/40000000000000) (.f64 y 11167812716741/40000000000000))) (-.f64 (.f64 z (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (.f64 y 11167812716741/40000000000000))) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
✓	68.3%	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
▶	77.1%	(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
▶	76.9%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
	72.5%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
▶	80.9%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
▶	77.5%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
	49.4%	x
▶	77.4%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
	70.2%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
	80.7%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	51.7%	(+.f64 x (/.f64 (/.f64 (-.f64 (.f64 (.f64 z (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (.f64 z (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y))) (.f64 (.f64 y 11167812716741/40000000000000) (.f64 y 11167812716741/40000000000000))) (-.f64 (.f64 z (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (.f64 y 11167812716741/40000000000000))) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
✓	68.3%	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
▶	77.1%	(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
▶	76.9%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
	72.5%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
▶	80.9%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
▶	77.5%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
	49.4%	x

Compiler

Compiled 612 to 446 computations (27.1% saved)

localize142.0ms (1.7%)

Local Accuracy

Found 14 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
✓	99.7%	(-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
✓	99.3%	(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))
✓	95.1%	(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
✓	100.0%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
✓	100.0%	(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
✓	99.8%	(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
✓	99.8%	(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
✓	100.0%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
✓	99.7%	(*.f64 279195317918525/3350343815022304 y)
✓	100.0%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
✓	99.9%	(/.f64 y 3350343815022304/279195317918525)
✓	100.0%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	99.9%	(/.f64 y 10000000000000000/692910599291889)

Compiler

Compiled 129 to 77 computations (40.3% saved)

series21.0ms (0.2%)

Counts

14 → 198

Calls

63 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
2.0ms	y	@	-inf	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
1.0ms	y	@	0	(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
1.0ms	y	@	inf	(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
1.0ms	y	@	-inf	(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))

rewrite172.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`add-sqr-sqrt`
570×	`add-exp-log`
570×	`add-log-exp`
570×	`pow1`
570×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	204
1	621	188

Stop Event

1×	node limit

Counts

14 → 408

Calls

Call 1

Inputs
(/.f64 y 10000000000000000/692910599291889)
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))
(-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) 1)
(*.f64 y 692910599291889/10000000000000000)
(.f64 1 (.f64 y 692910599291889/10000000000000000))
(.f64 (pow.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(.f64 (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 (neg.f64 y) -692910599291889/10000000000000000)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3)
(pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)
(pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)
(neg.f64 (/.f64 y -10000000000000000/692910599291889))
(sqrt.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 692910599291889/10000000000000000))))
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (.f64 (log.f64 (.f64 y 692910599291889/10000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y 692910599291889/10000000000000000))) (/.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 x (*.f64 y 692910599291889/10000000000000000))))
(*.f64 1 (fma.f64 y 692910599291889/10000000000000000 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(*.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 x (*.f64 y 692910599291889/10000000000000000))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 692910599291889/10000000000000000) (-.f64 (.f64 y 692910599291889/10000000000000000) x))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))
(/.f64 1 (/.f64 (-.f64 x (.f64 y 692910599291889/10000000000000000)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (fma.f64 x x (.f64 (.f64 y 692910599291889/10000000000000000) (-.f64 (.f64 y 692910599291889/10000000000000000) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (.f64 y 692910599291889/10000000000000000)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 692910599291889/10000000000000000) (-.f64 (.f64 y 692910599291889/10000000000000000) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))) (neg.f64 (-.f64 x (.f64 y 692910599291889/10000000000000000))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (.f64 x x) (.f64 (.f64 y 692910599291889/10000000000000000) x))))
(/.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)) (-.f64 (.f64 y 692910599291889/10000000000000000) x))
(pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))
(log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x))))
(cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(fma.f64 y 692910599291889/10000000000000000 x)
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) x)
(fma.f64 1 x (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)
(*.f64 y 279195317918525/3350343815022304)
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(/.f64 (-.f64 (.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 126038177378157777536992880577915871121606103787480159157226253675678225955122762089879577600/12297610077491763478716591460487554509824512177309163162196099596778412212082614955911129 (pow.f64 z 4))) (neg.f64 z)) (.f64 (-.f64 10000000000000000/692910599291889 (/.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) z)) -2504069538682520235663395798110/160041699537014921582740396107)) (*.f64 (-.f64 10000000000000000/692910599291889 (/.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) z)) (neg.f64 z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) 3) (/.f64 15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) 2) (*.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889))))))
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(/.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 3)) (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)) (.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) 3) (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3)) (+.f64 (pow.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) 2) (-.f64 (.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(/.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) (-.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))
(/.f64 (-.f64 (pow.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) 2) (*.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)) 1)
(pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) 3)
(pow.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) 2)
(sqrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)) 2))
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(expm1.f64 (log1p.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
(exp.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
(exp.f64 (*.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) 1))
(log1p.f64 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
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(pow.f64 (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 3)
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(log1p.f64 (expm1.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))

simplify306.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

982×	`fma-def`
710×	`associate-l`
696×	`associate-r`
424×	`associate-/r*`
420×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	875	14974
1	2240	14158

Stop Event

1×	node limit

Counts

606 → 495

Calls

Call 1

Inputs
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
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(/.f64 (-.f64 (pow.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) 2) (*.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)) 1)
(pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) 3)
(pow.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) 2)
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(pow.f64 (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 3)
(pow.f64 (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 2)
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(exp.f64 (log.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 1))
(log1p.f64 (expm1.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))

Outputs
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
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x
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x
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(.f64 (-.f64 (pow.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) 2) (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (.f64 z z))) (/.f64 1 (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889))))
(/.f64 (+.f64 (pow.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) 2) (/.f64 -6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))) (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889)))
(pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)) 1)
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) 3)
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(pow.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)) 3) 1/3)
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(pow.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) 2)
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(sqrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)) 2))
(sqrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)) 2))
(fabs.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))
(log.f64 (exp.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(cbrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)) 3))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(expm1.f64 (log1p.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(exp.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(exp.f64 (*.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) 1))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(log1p.f64 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(fma.f64 1 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889)) 2) (cbrt.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889)) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(fma.f64 (sqrt.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889)) (sqrt.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889)) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 1)
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 1 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 2) (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 -2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (neg.f64 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(pow.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 1)
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(pow.f64 (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 3)
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(pow.f64 (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 2)
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(pow.f64 (/.f64 15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)) 1/3)
(cbrt.f64 (/.f64 15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)))
(pow.f64 (*.f64 z 160041699537014921582740396107/2504069538682520235663395798110) -1)
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(sqrt.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(cbrt.f64 (/.f64 15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(exp.f64 (log.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(exp.f64 (*.f64 (log.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 1))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(log1p.f64 (expm1.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)

eval253.0ms (3%)

Compiler: Compiled 9164 to 6402 computations (30.1% saved)

prune95.0ms (1.1%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	513	2	515
Fresh	1	4	5
Picked	1	4	5
Done	0	1	1
Total	515	11	526

Accurracy

100.0%

Counts

526 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.0%	(/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))
✓	77.4%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
▶	70.2%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
▶	80.7%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	68.3%	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
✓	76.9%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
▶	72.5%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
▶	77.1%	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
✓	80.9%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	77.5%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
	49.4%	x
▶	42.0%	(/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))
✓	77.4%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
▶	70.2%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
▶	80.7%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	68.3%	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
✓	76.9%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
▶	72.5%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
▶	77.1%	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
✓	80.9%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	77.5%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
	49.4%	x

Compiler

Compiled 400 to 292 computations (27% saved)

localize174.0ms (2.1%)

Local Accuracy

Found 17 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))
✓	99.5%	(*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)
✓	94.8%	(-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))
✓	55.5%	(/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))
✓	100.0%	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
✓	99.9%	(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z)
✓	99.8%	(/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)
✓	95.1%	(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))
✓	100.0%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
✓	100.0%	(+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)
✓	99.6%	(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
✓	99.3%	(*.f64 692910599291889/10000000000000000 y)
✓	100.0%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
✓	99.9%	(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
✓	99.8%	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
✓	100.0%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	99.3%	(*.f64 692910599291889/10000000000000000 y)

Compiler

Compiled 178 to 105 computations (41% saved)

series34.0ms (0.4%)

Counts

17 → 225

Calls

93 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
1.0ms	z	@	0	(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
1.0ms	x	@	-inf	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
1.0ms	z	@	inf	(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))
1.0ms	x	@	0	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))

rewrite201.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`add-sqr-sqrt`
906×	`pow1`
906×	`*-un-lft-identity`
894×	`add-exp-log`
894×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	299
1	927	299

Stop Event

1×	node limit

Counts

17 → 162

Calls

Call 1

Inputs
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))
(/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z)
(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
(/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))
(*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)
(.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))

Outputs
(pow.f64 (*.f64 692910599291889/10000000000000000 y) 1)
(log.f64 (exp.f64 (*.f64 692910599291889/10000000000000000 y)))
(cbrt.f64 (.f64 (.f64 (.f64 692910599291889/10000000000000000 y) (.f64 692910599291889/10000000000000000 y)) (*.f64 692910599291889/10000000000000000 y)))
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))
(exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)))
(log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))
(*.f64 1 (fma.f64 692910599291889/10000000000000000 y x))
(.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(/.f64 (+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 692910599291889/10000000000000000 y) (.f64 692910599291889/10000000000000000 y)) (-.f64 (.f64 x x) (.f64 (*.f64 692910599291889/10000000000000000 y) x))))
(/.f64 (-.f64 (.f64 (.f64 692910599291889/10000000000000000 y) (.f64 692910599291889/10000000000000000 y)) (.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
(pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)
(log.f64 (exp.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(cbrt.f64 (.f64 (.f64 (fma.f64 692910599291889/10000000000000000 y x) (fma.f64 692910599291889/10000000000000000 y x)) (fma.f64 692910599291889/10000000000000000 y x)))
(expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(exp.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(log1p.f64 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 y (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(*.f64 1 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(.f64 (.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(*.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1)
(log.f64 (exp.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(cbrt.f64 (.f64 (.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(expm1.f64 (log1p.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(exp.f64 (log.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(log1p.f64 (expm1.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(pow.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 1)
(log.f64 (exp.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(cbrt.f64 (.f64 (.f64 (.f64 155900051080628738716045985239/389750127738131234692690878125 z) (.f64 155900051080628738716045985239/389750127738131234692690878125 z)) (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(expm1.f64 (log1p.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(exp.f64 (log.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(log1p.f64 (expm1.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(*.f64 1 (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(.f64 (.f64 (cbrt.f64 (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) (cbrt.f64 (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))) (cbrt.f64 (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) (sqrt.f64 (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (*.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(pow.f64 (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 1)
(log.f64 (exp.f64 (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))
(cbrt.f64 (.f64 (.f64 (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))
(exp.f64 (log.f64 (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))
(pow.f64 (*.f64 692910599291889/10000000000000000 y) 1)
(log.f64 (exp.f64 (*.f64 692910599291889/10000000000000000 y)))
(cbrt.f64 (.f64 (.f64 (.f64 692910599291889/10000000000000000 y) (.f64 692910599291889/10000000000000000 y)) (*.f64 692910599291889/10000000000000000 y)))
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))
(exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)))
(log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))
(/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z)
(pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 1)
(log.f64 (exp.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))
(cbrt.f64 (.f64 (.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))
(expm1.f64 (log1p.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))
(*.f64 1 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(.f64 (.f64 (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(*.f64 (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(/.f64 (+.f64 (pow.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (-.f64 (.f64 x x) (.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))))
(/.f64 (-.f64 (.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (.f64 x x)) (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 1)
(log.f64 (exp.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(cbrt.f64 (.f64 (.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(expm1.f64 (log1p.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(exp.f64 (log.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)
(*.f64 1 (fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(.f64 (.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 3) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (+.f64 (.f64 (.f64 692910599291889/10000000000000000 y) (.f64 692910599291889/10000000000000000 y)) (-.f64 (.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (.f64 (*.f64 692910599291889/10000000000000000 y) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))))
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(cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x))) (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))) (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))))
(+.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (neg.f64 (*.f64 x x)))
(+.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 (neg.f64 x) x))
(+.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x)))
(.f64 1 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)))
(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x))) (cbrt.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)))) (cbrt.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(.f64 (sqrt.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x))) (sqrt.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)))
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(expm1.f64 (log1p.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(exp.f64 (log.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
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(log.f64 (exp.f64 (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(cbrt.f64 (.f64 (.f64 (.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(expm1.f64 (log1p.f64 (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(exp.f64 (log.f64 (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(log1p.f64 (expm1.f64 (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(pow.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) 1)
(log.f64 (exp.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(cbrt.f64 (.f64 (.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(exp.f64 (log.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))

simplify253.0ms (3%)

Algorithm

1×	egg-herbie

Rules

914×	`fma-def`
832×	`associate-l`
786×	`associate-r`
706×	`fma-neg`
686×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	537	9205
1	1351	8913
2	5404	8901

Stop Event

1×	node limit

Counts

387 → 315

Calls

Call 1

Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
x
x
(*.f64 279195317918525/3350343815022304 y)
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(+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z)) (.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3))))))
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x
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x
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x
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(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
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(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
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x
(+.f64 (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)) x)
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(+.f64 (.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3))) (+.f64 (.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)) x)))
x
(+.f64 (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)) x)
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(+.f64 (.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3))) (+.f64 (.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)) x)))
x
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
x
x
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
x
x
x
(+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
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(cbrt.f64 (.f64 (.f64 (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))))) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))))))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))))))
(exp.f64 (log.f64 (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))))))
(-.f64 (/.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x))))
(.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)) (/.f64 1 (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x))))
(.f64 1 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x))))
(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))) (cbrt.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x))))) (cbrt.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))) (sqrt.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))))
(pow.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x))) 1)
(log.f64 (exp.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x))) (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))) (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))))
(+.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (neg.f64 (*.f64 x x)))
(+.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 (neg.f64 x) x))
(+.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x)))
(.f64 1 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)))
(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x))) (cbrt.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)))) (cbrt.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(.f64 (sqrt.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x))) (sqrt.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)))
(pow.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) 1)
(log.f64 (exp.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(cbrt.f64 (.f64 (.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)) (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x))) (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(expm1.f64 (log1p.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(exp.f64 (log.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(log1p.f64 (expm1.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(fma.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (neg.f64 (.f64 x x)))
(pow.f64 (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416) 1)
(log.f64 (exp.f64 (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(cbrt.f64 (.f64 (.f64 (.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(expm1.f64 (log1p.f64 (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(exp.f64 (log.f64 (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(log1p.f64 (expm1.f64 (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(pow.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) 1)
(log.f64 (exp.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(cbrt.f64 (.f64 (.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(exp.f64 (log.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))

Outputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
x
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 279195317918525/3350343815022304)
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(fma.f64 279195317918525/3350343815022304 y (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z)))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z) (.f64 y 279195317918525/3350343815022304))
(+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 y (.f64 z z)) (fma.f64 279195317918525/3350343815022304 y (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z))))
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 y (.f64 z z)) (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z) (.f64 y 279195317918525/3350343815022304)))
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(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 y (.f64 z z)) (fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z) (.f64 (*.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 y) (pow.f64 z 3)))))
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(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))
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(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (.f64 z z)) (.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))
(fma.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z) (*.f64 (/.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 z) (/.f64 y z)))
(fma.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 z)))
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(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (.f64 z z)) (fma.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3)) (.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))))
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(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (.f64 z z)) (fma.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3)) (fma.f64 -39873908040342567067046441719054932589933590970022151679778966822883997618868713910090756831459948364488144600000000000000/590724563338983643962372834531741920535364530494984699021859876952259105769148219366939901641144597718544886593668641 (/.f64 y (pow.f64 z 4)) (.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))))
(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (*.f64 z z)) (fma.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3)) (fma.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z) (/.f64 -39873908040342567067046441719054932589933590970022151679778966822883997618868713910090756831459948364488144600000000000000/590724563338983643962372834531741920535364530494984699021859876952259105769148219366939901641144597718544886593668641 (/.f64 (pow.f64 z 4) y)))))
(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))
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(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (.f64 z z)) (.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))
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(fma.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (.f64 x (neg.f64 x)))
(log.f64 (exp.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(-.f64 (.f64 77950025547626246938538175625/11224803678858206361900017468416 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (.f64 x (neg.f64 x)))
(cbrt.f64 (.f64 (.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x)) (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 x x))) (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(-.f64 (.f64 77950025547626246938538175625/11224803678858206361900017468416 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (.f64 x (neg.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(-.f64 (.f64 77950025547626246938538175625/11224803678858206361900017468416 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (.f64 x (neg.f64 x)))
(exp.f64 (log.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(-.f64 (.f64 77950025547626246938538175625/11224803678858206361900017468416 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (.f64 x (neg.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x))))
(-.f64 (.f64 77950025547626246938538175625/11224803678858206361900017468416 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (.f64 x (neg.f64 x)))
(fma.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (neg.f64 (.f64 x x)))
(-.f64 (.f64 77950025547626246938538175625/11224803678858206361900017468416 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (.f64 x (neg.f64 x)))
(pow.f64 (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416) 1)
(*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)
(log.f64 (exp.f64 (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)
(cbrt.f64 (.f64 (.f64 (.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)
(expm1.f64 (log1p.f64 (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)
(exp.f64 (log.f64 (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)
(log1p.f64 (expm1.f64 (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))
(*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)
(pow.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) 1)
(.f64 77950025547626246938538175625/11224803678858206361900017468416 (.f64 y y))
(.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))
(log.f64 (exp.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(.f64 77950025547626246938538175625/11224803678858206361900017468416 (.f64 y y))
(.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))
(cbrt.f64 (.f64 (.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(.f64 77950025547626246938538175625/11224803678858206361900017468416 (.f64 y y))
(.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(.f64 77950025547626246938538175625/11224803678858206361900017468416 (.f64 y y))
(.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))
(exp.f64 (log.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(.f64 77950025547626246938538175625/11224803678858206361900017468416 (.f64 y y))
(.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(.f64 77950025547626246938538175625/11224803678858206361900017468416 (.f64 y y))
(.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))

eval119.0ms (1.4%)

Compiler: Compiled 6043 to 3679 computations (39.1% saved)

prune56.0ms (0.7%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	318	3	321
Fresh	0	1	1
Picked	2	3	5
Done	0	5	5
Total	320	12	332

Accurracy

100.0%

Counts

332 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	42.0%	(/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))
▶	25.4%	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
✓	77.4%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
✓	70.2%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
✓	68.3%	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
✓	76.9%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
✓	77.1%	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
✓	80.9%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	77.5%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
▶	29.9%	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
▶	33.7%	(*.f64 692910599291889/10000000000000000 y)
	49.4%	x
✓	42.0%	(/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))
▶	25.4%	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
✓	77.4%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
✓	70.2%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
✓	68.3%	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
✓	76.9%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
✓	77.1%	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
✓	80.9%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	77.5%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
▶	29.9%	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
▶	33.7%	(*.f64 692910599291889/10000000000000000 y)
	49.4%	x

Compiler

Compiled 276 to 206 computations (25.4% saved)

localize60.0ms (0.7%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
	99.9%	(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
	99.8%	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
✓	100.0%	(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
✓	99.7%	(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
✓	99.5%	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
	99.3%	(*.f64 692910599291889/10000000000000000 y)

Compiler

Compiled 47 to 33 computations (29.8% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
1.0ms	y	@	0	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
0.0ms	z	@	inf	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
0.0ms	z	@	0	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
0.0ms	z	@	0	(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)

rewrite112.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`unpow-prod-down`
900×	`log-prod`
588×	`pow-prod-down`
494×	`prod-diff`
414×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	204	39
2	2688	39

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

Inputs

(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))

(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)

(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))

Outputs
(+.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (.f64 y 692910599291889/10000000000000000))
(+.f64 0 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 (.f64 (.f64 y 692910599291889/10000000000000000) 1) (.f64 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) 1)
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3)) (+.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (-.f64 (pow.f64 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) (.f64 (.f64 y 692910599291889/10000000000000000) (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(/.f64 (-.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (pow.f64 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2)) (-.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(/.f64 (*.f64 y (fma.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z -3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000) 480125098611044764748221188321/100000000000000000000000000000000))
(/.f64 (.f64 y (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow.f64 z -2)))) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 (*.f64 (fma.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z -3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) y) (fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000) 480125098611044764748221188321/100000000000000000000000000000000))
(/.f64 (.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow.f64 z -2))) y) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(pow.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(log.f64 (.f64 (exp.f64 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (exp.f64 (*.f64 y 692910599291889/10000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) 2))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(fma.f64 y 692910599291889/10000000000000000 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(fma.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 692910599291889/10000000000000000 y (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (.f64 (/.f64 1 z) y) (.f64 y 692910599291889/10000000000000000))
(fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y (*.f64 y 692910599291889/10000000000000000))
(fma.f64 1 (.f64 y 692910599291889/10000000000000000) (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(fma.f64 1 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (.f64 y 692910599291889/10000000000000000))
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(log1p.f64 (expm1.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z) 692910599291889/10000000000000000)
(fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 1 692910599291889/10000000000000000)
(fma.f64 1 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)
(fma.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) 692910599291889/10000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000)
(fma.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000)
(fma.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 (neg.f64 z)) 692910599291889/10000000000000000)
(fma.f64 (/.f64 1 z) 751220861604756070699018739433/10000000000000000000000000000000 692910599291889/10000000000000000)

simplify123.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1078×	`times-frac`
704×	`associate-/l*`
524×	`associate-*r/`
508×	`sqr-pow`
412×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	3760
1	863	3620
2	2802	3542

Stop Event

1×	node limit

Counts

188 → 203

Calls

Call 1

Inputs
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(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
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692910599291889/10000000000000000
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692910599291889/10000000000000000
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(/.f64 (+.f64 (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3)) (+.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (-.f64 (pow.f64 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) (.f64 (.f64 y 692910599291889/10000000000000000) (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(/.f64 (-.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (pow.f64 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2)) (-.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
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(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (cbrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000) 480125098611044764748221188321/100000000000000000000000000000000) (fma.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z -3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))
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(pow.f64 (cbrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3)
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(pow.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3) 1/3)
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(pow.f64 (/.f64 (fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000) 480125098611044764748221188321/100000000000000000000000000000000) (fma.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z -3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) -1)
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Outputs
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(pow.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) 1/2)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(pow.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3) 1/3)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(pow.f64 (sqrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 2)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(pow.f64 (/.f64 (fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000) 480125098611044764748221188321/100000000000000000000000000000000) (fma.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z -3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) -1)
(*.f64 (fma.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z -3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000) 480125098611044764748221188321/100000000000000000000000000000000)))
(/.f64 (fma.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z -3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (-.f64 -692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) 480125098611044764748221188321/100000000000000000000000000000000))
(pow.f64 (/.f64 (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow.f64 z -2)))) -1)
(/.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow.f64 z -2))) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 (pow.f64 z -2) -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000)) (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 (fma.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow.f64 z -2) -480125098611044764748221188321/100000000000000000000000000000000) (-.f64 -692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(sqrt.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(log.f64 (exp.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(cbrt.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(expm1.f64 (log1p.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(exp.f64 (log.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(exp.f64 (*.f64 (log.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 1))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 1) 1))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 3))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 1/3))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 2))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(log1p.f64 (expm1.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z) 692910599291889/10000000000000000)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 1 692910599291889/10000000000000000)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 1 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) 692910599291889/10000000000000000)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 (neg.f64 z)) 692910599291889/10000000000000000)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 (/.f64 1 z) 751220861604756070699018739433/10000000000000000000000000000000 692910599291889/10000000000000000)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))

eval87.0ms (1%)

Compiler: Compiled 3330 to 2521 computations (24.3% saved)

prune45.0ms (0.5%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	246	1	247
Fresh	0	1	1
Picked	0	3	3
Done	1	7	8
Total	247	12	259

Accurracy

100.0%

Counts

259 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	42.0%	(/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))
✓	25.4%	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
✓	70.2%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
✓	68.3%	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
✓	76.9%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
✓	77.1%	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
✓	80.9%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	77.5%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
✓	29.9%	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
	30.4%	(*.f64 y 279195317918525/3350343815022304)
✓	33.7%	(*.f64 692910599291889/10000000000000000 y)
	49.4%	x

Compiler

Compiled 374 to 261 computations (30.2% saved)

regimes142.0ms (1.7%)

Counts

20 → 2

Calls

Call 1

Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (/.f64 (/.f64 (-.f64 (.f64 (.f64 z (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (.f64 z (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y))) (.f64 (.f64 y 11167812716741/40000000000000) (.f64 y 11167812716741/40000000000000))) (-.f64 (.f64 z (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (.f64 y 11167812716741/40000000000000))) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

Outputs

(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

(+.f64 x (/.f64 y 10000000000000000/692910599291889))

Calls

5 calls:

44.0ms	y
28.0ms	z
27.0ms	x
19.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
17.0ms	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

Results

Accuracy	Segments	Branch
86.0%	3	`x`
86.2%	5	`y`
99.9%	3	`z`
99.8%	2	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))`
99.8%	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`

Compiler

Compiled 296 to 203 computations (31.4% saved)

regimes40.0ms (0.5%)

Counts

19 → 2

Calls

Call 1

Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (/.f64 (/.f64 (-.f64 (.f64 (.f64 z (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (.f64 z (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y))) (.f64 (.f64 y 11167812716741/40000000000000) (.f64 y 11167812716741/40000000000000))) (-.f64 (.f64 z (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) y)) (.f64 y 11167812716741/40000000000000))) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

Outputs

(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))

(+.f64 x (/.f64 y 10000000000000000/692910599291889))

Calls

2 calls:

17.0ms

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

17.0ms

(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

Results

Accuracy	Segments	Branch
99.6%	2	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))`
99.6%	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`

Compiler

Compiled 267 to 183 computations (31.5% saved)

regimes81.0ms (1%)

Counts

17 → 3

Calls

Call 1

Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (-.f64 (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416)) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))

Outputs

(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))

(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))

(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))

Calls

3 calls:

28.0ms

24.0ms

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

24.0ms

(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

Results

Accuracy	Segments	Branch
99.9%	3	`z`
99.7%	3	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))`
99.7%	3	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`

Compiler

Compiled 205 to 141 computations (31.2% saved)

regimes25.0ms (0.3%)

Counts

12 → 3

Calls

Call 1

Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))

Outputs

(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))

(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))

(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`z`

Compiler

Compiled 77 to 51 computations (33.8% saved)

regimes20.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))

Outputs

(+.f64 x (/.f64 y 10000000000000000/692910599291889))

(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))

(+.f64 x (/.f64 y 10000000000000000/692910599291889))

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`z`

Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes20.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))

Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`z`

Compiler

Compiled 48 to 32 computations (33.3% saved)

regimes39.0ms (0.5%)

Counts

4 → 2

Calls

Call 1

Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))

Outputs
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(*.f64 692910599291889/10000000000000000 y)

Calls

3 calls:

17.0ms	x
10.0ms	y
10.0ms	z

Results

Accuracy	Segments	Branch
79.1%	2	`y`
81.7%	5	`x`
80.4%	2	`z`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes79.0ms (0.9%)

Counts

3 → 9

Calls

Call 1

Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)

Outputs
x
(*.f64 692910599291889/10000000000000000 y)
x
(*.f64 y 279195317918525/3350343815022304)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 279195317918525/3350343815022304)
x
(*.f64 y 279195317918525/3350343815022304)
x

Calls

3 calls:

32.0ms	z
28.0ms	x
18.0ms	y

Results

Accuracy	Segments	Branch
71.5%	9	`x`
65.0%	5	`y`
65.1%	8	`z`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes18.0ms (0.2%)

Counts

2 → 5

Calls

Call 1

Inputs
x
(*.f64 692910599291889/10000000000000000 y)

Outputs
x
(*.f64 692910599291889/10000000000000000 y)
x
(*.f64 692910599291889/10000000000000000 y)
x

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
67.3%	5	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

3.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
49.4%	1	`z`
49.4%	1	`y`
49.4%	1	`x`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1136933074565008e+303	+inf

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1136933074565008e+303	+inf

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch69.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
45.0ms	1.0740955208111916e-16	26389.35704291116
24.0ms	-484964.95766743453	-7.824109688741676e-8

Results

63.0ms

336×

body

256

valid

Compiler

Compiled 660 to 506 computations (23.3% saved)

bsearch67.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	1.0740955208111916e-16	26389.35704291116
25.0ms	-484964.95766743453	-7.824109688741676e-8

Results

62.0ms

336×

body

256

valid

Compiler

Compiled 576 to 443 computations (23.1% saved)

bsearch49.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.0740955208111916e-16	26389.35704291116
23.0ms	-484964.95766743453	-7.824109688741676e-8

Results

43.0ms

336×

body

256

valid

Compiler

Compiled 492 to 380 computations (22.8% saved)

bsearch80.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.0740955208111916e-16	26389.35704291116
55.0ms	-484964.95766743453	-7.824109688741676e-8

Results

76.0ms

336×

body

256

valid

Compiler

Compiled 408 to 317 computations (22.3% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.4855847186217366e+64	3.8754128523464304e+66

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 158 to 127 computations (19.6% saved)

bsearch120.0ms (1.4%)

Algorithm

8×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.592754145062597e-87	4.2112548360073686e-82
13.0ms	3.7437953450179985e-152	1.644445207195403e-151
12.0ms	9.461643678263664e-167	2.1282195362406614e-166
19.0ms	1.8742031706233092e-259	3.511887558655139e-255
13.0ms	9.587404188302001e-303	1.377863561003884e-301
16.0ms	-1.662238243827737e-30	-2.456533590693217e-32
14.0ms	-2.6621464704256655e-7	-6.510901381199627e-8
11.0ms	-5.825761689113899e+84	-1.834218978394809e+84

Results

110.0ms

832×

body

256

valid

Compiler

Compiled 682 to 571 computations (16.3% saved)

bsearch65.0ms (0.8%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	3.592754145062597e-87	4.2112548360073686e-82
16.0ms	-1.662238243827737e-30	-2.456533590693217e-32
14.0ms	-2.6621464704256655e-7	-6.510901381199627e-8
13.0ms	-5.825761689113899e+84	-1.834218978394809e+84

Results

60.0ms

432×

body

256

valid

Compiler

Compiled 354 to 293 computations (17.2% saved)

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative`
18×	`if-if-or-not`
18×	`*-commutative`
12×	`not-or`
8×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	716
1	162	716
2	177	716
3	190	716
4	197	716
5	202	716
6	203	716
7	204	716

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272) (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))) (if (<=.f64 z 6980579422424269/1125899906842624) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 3602879701896397/562949953421312) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 3433994715870003/562949953421312) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6530219459687219/1125899906842624) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z 235000000000000008664052560549040560500007681538679311631799812096) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (*.f64 692910599291889/10000000000000000 y))
(if (<=.f64 x -1850000000000000009812420309772105638707689871857048228537657525838156885958313639936) x (if (<=.f64 x -4722366482869645/18889465931478580854784) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 x -321130730858841/1427247692705959881058285969449495136382746624) x (if (<=.f64 x 8686162375287035/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984) (.f64 y 279195317918525/3350343815022304) (if (<=.f64 x 223151609951705/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 x 1742796538930017/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (.f64 y 279195317918525/3350343815022304) (if (<=.f64 x 8963160758951161/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) x (if (<=.f64 x 7524142493253561/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (*.f64 y 279195317918525/3350343815022304) x))))))))
(if (<=.f64 x -1850000000000000009812420309772105638707689871857048228537657525838156885958313639936) x (if (<=.f64 x -4911261142184431/18889465931478580854784) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 x -7992587079153375/45671926166590716193865151022383844364247891968) x (if (<=.f64 x 2405975797261313/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (.f64 692910599291889/10000000000000000 y) x))))
x

Outputs
(if (<=.f64 (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (.f64 y (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272) (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (.f64 y (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272) (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))) (if (<=.f64 z 6980579422424269/1125899906842624) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))))
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 6980579422424269/1125899906842624))) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 3602879701896397/562949953421312) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 3602879701896397/562949953421312))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 3433994715870003/562949953421312) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 3433994715870003/562949953421312))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))))
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6530219459687219/1125899906842624) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 6530219459687219/1125899906842624))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y 3350343815022304/279195317918525)))
(if (<=.f64 z 235000000000000008664052560549040560500007681538679311631799812096) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (*.f64 692910599291889/10000000000000000 y))
(if (<=.f64 z 235000000000000008664052560549040560500007681538679311631799812096) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (*.f64 y 692910599291889/10000000000000000))
(if (<=.f64 x -1850000000000000009812420309772105638707689871857048228537657525838156885958313639936) x (if (<=.f64 x -4722366482869645/18889465931478580854784) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 x -321130730858841/1427247692705959881058285969449495136382746624) x (if (<=.f64 x 8686162375287035/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984) (.f64 y 279195317918525/3350343815022304) (if (<=.f64 x 223151609951705/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 x 1742796538930017/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (.f64 y 279195317918525/3350343815022304) (if (<=.f64 x 8963160758951161/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) x (if (<=.f64 x 7524142493253561/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (*.f64 y 279195317918525/3350343815022304) x))))))))
(if (<=.f64 x -1850000000000000009812420309772105638707689871857048228537657525838156885958313639936) x (if (<=.f64 x -4722366482869645/18889465931478580854784) (.f64 y 692910599291889/10000000000000000) (if (<=.f64 x -321130730858841/1427247692705959881058285969449495136382746624) x (if (<=.f64 x 8686162375287035/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984) (.f64 y 279195317918525/3350343815022304) (if (<=.f64 x 223151609951705/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (.f64 y 692910599291889/10000000000000000) (if (<=.f64 x 1742796538930017/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (.f64 y 279195317918525/3350343815022304) (if (<=.f64 x 8963160758951161/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) x (if (<=.f64 x 7524142493253561/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (*.f64 y 279195317918525/3350343815022304) x))))))))
(if (<=.f64 x -1850000000000000009812420309772105638707689871857048228537657525838156885958313639936) x (if (<=.f64 x -4911261142184431/18889465931478580854784) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 x -7992587079153375/45671926166590716193865151022383844364247891968) x (if (<=.f64 x 2405975797261313/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (.f64 692910599291889/10000000000000000 y) x))))
(if (<=.f64 x -1850000000000000009812420309772105638707689871857048228537657525838156885958313639936) x (if (<=.f64 x -4911261142184431/18889465931478580854784) (.f64 y 692910599291889/10000000000000000) (if (<=.f64 x -7992587079153375/45671926166590716193865151022383844364247891968) x (if (<=.f64 x 2405975797261313/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (.f64 y 692910599291889/10000000000000000) x))))
x

Compiler

Compiled 308 to 221 computations (28.2% saved)

soundness1.3s (15.4%)

Rules

1444×	`fma-def`
1444×	`fma-def`
1068×	`fma-def`
1068×	`fma-def`
914×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	49
1	41	49
2	76	45
3	182	45
4	388	45
5	680	45
6	935	45
7	1042	45
8	1316	45
9	1759	45
10	1823	45
11	1824	45
0	1034	34133
1	2711	33527
0	25	204
1	621	188
0	20	49
1	41	49
2	76	45
3	182	45
4	388	45
5	680	45
6	935	45
7	1042	45
8	1316	45
9	1759	45
10	1823	45
11	1824	45
0	537	9205
1	1351	8913
2	5404	8901
0	1034	34133
1	2711	33527

Stop Event

1×	node limit
1×	node limit
1×	saturated
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 491 to 347 computations (29.3% saved)

end0.0ms (0%)

preprocess213.0ms (2.5%)

Compiler: Compiled 746 to 518 computations (30.6% saved)

analyze101.0ms (1.2%)

sample1.5s (17.5%)

preprocess74.0ms (0.9%)

simplify31.0ms (0.4%)

eval2.0ms (0%)

prune5.0ms (0.1%)

localize326.0ms (3.9%)

series50.0ms (0.6%)

rewrite247.0ms (2.9%)

simplify415.0ms (4.9%)

eval483.0ms (5.7%)

prune493.0ms (5.8%)

localize142.0ms (1.7%)

series21.0ms (0.2%)

rewrite172.0ms (2%)

simplify306.0ms (3.6%)

eval253.0ms (3%)

prune95.0ms (1.1%)

localize174.0ms (2.1%)

series34.0ms (0.4%)

rewrite201.0ms (2.4%)

simplify253.0ms (3%)

eval119.0ms (1.4%)

prune56.0ms (0.7%)

localize60.0ms (0.7%)

series4.0ms (0%)

rewrite112.0ms (1.3%)

simplify123.0ms (1.5%)

eval87.0ms (1%)

prune45.0ms (0.5%)

regimes142.0ms (1.7%)

regimes40.0ms (0.5%)

regimes81.0ms (1%)

regimes25.0ms (0.3%)

regimes20.0ms (0.2%)

regimes20.0ms (0.2%)

regimes39.0ms (0.5%)

regimes79.0ms (0.9%)

regimes18.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch69.0ms (0.8%)

bsearch67.0ms (0.8%)

bsearch49.0ms (0.6%)

bsearch80.0ms (0.9%)

bsearch19.0ms (0.2%)

bsearch120.0ms (1.4%)

bsearch65.0ms (0.8%)

simplify31.0ms (0.4%)

soundness1.3s (15.4%)

end0.0ms (0%)

preprocess213.0ms (2.5%)

Profiling