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

analyze98.0ms (1%)

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 (15.4%)

Results

1.5s

8256×

body

256

valid

Bogosity

preprocess76.0ms (0.8%)

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)

simplify33.0ms (0.3%)

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

73.7%

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.7%	(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)
▶	66.2%	(+.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)))
▶	73.4%	(+.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))))
▶	72.9%	(+.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)))
▶	73.7%	(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)
▶	66.2%	(+.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)))
▶	73.4%	(+.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))))
▶	72.9%	(+.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)

localize325.0ms (3.3%)

Local Accuracy

Found 16 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
✓	99.7%	(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)
✓	99.6%	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	74.4%	(/.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)
✓	92.5%	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
✓	67.1%	(/.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%	(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
✓	99.8%	(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
✓	99.6%	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	73.7%	(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
✓	99.8%	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
✓	99.6%	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	93.6%	(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
✓	69.8%	(*.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)

series27.0ms (0.3%)

Counts

16 → 276

Calls

69 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
2.0ms	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))
2.0ms	x	@	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)
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))

rewrite474.0ms (4.8%)

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)
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
(/.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 (.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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(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 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)
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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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simplify379.0ms (3.8%)

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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(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)))
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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)))
(*.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)))
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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 279195317918525/3350343815022304 y)
(*.f64 y 279195317918525/3350343815022304)
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(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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(.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 2) (+.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) -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 (neg.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 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 2)) (neg.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 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))))
(/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 2)) (-.f64 11167812716741/40000000000000 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))))
(pow.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)
(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)

eval459.0ms (4.6%)

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

prune267.0ms (2.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	806	11	817
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	809	12	821

Accurracy

100.0%

Counts

821 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
	64.6%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
	79.5%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	66.2%	(+.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)))
	67.8%	(+.f64 x (/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))))
▶	75.3%	(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
▶	75.0%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
	75.5%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
▶	79.6%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
▶	79.7%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
	37.3%	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
	50.5%	x
▶	79.6%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
	64.6%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
	79.5%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	66.2%	(+.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)))
	67.8%	(+.f64 x (/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))))
▶	75.3%	(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
▶	75.0%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
	75.5%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
▶	79.6%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
▶	79.7%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
	37.3%	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
	50.5%	x

Compiler

Compiled 632 to 474 computations (25% saved)

localize180.0ms (1.8%)

Local Accuracy

Found 12 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
✓	99.8%	(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
✓	99.6%	(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))
✓	94.3%	(/.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 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
✓	99.8%	(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
✓	99.8%	(*.f64 279195317918525/3350343815022304 y)
✓	100.0%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	99.9%	(/.f64 y 10000000000000000/692910599291889)
✓	99.9%	(/.f64 y 3350343815022304/279195317918525)

Compiler

Compiled 129 to 77 computations (40.3% saved)

series19.0ms (0.2%)

Counts

12 → 168

Calls

51 calls:

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

rewrite211.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`expm1-udef`
554×	`add-sqr-sqrt`
522×	`add-exp-log`
522×	`add-log-exp`
522×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	186
1	554	170
2	7871	170

Stop Event

1×	node limit

Counts

12 → 363

Calls

Call 1

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

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

simplify248.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

902×	`fma-def`
780×	`associate-r`
730×	`associate-l`
482×	`times-frac`
418×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	814	13121
1	2037	12323

Stop Event

1×	node limit

Counts

531 → 487

Calls

Call 1

Inputs
(*.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)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 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 692910599291889/10000000000000000 y)
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(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
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(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
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(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
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(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
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(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
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10000000000000000/692910599291889
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(-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
10000000000000000/692910599291889
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(-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
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x
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x
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x
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(/.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)
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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))))
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Outputs
(*.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)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
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(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
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(*.f64 692910599291889/10000000000000000 y)
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(*.f64 692910599291889/10000000000000000 y)
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(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
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x
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x
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(+.f64 10000000000000000/692910599291889 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(+.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 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.f64 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 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.f64 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 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(+.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 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.f64 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 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.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 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.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 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))

eval181.0ms (1.8%)

Compiler: Compiled 9162 to 6556 computations (28.4% saved)

prune137.0ms (1.4%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	508	3	511
Fresh	0	6	6
Picked	1	4	5
Done	0	1	1
Total	509	14	523

Accurracy

100.0%

Counts

523 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.6%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
▶	64.6%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
▶	79.5%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	66.2%	(+.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)))
▶	67.8%	(+.f64 x (/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))))
✓	75.0%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
	75.3%	(+.f64 x (/.f64 y (+.f64 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 10000000000000000/692910599291889)))
	75.5%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
✓	79.6%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	79.7%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
▶	79.5%	(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
▶	75.1%	(+.f64 x (*.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) y))
	37.3%	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
	50.5%	x
✓	79.6%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
▶	64.6%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
▶	79.5%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	66.2%	(+.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)))
▶	67.8%	(+.f64 x (/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))))
✓	75.0%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
	75.3%	(+.f64 x (/.f64 y (+.f64 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 10000000000000000/692910599291889)))
	75.5%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
✓	79.6%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	79.7%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
▶	79.5%	(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
▶	75.1%	(+.f64 x (*.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) y))
	37.3%	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
	50.5%	x

Compiler

Compiled 664 to 504 computations (24.1% saved)

localize316.0ms (3.2%)

Local Accuracy

Found 17 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))
✓	99.1%	(/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))
✓	97.3%	(/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
✓	84.0%	(-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))
✓	99.9%	(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z)
✓	99.8%	(/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)
✓	99.3%	(/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))
✓	93.9%	(*.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) y)
✓	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))
✓	99.2%	(*.f64 692910599291889/10000000000000000 y)
✓	100.0%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	99.2%	(*.f64 692910599291889/10000000000000000 y)
✓	100.0%	(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
✓	99.9%	(/.f64 10000000000000000/692910599291889 y)
✓	99.6%	(/.f64 1 (/.f64 10000000000000000/692910599291889 y))

Compiler

Compiled 238 to 157 computations (34% saved)

series29.0ms (0.3%)

Counts

16 → 153

Calls

75 calls:

Time	Variable		Point	Expression
7.0ms	z	@	-inf	(/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
2.0ms	y	@	0	(/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
2.0ms	z	@	-inf	(-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))
1.0ms	z	@	inf	(/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
1.0ms	y	@	inf	(/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))

rewrite202.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`add-sqr-sqrt`
850×	`pow1`
848×	`*-un-lft-identity`
840×	`add-exp-log`
840×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	302
1	930	302

Stop Event

1×	node limit

Counts

16 → 184

Calls

Call 1

Inputs
(/.f64 1 (/.f64 10000000000000000/692910599291889 y))
(/.f64 10000000000000000/692910599291889 y)
(+.f64 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.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 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) y)
(/.f64 1 (+.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 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))
(/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
(/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))

Outputs
(.f64 1 (.f64 y 692910599291889/10000000000000000))
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(.f64 (.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) (cbrt.f64 (.f64 y 692910599291889/10000000000000000))) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(.f64 (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(log.f64 (exp.f64 (*.f64 y 692910599291889/10000000000000000)))
(cbrt.f64 (.f64 (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y 692910599291889/10000000000000000)) (*.f64 y 692910599291889/10000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 1 (/.f64 10000000000000000/692910599291889 y))
(*.f64 10000000000000000/692910599291889 (/.f64 1 y))
(.f64 (.f64 (cbrt.f64 (/.f64 10000000000000000/692910599291889 y)) (cbrt.f64 (/.f64 10000000000000000/692910599291889 y))) (cbrt.f64 (/.f64 10000000000000000/692910599291889 y)))
(*.f64 (sqrt.f64 (/.f64 10000000000000000/692910599291889 y)) (sqrt.f64 (/.f64 10000000000000000/692910599291889 y)))
(pow.f64 (/.f64 10000000000000000/692910599291889 y) 1)
(log.f64 (exp.f64 (/.f64 10000000000000000/692910599291889 y)))
(cbrt.f64 (.f64 (.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y)) (/.f64 10000000000000000/692910599291889 y)))
(expm1.f64 (log1p.f64 (/.f64 10000000000000000/692910599291889 y)))
(exp.f64 (log.f64 (/.f64 10000000000000000/692910599291889 y)))
(log1p.f64 (expm1.f64 (/.f64 10000000000000000/692910599291889 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 x 3) (pow.f64 (.f64 y 692910599291889/10000000000000000) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y 692910599291889/10000000000000000)) (.f64 x (*.f64 y 692910599291889/10000000000000000)))))
(/.f64 (+.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y 692910599291889/10000000000000000)) (-.f64 (.f64 x x) (.f64 (*.f64 y 692910599291889/10000000000000000) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y 692910599291889/10000000000000000))) (-.f64 x (*.f64 y 692910599291889/10000000000000000)))
(/.f64 (-.f64 (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y 692910599291889/10000000000000000)) (.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) 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 1 (/.f64 10000000000000000/692910599291889 y))
(/.f64 1 (/.f64 (/.f64 10000000000000000/692910599291889 y) 1))
(/.f64 -1 (neg.f64 (/.f64 10000000000000000/692910599291889 y)))
(pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(log.f64 (exp.f64 (*.f64 y 692910599291889/10000000000000000)))
(cbrt.f64 (.f64 (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y 692910599291889/10000000000000000)) (*.f64 y 692910599291889/10000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.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 x 3) (pow.f64 (.f64 y 692910599291889/10000000000000000) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y 692910599291889/10000000000000000)) (.f64 x (*.f64 y 692910599291889/10000000000000000)))))
(/.f64 (+.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y 692910599291889/10000000000000000)) (-.f64 (.f64 x x) (.f64 (*.f64 y 692910599291889/10000000000000000) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y 692910599291889/10000000000000000))) (-.f64 x (*.f64 y 692910599291889/10000000000000000)))
(/.f64 (-.f64 (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y 692910599291889/10000000000000000)) (.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) 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 1 (/.f64 10000000000000000/692910599291889 y))
(/.f64 1 (/.f64 (/.f64 10000000000000000/692910599291889 y) 1))
(/.f64 -1 (neg.f64 (/.f64 10000000000000000/692910599291889 y)))
(pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(log.f64 (exp.f64 (*.f64 y 692910599291889/10000000000000000)))
(cbrt.f64 (.f64 (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y 692910599291889/10000000000000000)) (*.f64 y 692910599291889/10000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))
(/.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 y 692910599291889/10000000000000000) 3) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (+.f64 (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y 692910599291889/10000000000000000)) (-.f64 (.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))))
(/.f64 (-.f64 (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y 692910599291889/10000000000000000)) (.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) (-.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(pow.f64 (fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 1)
(log.f64 (exp.f64 (fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(cbrt.f64 (.f64 (.f64 (fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) (fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(exp.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(log1p.f64 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))
(pow.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))) 1)
(log.f64 (exp.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))))
(cbrt.f64 (.f64 (.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))) (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))) (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))))
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))))
(exp.f64 (log.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))))
(log1p.f64 (expm1.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))))
(*.f64 1 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))) (cbrt.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))))) (cbrt.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))) (sqrt.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))))
(pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)) -1)
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simplify285.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-def`
804×	`fma-neg`
728×	`associate-l`
694×	`associate-r`
504×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	518	8413
1	1341	8273
2	5549	8087

Stop Event

1×	node limit

Counts

337 → 279

Calls

Call 1

Inputs
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(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
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x
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))))
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(*.f64 1 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))
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(exp.f64 (log.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
(log1p.f64 (expm1.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))

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)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
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(.f64 (.f64 (cbrt.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))) (cbrt.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))) (cbrt.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
(/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))
(*.f64 (sqrt.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))) (sqrt.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
(/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))
(pow.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)) 1)
(/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))
(log.f64 (exp.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
(/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))
(cbrt.f64 (.f64 (.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
(/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))
(expm1.f64 (log1p.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
(/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))
(exp.f64 (log.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
(/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))
(log1p.f64 (expm1.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))
(/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))

eval157.0ms (1.6%)

Compiler: Compiled 7029 to 4897 computations (30.3% saved)

prune83.0ms (0.8%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	308	2	310
Fresh	0	4	4
Picked	3	2	5
Done	1	4	5
Total	312	12	324

Accurracy

100.0%

Counts

324 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.6%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
✓	79.5%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	66.2%	(+.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)))
✓	67.8%	(+.f64 x (/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))))
▶	75.3%	(+.f64 x (/.f64 y (+.f64 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 10000000000000000/692910599291889)))
▶	75.5%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
✓	79.6%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	79.7%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
▶	57.5%	(+.f64 x (.f64 (+.f64 692910599291889/10000000000000000 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) y))
▶	37.3%	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
▶	27.0%	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
	50.5%	x
✓	79.6%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
✓	79.5%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	66.2%	(+.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)))
✓	67.8%	(+.f64 x (/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))))
▶	75.3%	(+.f64 x (/.f64 y (+.f64 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 10000000000000000/692910599291889)))
▶	75.5%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
✓	79.6%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	79.7%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
▶	57.5%	(+.f64 x (.f64 (+.f64 692910599291889/10000000000000000 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) y))
▶	37.3%	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
▶	27.0%	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
	50.5%	x

Compiler

Compiled 520 to 394 computations (24.2% saved)

localize389.0ms (3.9%)

Local Accuracy

Found 18 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
✓	99.2%	(*.f64 692910599291889/10000000000000000 z)
✓	99.1%	(.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
✓	74.3%	(/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
✓	100.0%	(-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))
✓	99.6%	(/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))
✓	99.6%	(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
✓	93.6%	(.f64 (+.f64 692910599291889/10000000000000000 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) y)
✓	100.0%	(-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107)
	99.9%	(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z)
	99.8%	(/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)
✓	94.3%	(/.f64 y (+.f64 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 10000000000000000/692910599291889))
✓	100.0%	(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
✓	99.6%	(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
✓	99.4%	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
✓	100.0%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
✓	99.8%	(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
✓	99.8%	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))

Compiler

Compiled 300 to 208 computations (30.7% saved)

series25.0ms (0.3%)

Counts

16 → 204

Calls

69 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
2.0ms	z	@	-inf	(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
1.0ms	y	@	0	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
1.0ms	y	@	0	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
1.0ms	y	@	inf	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))

rewrite270.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`pow1`
1058×	`add-exp-log`
1058×	`add-cbrt-cube`
1058×	`add-log-exp`
1058×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	362
1	1101	362

Stop Event

1×	node limit

Counts

16 → 146

Calls

Call 1

Inputs
(/.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 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(/.f64 y (+.f64 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 10000000000000000/692910599291889))
(-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107)
(.f64 (+.f64 692910599291889/10000000000000000 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) y)
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))
(-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))
(/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(*.f64 692910599291889/10000000000000000 z)
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)

Outputs
(*.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 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) (cbrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))) (cbrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) (sqrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))
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(.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (.f64 z z)))
(.f64 1 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))
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(/.f64 (-.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (.f64 z z)) (.f64 z 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000)) (.f64 z (*.f64 z z)))
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(/.f64 (-.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))
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(/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
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(expm1.f64 (log1p.f64 (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
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(log1p.f64 (expm1.f64 (.f64 y (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))))))

simplify332.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1202×	`times-frac`
864×	`fma-def`
848×	`associate-l`
846×	`associate-r`
642×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	540	8844
1	1413	8360
2	5630	8356

Stop Event

1×	node limit

Counts

350 → 311

Calls

Call 1

Inputs
(*.f64 279195317918525/3350343815022304 y)
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(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
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x
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x)
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x)
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x)
x
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x)
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(log1p.f64 (expm1.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (.f64 z z)))
(.f64 1 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))
(.f64 (.f64 (cbrt.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z))) (cbrt.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) (cbrt.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))
(.f64 (sqrt.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z))) (sqrt.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))
(pow.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)) 1)
(log.f64 (exp.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))
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(expm1.f64 (log1p.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))
(exp.f64 (log.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))
(log1p.f64 (expm1.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (neg.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))
(.f64 1 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z))))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) (cbrt.f64 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z))))) (cbrt.f64 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))))
(.f64 (sqrt.f64 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) (sqrt.f64 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))))
(/.f64 (-.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (.f64 z z)) (.f64 z 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000)) (.f64 z (*.f64 z z)))
(/.f64 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 3) (pow.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)) 3)) (+.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (+.f64 (.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z))) (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))))
(/.f64 (-.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (.f64 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))))
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(log.f64 (exp.f64 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))))
(cbrt.f64 (.f64 (.f64 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z))) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))))
(exp.f64 (log.f64 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))))
(.f64 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000))) (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 1 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z))) (cbrt.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)))) (cbrt.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z))))
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(pow.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z))))
(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z))) (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z))))
(exp.f64 (log.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z))))
(/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(pow.f64 (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1)
(log.f64 (exp.f64 (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(cbrt.f64 (.f64 (.f64 (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(expm1.f64 (log1p.f64 (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(exp.f64 (log.f64 (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(log1p.f64 (expm1.f64 (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(pow.f64 (*.f64 z 692910599291889/10000000000000000) 1)
(log.f64 (exp.f64 (*.f64 z 692910599291889/10000000000000000)))
(cbrt.f64 (.f64 (.f64 (.f64 z 692910599291889/10000000000000000) (.f64 z 692910599291889/10000000000000000)) (*.f64 z 692910599291889/10000000000000000)))
(expm1.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 z 692910599291889/10000000000000000)))
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(log.f64 (exp.f64 (.f64 y (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))))))
(cbrt.f64 (.f64 (.f64 (.f64 y (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))) (.f64 y (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))))) (.f64 y (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))))))
(expm1.f64 (log1p.f64 (.f64 y (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))))))
(exp.f64 (log.f64 (.f64 y (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))))))
(log1p.f64 (expm1.f64 (.f64 y (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))))))

Outputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(fma.f64 279195317918525/3350343815022304 y (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z)))
(fma.f64 279195317918525/3350343815022304 y (.f64 y (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(+.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 279195317918525/3350343815022304 y (.f64 y (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(+.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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(*.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)))
(+.f64 (.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))))
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(.f64 y (+.f64 (.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) z) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(*.f64 y (fma.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(expm1.f64 (log1p.f64 (.f64 y (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))))))
(.f64 y (+.f64 (.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) z) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(*.f64 y (fma.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (log.f64 (.f64 y (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))))))
(.f64 y (+.f64 (.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) z) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(*.f64 y (fma.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log1p.f64 (expm1.f64 (.f64 y (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))))))
(.f64 y (+.f64 (.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) z) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(*.f64 y (fma.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))

eval139.0ms (1.4%)

Compiler: Compiled 7110 to 4910 computations (30.9% saved)

prune98.0ms (1%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	346	3	349
Fresh	0	1	1
Picked	2	3	5
Done	2	4	6
Total	350	11	361

Accurracy

100.0%

Counts

361 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.6%	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
✓	79.6%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
✓	66.2%	(+.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)))
✓	75.3%	(+.f64 x (/.f64 y (+.f64 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 10000000000000000/692910599291889)))
✓	79.6%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	79.7%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
✓	57.5%	(+.f64 x (.f64 (+.f64 692910599291889/10000000000000000 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) y))
	38.4%	(.f64 y (+.f64 (.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) z) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
✓	27.0%	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
	31.3%	(*.f64 y 692910599291889/10000000000000000)
	50.5%	x

Compiler

Compiled 428 to 304 computations (29% saved)

regimes174.0ms (1.8%)

Counts

23 → 2

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.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 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(/.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 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 10000000000000000/692910599291889)))
(+.f64 x (.f64 (+.f64 692910599291889/10000000000000000 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) y))
(+.f64 x (*.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) y))
(+.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 y (+.f64 (.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) z) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
(+.f64 x (/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))))
(+.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))))
(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:

53.0ms	y
43.0ms	x
31.0ms	z
19.0ms	(+.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)))
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))

Results

Accuracy	Segments	Branch
83.0%	3	`x`
87.6%	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 344 to 240 computations (30.2% saved)

regimes45.0ms (0.5%)

Counts

22 → 2

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.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 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(/.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 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 10000000000000000/692910599291889)))
(+.f64 x (.f64 (+.f64 692910599291889/10000000000000000 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) y))
(+.f64 x (*.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) y))
(+.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 y (+.f64 (.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) z) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
(+.f64 x (/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))))
(+.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))))

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:

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))

18.0ms

(+.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
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 315 to 220 computations (30.2% saved)

regimes49.0ms (0.5%)

Counts

21 → 2

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.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 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(/.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 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 10000000000000000/692910599291889)))
(+.f64 x (.f64 (+.f64 692910599291889/10000000000000000 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) y))
(+.f64 x (*.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) y))
(+.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 y (+.f64 (.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) z) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
(+.f64 x (/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))))
(+.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 (/.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 10000000000000000/692910599291889))

Calls

2 calls:

22.0ms

(+.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)))

20.0ms

(/.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
99.1%	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)))`
99.1%	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 297 to 208 computations (30% saved)

regimes81.0ms (0.8%)

Counts

20 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.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 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(/.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 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 10000000000000000/692910599291889)))
(+.f64 x (.f64 (+.f64 692910599291889/10000000000000000 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) y))
(+.f64 x (*.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) y))
(+.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 y (+.f64 (.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) z) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
(+.f64 x (/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))))

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 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))))

Calls

3 calls:

27.0ms

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))

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)))

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 283 to 199 computations (29.7% saved)

regimes32.0ms (0.3%)

Counts

19 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.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 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(/.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 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 10000000000000000/692910599291889)))
(+.f64 x (.f64 (+.f64 692910599291889/10000000000000000 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (.f64 z z)))) y))
(+.f64 x (*.f64 (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) y))
(+.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 y (+.f64 (.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) z) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)

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

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`z`

Compiler

Compiled 216 to 150 computations (30.6% saved)

regimes41.0ms (0.4%)

Counts

12 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.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 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(/.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:

38.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`z`

Compiler

Compiled 81 to 54 computations (33.3% saved)

regimes20.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.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 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(/.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:

17.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`z`

Compiler

Compiled 61 to 41 computations (32.8% saved)

regimes18.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.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 x (/.f64 1 (/.f64 10000000000000000/692910599291889 y)))
(/.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:

16.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`z`

Compiler

Compiled 52 to 35 computations (32.7% saved)

regimes12.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
82.4%	2	`y`
79.7%	1	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes41.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)

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

Calls

3 calls:

19.0ms	z
13.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
57.1%	6	`z`
64.8%	5	`x`
65.0%	3	`y`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
50.5%	1	`x`
50.5%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1214415421530393e+296	+inf

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1214415421530393e+296	+inf

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1214415421530393e+296	+inf

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.0109532496809543e-5	6.056131005384441e-5
24.0ms	-4037071508019299.0	-78081.40202342533

Results

34.0ms

256×

body

256

valid

Compiler

Compiled 518 to 397 computations (23.4% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.0109532496809543e-5	6.056131005384441e-5
24.0ms	-4037071508019299.0	-78081.40202342533

Results

33.0ms

256×

body

256

valid

Compiler

Compiled 470 to 361 computations (23.2% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.0109532496809543e-5	6.056131005384441e-5
23.0ms	-4037071508019299.0	-78081.40202342533

Results

33.0ms

256×

body

256

valid

Compiler

Compiled 446 to 343 computations (23.1% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.0109532496809543e-5	6.056131005384441e-5
23.0ms	-4037071508019299.0	-78081.40202342533

Results

33.0ms

256×

body

256

valid

Compiler

Compiled 382 to 295 computations (22.8% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.0109532496809543e-5	6.056131005384441e-5
23.0ms	-4037071508019299.0	-78081.40202342533

Results

34.0ms

256×

body

256

valid

Compiler

Compiled 318 to 247 computations (22.3% saved)

bsearch25.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-3.5732446959319096e+163	-1.5025078399700708e+153

Results

23.0ms

160×

body

256

valid

Compiler

Compiled 190 to 153 computations (19.5% saved)

bsearch62.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.6640038079815054e+174	8.996477853072355e+176
42.0ms	-5.016055088092039e+146	-3.0953353997745484e+140

Results

59.0ms

272×

body

256

valid

Compiler

Compiled 234 to 193 computations (17.5% saved)

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

46×	`+-commutative`
22×	`*-commutative`
14×	`sub-neg`
8×	`neg-mul-1`
8×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	857
1	141	857
2	155	857
3	163	857
4	168	857
5	169	857

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)) 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (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)) 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (+.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 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (+.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 10000000000000000/692910599291889)))
(if (<=.f64 z -80000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 x (/.f64 y (+.f64 (.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))))))
(if (<=.f64 z -80000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (+.f64 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 10000000000000000/692910599291889)))))
(if (<=.f64 z -80000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.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 -80000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -80000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 y -35000000000000002619753660619437978727901725542667325117997133190689692780547865071820933220901499637511673592289965156605554650767375494159795290611360529505058816) (*.f64 y 692910599291889/10000000000000000) (+.f64 x (/.f64 y 3350343815022304/279195317918525)))
(if (<=.f64 y -550000000000000000875404180516245770693058902645739396993250627370999152393464720414650151451155085521252756198779933530885157198209004601344) (.f64 y 692910599291889/10000000000000000) (if (<=.f64 y 1680000000000000001618480397325553678003278548517711191114151761017780606355038746823755251619404172197295550714817536096694023398562001071072136971925024187004687643907719168) x (.f64 y 692910599291889/10000000000000000)))
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)) 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (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)) 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (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)) 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (+.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)) 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (+.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 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (+.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 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)) 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (+.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)))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 z -80000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 x (/.f64 y (+.f64 (.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))))))
(if (<=.f64 z -80000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 x (/.f64 y (+.f64 (.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (-.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))))))
(if (<=.f64 z -80000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (+.f64 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z) 10000000000000000/692910599291889)))))
(if (<=.f64 z -80000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))))
(if (<=.f64 z -80000) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.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 -80000) (not (<=.f64 z 8854437155380585/147573952589676412928))) (+.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 -80000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -80000) (not (<=.f64 z 8854437155380585/147573952589676412928))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))))
(if (<=.f64 z -80000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -80000) (not (<=.f64 z 8854437155380585/147573952589676412928))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y 3350343815022304/279195317918525)))
(if (<=.f64 y -35000000000000002619753660619437978727901725542667325117997133190689692780547865071820933220901499637511673592289965156605554650767375494159795290611360529505058816) (*.f64 y 692910599291889/10000000000000000) (+.f64 x (/.f64 y 3350343815022304/279195317918525)))
(if (<=.f64 y -550000000000000000875404180516245770693058902645739396993250627370999152393464720414650151451155085521252756198779933530885157198209004601344) (.f64 y 692910599291889/10000000000000000) (if (<=.f64 y 1680000000000000001618480397325553678003278548517711191114151761017780606355038746823755251619404172197295550714817536096694023398562001071072136971925024187004687643907719168) x (.f64 y 692910599291889/10000000000000000)))
x

Compiler

Compiled 350 to 254 computations (27.4% saved)

soundness1.9s (18.9%)

Rules

1444×	`fma-def`
1444×	`fma-def`
1444×	`fma-def`
1202×	`times-frac`
1068×	`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	1034	34133
1	2711	33527
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	518	8413
1	1341	8273
2	5549	8087
0	540	8844
1	1413	8360
2	5630	8356
0	1034	34133
1	2711	33527
0	23	186
1	554	170
2	7871	170
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
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	saturated
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 1039 to 758 computations (27% saved)

end0.0ms (0%)

preprocess217.0ms (2.2%)

Compiler: Compiled 824 to 578 computations (29.9% saved)

analyze98.0ms (1%)

sample1.5s (15.4%)

preprocess76.0ms (0.8%)

simplify33.0ms (0.3%)

eval2.0ms (0%)

prune5.0ms (0.1%)

localize325.0ms (3.3%)

series27.0ms (0.3%)

rewrite474.0ms (4.8%)

simplify379.0ms (3.8%)

eval459.0ms (4.6%)

prune267.0ms (2.7%)

localize180.0ms (1.8%)

series19.0ms (0.2%)

rewrite211.0ms (2.1%)

simplify248.0ms (2.5%)

eval181.0ms (1.8%)

prune137.0ms (1.4%)

localize316.0ms (3.2%)

series29.0ms (0.3%)

rewrite202.0ms (2%)

simplify285.0ms (2.9%)

eval157.0ms (1.6%)

prune83.0ms (0.8%)

localize389.0ms (3.9%)

series25.0ms (0.3%)

rewrite270.0ms (2.7%)

simplify332.0ms (3.4%)

eval139.0ms (1.4%)

prune98.0ms (1%)

regimes174.0ms (1.8%)

regimes45.0ms (0.5%)

regimes49.0ms (0.5%)

regimes81.0ms (0.8%)

regimes32.0ms (0.3%)

regimes41.0ms (0.4%)

regimes20.0ms (0.2%)

regimes18.0ms (0.2%)

regimes12.0ms (0.1%)

regimes41.0ms (0.4%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch39.0ms (0.4%)

bsearch37.0ms (0.4%)

bsearch37.0ms (0.4%)

bsearch37.0ms (0.4%)

bsearch39.0ms (0.4%)

bsearch25.0ms (0.3%)

bsearch62.0ms (0.6%)

simplify32.0ms (0.3%)

soundness1.9s (18.9%)

end0.0ms (0%)

preprocess217.0ms (2.2%)

Profiling