Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample730.0ms (45.4%)

Results

677.0ms

8256×

body

128

valid

Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify32.0ms (2%)

Algorithm

1×	egg-herbie

Rules

492×	`fma-neg_binary64`
454×	`unsub-neg_binary64`
409×	`distribute-rgt-in_binary64`
370×	`fma-def_binary64`
360×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	21	10
3	32	10
4	49	10
5	77	8
6	131	8
7	335	8
8	686	8
9	1461	8
10	2785	8
11	4171	8

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 -10 (fma.f64 x x -1))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))

series3.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(/.f64 -10 (fma.f64 x x -1))

rewrite32.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
264×	`unpow-prod-down_binary64`
232×	`log-prod_binary64`
148×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	122	8
2	1379	8

Stop Event

1×	node limit

Counts

1 → 38

Calls

1 calls:

31.0ms

(/.f64 -10 (fma.f64 x x -1))

simplify31.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
413×	`unswap-sqr_binary64`
246×	`associate-l_binary64`
236×	`associate-/r*_binary64`
220×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	227
1	117	209
2	342	206
3	1127	203
4	4523	203

Stop Event

1×	node limit

Counts

50 → 53

prune41.0ms (2.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	43	10	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	11	54

Error

0.0b

Counts

54 → 11

Alt Table

Status	Error	Program
	0.8b	(*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (cbrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2))))
▶	0.4b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	19.8b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	18.5b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
	0.4b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	18.9b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	1.2b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -1) -1/10)) 2) -1) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
	2.2b	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 2) 3) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
	19.8b	(.f64 (pow.f64 (.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))))

Compiler

Compiled 981 to 773 computations (21.2% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
✓	0.3b	(/.f64 1 (fma.f64 x x -1))

series6.0ms (0.4%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(/.f64 1 (fma.f64 x x -1))
3.0ms	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))

rewrite37.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
288×	`log-prod_binary64`
122×	`pow1/3_binary64`
122×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	155	16
2	1650	16

Stop Event

1×	node limit

Counts

2 → 48

Calls

2 calls:

37.0ms	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
36.0ms	(/.f64 1 (fma.f64 x x -1))

simplify25.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

394×	`fma-neg_binary64`
303×	`cancel-sign-sub-inv_binary64`
290×	`associate-l_binary64`
237×	`associate-/r*_binary64`
196×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	437
1	161	411
2	484	406
3	1531	406

Stop Event

1×	node limit

Counts

72 → 78

prune52.0ms (3.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	77	12	89

Error

Counts

89 → 12

Alt Table

Status	Error	Program
	0.6b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
✓	0.4b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	1.3b	(*.f64 -10 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3))
	19.8b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	18.4b	(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	0.8b	(*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (cbrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2))))
	0.8b	(.f64 -10 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2))))
▶	0.4b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	18.9b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
	1.2b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -1) -1/10)) 2) -1) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
	2.2b	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 2) 3) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))

Compiler

Compiled 1249 to 987 computations (21% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
✓	0.4b	(*.f64 (fma.f64 x x -1) -1/10)

series10.0ms (0.6%)

Counts

2 → 24

Calls

2 calls:

7.0ms	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
3.0ms	(*.f64 (fma.f64 x x -1) -1/10)

rewrite35.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log1p-expm1-u_binary64`
598×	`expm1-log1p-u_binary64`
295×	`log-prod_binary64`
120×	`expm1-udef_binary64`
120×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	146	16
2	1647	16

Stop Event

1×	node limit

Counts

2 → 47

Calls

2 calls:

34.0ms	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
34.0ms	(*.f64 (fma.f64 x x -1) -1/10)

simplify33.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-def_binary64`
269×	`associate-l_binary64`
238×	`associate-/r*_binary64`
229×	`sub-neg_binary64`
209×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	332
1	128	314
2	368	293
3	1209	290
4	4728	290

Stop Event

1×	node limit

Counts

71 → 67

prune46.0ms (2.9%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	67	12	79

Error

Counts

79 → 12

Alt Table

Status	Error	Program
	0.6b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
✓	0.4b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	1.3b	(*.f64 -10 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3))
	19.8b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	18.4b	(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	0.8b	(*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (cbrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2))))
	0.8b	(.f64 -10 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2))))
✓	0.4b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	18.9b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
	1.2b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -1) -1/10)) 2) -1) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
▶	0.5b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)

Compiler

Compiled 1044 to 824 computations (21.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (fma.f64 x x -1))
✓	0.4b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)

series3.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)

rewrite35.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log1p-expm1-u_binary64`
644×	`expm1-log1p-u_binary64`
297×	`log-prod_binary64`
128×	`expm1-udef_binary64`
128×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	163	8
2	1842	8

Stop Event

1×	node limit

Counts

1 → 28

Calls

1 calls:

35.0ms

(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)

simplify31.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
413×	`unswap-sqr_binary64`
246×	`associate-l_binary64`
236×	`associate-/r*_binary64`
220×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	227
1	117	209
2	342	206
3	1127	203
4	4523	203

Stop Event

1×	node limit

Counts

40 → 43

prune50.0ms (3.1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	84	12	96

Error

Counts

96 → 12

Alt Table

Status	Error	Program
	0.6b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
✓	0.4b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	1.3b	(*.f64 -10 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3))
	19.8b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	18.4b	(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	0.8b	(*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (cbrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2))))
	0.8b	(.f64 -10 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2))))
✓	0.4b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	18.9b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
	1.2b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -1) -1/10)) 2) -1) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
✓	0.5b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)

Compiler

Compiled 1177 to 922 computations (21.7% saved)

regimes207.0ms (12.9%)

Accuracy

Total 0.2b remaining (93.1%)

Threshold costs 0.2b (93.1%)

Counts

49 → 1

Compiler

Compiled 2584 to 2050 computations (20.7% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8

Stop Event

1×

saturated

end144.0ms (8.9%)

Compiler: Compiled 157 to 123 computations (21.7% saved)

Details

analyze3.0ms (0.2%)

sample730.0ms (45.4%)

simplify32.0ms (2%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series3.0ms (0.2%)

rewrite32.0ms (2%)

simplify31.0ms (1.9%)

prune41.0ms (2.6%)

localize5.0ms (0.3%)

series6.0ms (0.4%)

rewrite37.0ms (2.3%)

simplify25.0ms (1.5%)

prune52.0ms (3.2%)

localize4.0ms (0.3%)

series10.0ms (0.6%)

rewrite35.0ms (2.2%)

simplify33.0ms (2.1%)

prune46.0ms (2.9%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite35.0ms (2.2%)

simplify31.0ms (1.9%)

prune50.0ms (3.1%)

regimes207.0ms (12.9%)

simplify3.0ms (0.2%)

end144.0ms (8.9%)

Profiling