Details

analyze4.0ms (0.3%)

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)

sample804.0ms (47.6%)

Results

752.0ms

8256×

body

128

valid

Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify31.0ms (1.8%)

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

0.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.2b	(/.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
✓	0.2b	(/.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))

rewrite30.0ms (1.8%)

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:

30.0ms

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

simplify31.0ms (1.8%)

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 (2.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	43	10	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	10	54

Error

0.0b

Counts

54 → 10

Alt Table

Status	Error	Program
	2.1b	(*.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))))
	24.4b	(.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)))))
	0.8b	(*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (cbrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2))))
▶	0.3b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	24.4b	(-.f64 (exp.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1)))) 1)
	24.4b	(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))
	23.1b	(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)
	23.7b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)

Compiler

Compiled 956 to 754 computations (21.1% 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 (0.3%)

Counts

2 → 24

Calls

2 calls:

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

rewrite36.0ms (2.1%)

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:

35.0ms	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
35.0ms	(/.f64 1 (fma.f64 x x -1))

simplify23.0ms (1.4%)

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 (3.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	73	5	78
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	75	13	88

Error

0.0b

Counts

88 → 13

Alt Table

Status	Error	Program
	0.7b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
	2.1b	(*.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))))
	40.9b	(*.f64 -10 (pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2))
	24.4b	(.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)))))
	0.8b	(*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (cbrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2))))
✓	0.3b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	24.4b	(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))
	23.1b	(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)
	41.0b	(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
	1.4b	(/.f64 (/.f64 -10 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))
▶	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))

Compiler

Compiled 1298 to 1022 computations (21.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (fma.f64 x x -1) -10)
✓	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))

series5.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
2.0ms	(/.f64 (fma.f64 x x -1) -10)

rewrite36.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`log1p-expm1-u_binary64`
648×	`expm1-log1p-u_binary64`
303×	`log-prod_binary64`
128×	`expm1-udef_binary64`
128×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	163	16
2	1838	16

Stop Event

1×	node limit

Counts

2 → 57

Calls

2 calls:

35.0ms	(/.f64 (fma.f64 x x -1) -10)
35.0ms	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))

simplify33.0ms (2%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def_binary64`
268×	`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	1216	290
4	4721	290

Stop Event

1×	node limit

Counts

81 → 77

prune52.0ms (3.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	3	8	11
Picked	1	0	1
Done	0	1	1
Total	79	11	90

Error

Counts

90 → 11

Alt Table

Status	Error	Program
	0.7b	(/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3)))
	2.1b	(*.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))))
▶	0.4b	(/.f64 1 (log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) -1/10))))
	40.9b	(*.f64 -10 (pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2))
	0.8b	(*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (cbrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2))))
✓	0.3b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	24.4b	(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))
	23.1b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
	41.0b	(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
	1.4b	(/.f64 (/.f64 -10 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))

Compiler

Compiled 1192 to 940 computations (21.1% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) -1/10)))
✓	0.2b	(expm1.f64 (*.f64 (fma.f64 x x -1) -1/10))
✓	0.3b	(/.f64 1 (log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) -1/10))))
✓	0.4b	(*.f64 (fma.f64 x x -1) -1/10)

series11.0ms (0.7%)

Counts

4 → 48

Calls

4 calls:

3.0ms	(*.f64 (fma.f64 x x -1) -1/10)
3.0ms	(/.f64 1 (log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) -1/10))))
2.0ms	(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) -1/10)))
2.0ms	(expm1.f64 (*.f64 (fma.f64 x x -1) -1/10))

rewrite44.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`expm1-log1p-u_binary64`
667×	`log1p-expm1-u_binary64`
137×	`expm1-udef_binary64`
137×	`log1p-udef_binary64`
121×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	175	34
2	1862	34

Stop Event

1×	node limit

Counts

4 → 108

Calls

4 calls:

42.0ms	(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) -1/10)))
42.0ms	(expm1.f64 (*.f64 (fma.f64 x x -1) -1/10))
42.0ms	(/.f64 1 (log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) -1/10))))
42.0ms	(*.f64 (fma.f64 x x -1) -1/10)

simplify29.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

509×	`fma-neg_binary64`
437×	`cancel-sign-sub-inv_binary64`
242×	`fma-def_binary64`
240×	`associate-/r*_binary64`
144×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	616
1	192	555
2	561	547
3	2007	540

Stop Event

1×	node limit

Counts

156 → 113

prune64.0ms (3.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	113	11	124

Error

Counts

124 → 11

Alt Table

Status	Error	Program
	0.7b	(/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3)))
	2.1b	(*.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))))
✓	0.4b	(/.f64 1 (log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) -1/10))))
	40.9b	(*.f64 -10 (pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2))
	0.8b	(*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (cbrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2))))
✓	0.3b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	24.4b	(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))
	23.1b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
	41.0b	(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
	1.4b	(/.f64 (/.f64 -10 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))

Compiler

Compiled 1714 to 1392 computations (18.8% saved)

regimes170.0ms (10%)

Accuracy

Total 0.2b remaining (90.1%)

Threshold costs 0.2b (90.1%)

Counts

43 → 1

Compiler

Compiled 2252 to 1782 computations (20.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`*-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	11	8

Stop Event

1×

saturated

end156.0ms (9.2%)

Compiler: Compiled 155 to 121 computations (21.9% saved)

Details

analyze4.0ms (0.3%)

sample804.0ms (47.6%)

simplify31.0ms (1.8%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series3.0ms (0.2%)

rewrite30.0ms (1.8%)

simplify31.0ms (1.8%)

prune41.0ms (2.4%)

localize5.0ms (0.3%)

series6.0ms (0.3%)

rewrite36.0ms (2.1%)

simplify23.0ms (1.4%)

prune52.0ms (3.1%)

localize5.0ms (0.3%)

series5.0ms (0.3%)

rewrite36.0ms (2.1%)

simplify33.0ms (2%)

prune52.0ms (3.1%)

localize9.0ms (0.5%)

series11.0ms (0.7%)

rewrite44.0ms (2.6%)

simplify29.0ms (1.7%)

prune64.0ms (3.8%)

regimes170.0ms (10%)

simplify2.0ms (0.1%)

end156.0ms (9.2%)

Profiling