Details

analyze327.0ms (7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
6.2%	49.9%	43.8%	7
9.4%	43.7%	47%	8
14%	37.4%	48.5%	9
21.1%	30.4%	48.5%	10
24.6%	26.1%	49.3%	11
28.7%	21.6%	49.7%	12
33.4%	16.9%	49.7%	13
35.8%	14.3%	49.9%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample998.0ms (21.4%)

Results

938.0ms	8254×	body	128	valid
7.0ms	64×	body	128	invalid
1.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

681×	`fma-neg_binary64`
398×	`distribute-rgt-in_binary64`
317×	`fma-def_binary64`
285×	`unsub-neg_binary64`
229×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	16	12
2	36	12
3	82	12
4	166	12
5	327	12
6	531	12
7	1282	12
8	2596	12
9	4179	12
10	4890	12

Stop Event

1×	node limit

Counts

1 → 2

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)

Compiler

Compiled 41 to 23 computations (43.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (log.f64 y))

series222.0ms (4.8%)

Counts

1 → 24

Calls

1 calls:

222.0ms

(*.f64 x (log.f64 y))

rewrite28.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

397×	`log1p-expm1-u_binary64`
397×	`expm1-log1p-u_binary64`
336×	`pow1_binary64`
282×	`unpow-prod-down_binary64`
236×	`log-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	95	6
2	1111	6

Stop Event

1×	node limit

Counts

1 → 20

Calls

1 calls:

28.0ms

(*.f64 x (log.f64 y))

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1167×	`fma-def_binary64`
847×	`fma-neg_binary64`
369×	`distribute-rgt-in_binary64`
287×	`distribute-lft-in_binary64`
186×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	144
1	31	144
2	60	144
3	133	144
4	331	144
5	897	144
6	2545	144
7	3758	144
8	3937	144
9	3977	144
10	3995	144
11	3997	144

Stop Event

1×	node limit

Counts

44 → 23

prune13.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Error

0.1b

Counts

24 → 4

Alt Table

Status	Error	Program
	30.9b	(-.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) z) y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
	19.3b	(-.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) z) y)
▶	0.4b	(-.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) z) y)

Compiler

Compiled 367 to 198 computations (46% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x (log.f64 y))
✓	0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)

series1.2s (26.3%)

Counts

2 → 48

Calls

2 calls:

639.0ms	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)
590.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
313×	`log-prod_binary64`
166×	`pow2_binary64`
117×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	157	14
2	1629	14

Stop Event

1×	node limit

Counts

2 → 60

Calls

2 calls:

38.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))
38.0ms	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)

simplify47.0ms (1%)

Algorithm

1×	egg-herbie

Rules

977×	`fma-def_binary64`
375×	`associate-l_binary64`
333×	`associate-r_binary64`
135×	`cancel-sign-sub-inv_binary64`
112×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	1144
1	127	804
2	288	760
3	771	396
4	3000	392

Stop Event

1×	node limit

Counts

108 → 74

prune96.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	92	9	101

Error

0.0b

Counts

101 → 9

Alt Table

Status	Error	Program
	30.9b	(-.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) z) y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
	0.4b	(-.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) z) y)
	0.5b	(-.f64 (-.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 y))) 3) z) y)
	0.5b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y))))) z) y)
▶	0.4b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) z) y)
	27.1b	(-.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 y))) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))) z) y)

Compiler

Compiled 1750 to 887 computations (49.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)
✓	0.5b	(cbrt.f64 (log.f64 y))
	0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))
✓	0.6b	(cbrt.f64 x)

series861.0ms (18.4%)

Counts

3 → 48

Calls

3 calls:

566.0ms	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)
267.0ms	(cbrt.f64 (log.f64 y))
28.0ms	(cbrt.f64 x)

rewrite41.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
149×	`expm1-udef_binary64`
149×	`log1p-udef_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	191	19
2	2057	19

Stop Event

1×	node limit

Counts

3 → 63

Calls

3 calls:

40.0ms	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)
40.0ms	(cbrt.f64 (log.f64 y))
40.0ms	(cbrt.f64 x)

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

336×	`unswap-sqr_binary64`
293×	`unsub-neg_binary64`
257×	`distribute-rgt-in_binary64`
226×	`distribute-lft-in_binary64`
196×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	600
1	142	600
2	304	488
3	1154	432
4	3820	428

Stop Event

1×	node limit

Counts

111 → 77

prune132.0ms (2.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	108	10	118

Error

Counts

118 → 10

Alt Table

Status	Error	Program
	0.4b	(-.f64 (-.f64 (.f64 (.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (*.f64 x (log.f64 y))))) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) z) y)
	0.5b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y))))) z) y)
	30.9b	(-.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) z) y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
	0.5b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (cbrt.f64 (log.f64 y))) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) z) y)
	0.5b	(-.f64 (-.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 y))) 3) z) y)
✓	0.4b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) z) y)
	27.1b	(-.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 y))) z) y)
▶	0.4b	(-.f64 (-.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))) z) y)

Compiler

Compiled 2795 to 1260 computations (54.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)
	0.5b	(cbrt.f64 (log.f64 y))
	0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))
	0.6b	(cbrt.f64 x)

prune135.0ms (2.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	109	10	119

Error

Counts

119 → 10

Alt Table

Status	Error	Program
	0.4b	(-.f64 (-.f64 (.f64 (.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (*.f64 x (log.f64 y))))) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) z) y)
	0.5b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y))))) z) y)
	30.9b	(-.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) z) y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
	0.5b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (cbrt.f64 (log.f64 y))) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) z) y)
	0.5b	(-.f64 (-.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 y))) 3) z) y)
✓	0.4b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) z) y)
	27.1b	(-.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 y))) z) y)
✓	0.4b	(-.f64 (-.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))) z) y)

Compiler

Compiled 2629 to 1158 computations (56% saved)

regimes178.0ms (3.8%)

Accuracy

Total 0.1b remaining (68%)

Threshold costs 0.1b (68%)

Counts

35 → 1

Compiler

Compiled 2982 to 1996 computations (33.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	12
2	21	12
3	25	12
4	27	12

Stop Event

1×

saturated

end155.0ms (3.3%)

Compiler: Compiled 220 to 137 computations (37.7% saved)

Details

analyze327.0ms (7%)

sample998.0ms (21.4%)

simplify34.0ms (0.7%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series222.0ms (4.8%)

rewrite28.0ms (0.6%)

simplify54.0ms (1.1%)

prune13.0ms (0.3%)

localize11.0ms (0.2%)

series1.2s (26.3%)

rewrite39.0ms (0.8%)

simplify47.0ms (1%)

prune96.0ms (2.1%)

localize13.0ms (0.3%)

series861.0ms (18.4%)

rewrite41.0ms (0.9%)

simplify38.0ms (0.8%)

prune132.0ms (2.8%)

localize14.0ms (0.3%)

prune135.0ms (2.9%)

regimes178.0ms (3.8%)

simplify2.0ms (0%)

end155.0ms (3.3%)

Profiling