Details

analyze306.0ms (1.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5066	656
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
99.7%	0%	0.3%	1

Compiler

Compiled 28 to 27 computations (3.6% saved)

sample136.0ms (0.8%)

Algorithm

1×

intervals

Results

49.0ms	71×	body	2048	valid
34.0ms	62×	body	1024	valid
16.0ms	13×	body	4096	valid
9.0ms	27×	body	512	valid
7.0ms	62×	body	128	valid
5.0ms	21×	body	256	valid

Compiler

Compiled 55 to 59 computations (-7.3% saved)

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	990	35
1	990	35

prune7.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

45.8b

Counts

2 → 2

Compiler

Compiled 73 to 70 computations (4.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
2.8b	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
34.6b	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
35.5b	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

rewrite211.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

43.6b

Rules

14×	`pow1_binary64_23668` `add-exp-log_binary64_23645` `add-cbrt-cube_binary64_23643`
6×	`add-cube-cbrt_binary64_23642` `add-sqr-sqrt_binary64_23629` `-un-lft-identity_binary64_23607` `pow-prod-down_binary64_23678` `prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `associate-r*_binary64_23547`
4×	`distribute-rgt-in_binary64_23557` `cos-sum_binary64_23741` `distribute-lft-in_binary64_23556` `add-log-exp_binary64_23646` `associate-*r/_binary64_23549`
2×	`flip3-+_binary64_23610` `flip-+_binary64_23581` `associate-l_binary64_23548` `*-commutative_binary64_23538`

Counts

4 → 62

Calls

4 calls:

7.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
7.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
3.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))
3.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

Compiler

Compiled 1916 to 1229 computations (35.9% saved)

series964.0ms (5.6%)

Error

41.4b

Counts

4 → 50

Calls

4 calls:

261.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
258.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
194.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
191.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

Compiler

Compiled 3282 to 2794 computations (14.9% saved)

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5176	1944

prune216.0ms (1.3%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	86	26	112
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	88	26	114

Error

40.8b

Counts

114 → 26

Compiler

Compiled 2640 to 1920 computations (27.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (.f64 y 1/8)))))
2.8b	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
35.5b	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

rewrite136.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

40.2b

Rules

10×	`pow1_binary64_23668` `add-exp-log_binary64_23645` `add-cbrt-cube_binary64_23643`
8×	`add-sqr-sqrt_binary64_23629`
6×	`add-cube-cbrt_binary64_23642` `-un-lft-identity_binary64_23607` `associate-r*_binary64_23547`
4×	`pow-prod-down_binary64_23678` `prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `associate-l_binary64_23548`
3×	`add-log-exp_binary64_23646`
2×	`distribute-rgt-in_binary64_23557` `cos-sum_binary64_23741` `distribute-lft-in_binary64_23556` `associate-r/_binary64_23549` `-commutative_binary64_23538`
1×	`flip3-+_binary64_23610` `flip-+_binary64_23581` `unswap-sqr_binary64_23575`

Counts

3 → 49

Calls

3 calls:

7.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
5.0ms	(.f64 x (cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (.f64 y 1/8)))))
3.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

Compiler

Compiled 1098 to 735 computations (33.1% saved)

series872.0ms (5.1%)

Error

39.7b

Counts

3 → 40

Calls

3 calls:

419.0ms	(.f64 x (cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (.f64 y 1/8)))))
233.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
183.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

Compiler

Compiled 1901 to 1777 computations (6.5% saved)

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4999	1671
1	4999	1671

prune190.0ms (1.1%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	72	17	89
Fresh	7	18	25
Picked	1	0	1
Done	0	0	0
Total	80	35	115

Error

39.5b

Counts

115 → 35

Compiler

Compiled 2083 to 1668 computations (19.9% saved)

localize2.0ms (0%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

39.5b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 39.5b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune67.0ms (0.4%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	34	34
Picked	1	1
Done	0	0
Total	35	35

Error

39.5b

Counts

35 → 35

Compiler

Compiled 994 to 915 computations (7.9% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (cos.f64 (.f64 1/16 (*.f64 t z))))
28.8b	(cos.f64 (.f64 1/16 (.f64 t z)))

rewrite57.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

39.5b

Rules

6×	`add-sqr-sqrt_binary64_23629`
4×	`pow1_binary64_23668` `add-exp-log_binary64_23645` `add-cbrt-cube_binary64_23643` `add-cube-cbrt_binary64_23642` `*-un-lft-identity_binary64_23607`
3×	`associate-l_binary64_23548` `associate-r_binary64_23547`
2×	`add-log-exp_binary64_23646`
1×	`pow-prod-down_binary64_23678` `prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `unswap-sqr_binary64_23575` `*-commutative_binary64_23538`

Counts

2 → 25

Calls

2 calls:

5.0ms	(.f64 x (cos.f64 (.f64 1/16 (*.f64 t z))))
2.0ms	(cos.f64 (.f64 1/16 (.f64 t z)))

Compiler

Compiled 412 to 263 computations (36.2% saved)

series272.0ms (1.6%)

Error

39.5b

Counts

2 → 19

Calls

2 calls:

212.0ms	(.f64 x (cos.f64 (.f64 1/16 (*.f64 t z))))
50.0ms	(cos.f64 (.f64 1/16 (.f64 t z)))

Compiler

Compiled 448 to 538 computations (-20.1% saved)

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4824	555
1	4824	555

prune53.0ms (0.3%)

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	36	8	44
Fresh	4	29	33
Picked	1	0	1
Done	0	1	1
Total	41	38	79

Error

39.5b

Counts

79 → 38

Compiler

Compiled 402 to 260 computations (35.3% saved)

regimes8.3s (48.4%)

Accuracy

Total 4.5b remaining (10.3%)

Threshold costs 0b (0%)

Compiler

Compiled 86088 to 80458 computations (6.5% saved)

bsearch152.0ms (0.9%)

Steps

Iters	Range		Point
8	2.97941072725003e-122	7.947497841440922e-118	5.994400226382115e-118
7	-7.1034585538035696e-68	-2.1870303319093147e-69	-8.673105056183443e-69

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	82
1	78	82

end3.0ms (0%)

Compiler: Compiled 54 to 39 computations (27.8% saved)

sample4.9s (28.6%)

Algorithm

1×

intervals

Results

1.6s	2381×	body	2048	valid
882.0ms	1946×	body	1024	valid
416.0ms	359×	body	4096	valid
293.0ms	892×	body	512	valid
212.0ms	2009×	body	128	valid
93.0ms	413×	body	256	valid

Compiler

Compiled 1160 to 1094 computations (5.7% saved)

Details

analyze306.0ms (1.8%)

sample136.0ms (0.8%)

simplify39.0ms (0.2%)

prune7.0ms (0%)

localize19.0ms (0.1%)

rewrite211.0ms (1.2%)

series964.0ms (5.6%)

simplify49.0ms (0.3%)

prune216.0ms (1.3%)

localize11.0ms (0.1%)

rewrite136.0ms (0.8%)

series872.0ms (5.1%)

simplify56.0ms (0.3%)

prune190.0ms (1.1%)

localize2.0ms (0%)

rewrite1.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0%)

prune67.0ms (0.4%)

localize8.0ms (0%)

rewrite57.0ms (0.3%)

series272.0ms (1.6%)

simplify92.0ms (0.5%)

prune53.0ms (0.3%)

regimes8.3s (48.4%)

bsearch152.0ms (0.9%)

simplify3.0ms (0%)

end3.0ms (0%)

sample4.9s (28.6%)

Profiling