Details

analyze894.0ms (6.6%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4722	36
1	4722	36
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14
62.4%	25.8%	11.8%	14

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample1.2s (8.9%)

Algorithm

2×

intervals

Results

109.0ms	262×	body	1024	valid
35.0ms	135×	body	1024	invalid
27.0ms	279×	body	128	invalid
26.0ms	119×	body	512	valid
10.0ms	52×	body	512	invalid
10.0ms	74×	body	256	valid
9.0ms	16×	body	2048	valid
7.0ms	37×	body	256	invalid
3.0ms	41×	body	128	valid

Compiler

Compiled 6107 to 6614 computations (-8.3% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4793	18
1	4793	18

prune4.0ms (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

41.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.1b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite81.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

41.7b

Rules

10×	`add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
9×	`cancel-sign-sub-inv_binary64_3795`
7×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
6×	`add-cube-cbrt_binary64_3864`
5×	`associate-r_binary64_3769`
4×	`add-log-exp_binary64_3868` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778`
3×	`sub-neg_binary64_3822` `pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
2×	`flip3--_binary64_3833` `flip--_binary64_3804` `difference-of-squares_binary64_3798` `distribute-lft-out--_binary64_3781` `associate-*r/_binary64_3771`
1×	`diff-log_binary64_3921` `associate-l_binary64_3770` `*-commutative_binary64_3760`

Counts

2 → 46

Calls

2 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 925 to 309 computations (66.6% saved)

series329.0ms (2.4%)

Error

0.1b

Counts

2 → 17

Calls

2 calls:

261.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
44.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 761 to 545 computations (28.4% saved)

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4902	1208
1	4902	1208

prune70.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Error

0.1b

Counts

64 → 4

Compiler

Compiled 1090 to 470 computations (56.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/60 (pow.f64 im 5))
0.0b	(*.f64 1/2520 (pow.f64 im 7))
0.1b	(*.f64 1/3 (pow.f64 im 3))
0.1b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

rewrite327.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-sqr-sqrt_binary64_3851`
29×	`associate-r_binary64_3769`
24×	`add-exp-log_binary64_3867`
15×	`add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
12×	`prod-exp_binary64_3878` `associate--l+_binary64_3766` `unpow-prod-down_binary64_3908`
10×	`associate-l_binary64_3770` `unswap-sqr_binary64_3797`
9×	`pow1_binary64_3890`
6×	`cbrt-unprod_binary64_3862` `sub-neg_binary64_3822` `distribute-rgt-in_binary64_3779` `cancel-sign-sub-inv_binary64_3795` `distribute-lft-in_binary64_3778` `sqr-pow_binary64_3801`
4×	`add-log-exp_binary64_3868` `*-commutative_binary64_3760` `cube-prod_binary64_3857`
3×	`pow-prod-down_binary64_3900` `pow-to-exp_binary64_3898` `pow-exp_binary64_3897`
2×	`associate-*r/_binary64_3771`
1×	`flip3--_binary64_3833` `flip--_binary64_3804` `unpow3_binary64_3895` `cube-mult_binary64_3859`

Counts

4 → 113

Calls

4 calls:

18.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
7.0ms	(*.f64 1/3 (pow.f64 im 3))
6.0ms	(*.f64 1/2520 (pow.f64 im 7))
6.0ms	(*.f64 1/60 (pow.f64 im 5))

Compiler

Compiled 3971 to 3092 computations (22.1% saved)

series690.0ms (5.1%)

Error

0.1b

Counts

4 → 20

Calls

4 calls:

455.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
82.0ms	(*.f64 1/2520 (pow.f64 im 7))
60.0ms	(*.f64 1/3 (pow.f64 im 3))
60.0ms	(*.f64 1/60 (pow.f64 im 5))

Compiler

Compiled 1599 to 1292 computations (19.2% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4995	2656
1	4995	2656

prune302.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	128	5	133
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	129	8	137

Error

0.0b

Counts

137 → 8

Compiler

Compiled 4529 to 3501 computations (22.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 im 5) 1/120)
0.1b	(.f64 (pow.f64 im 3) (.f64 (sin.f64 re) -1/6))
0.1b	(.f64 (sin.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
0.4b	(*.f64 (sin.f64 re) -1/6)

rewrite177.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-exp-log_binary64_3867`
25×	`associate-l_binary64_3770`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cbrt-cube_binary64_3865`
14×	`prod-exp_binary64_3878` `add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
10×	`associate-r_binary64_3769`
8×	`pow1_binary64_3890`
7×	`unpow-prod-down_binary64_3908`
6×	`cbrt-unprod_binary64_3862`
5×	`unswap-sqr_binary64_3797`
4×	`add-log-exp_binary64_3868` `*-commutative_binary64_3760`
3×	`pow-to-exp_binary64_3898` `pow-exp_binary64_3897` `cube-prod_binary64_3857` `sqr-pow_binary64_3801`
2×	`pow-prod-down_binary64_3900` `associate-*r/_binary64_3771`
1×	`distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `flip3-+_binary64_3832` `flip-+_binary64_3803` `unpow3_binary64_3895` `cube-mult_binary64_3859`

Counts

4 → 94

Calls

4 calls:

8.0ms	(*.f64 (pow.f64 im 5) 1/120)
7.0ms	(.f64 (pow.f64 im 3) (.f64 (sin.f64 re) -1/6))
6.0ms	(.f64 (sin.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
5.0ms	(*.f64 (sin.f64 re) -1/6)

Compiler

Compiled 2432 to 1593 computations (34.5% saved)

series685.0ms (5%)

Error

0.0b

Counts

4 → 25

Calls

4 calls:

379.0ms	(.f64 (sin.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
180.0ms	(.f64 (pow.f64 im 3) (.f64 (sin.f64 re) -1/6))
59.0ms	(*.f64 (pow.f64 im 5) 1/120)
36.0ms	(*.f64 (sin.f64 re) -1/6)

Compiler

Compiled 1518 to 1122 computations (26.1% saved)

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4966	1538
1	4966	1538

prune198.0ms (1.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	117	10	127

Error

0.0b

Counts

127 → 10

Compiler

Compiled 3143 to 2113 computations (32.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
0.6b	(cbrt.f64 (sin.f64 re))
0.6b	(cbrt.f64 (sin.f64 re))
0.6b	(cbrt.f64 (sin.f64 re))

rewrite143.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-l_binary64_3770` `associate-r_binary64_3769`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `unswap-sqr_binary64_3797`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`pow2_binary64_3910` `pow-plus_binary64_3892` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `*-commutative_binary64_3760`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
2.0ms	(cbrt.f64 (sin.f64 re))
1.0ms	(cbrt.f64 (sin.f64 re))
1.0ms	(cbrt.f64 (sin.f64 re))

Compiler

Compiled 2460 to 1110 computations (54.9% saved)

series496.0ms (3.6%)

Error

0.0b

Counts

4 → 17

Calls

4 calls:

157.0ms	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
105.0ms	(cbrt.f64 (sin.f64 re))
104.0ms	(cbrt.f64 (sin.f64 re))
102.0ms	(cbrt.f64 (sin.f64 re))

Compiler

Compiled 1454 to 1013 computations (30.3% saved)

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4905	798
1	4905	798

prune159.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	2	5	7
Picked	1	0	1
Done	0	2	2
Total	91	9	100

Error

0.0b

Counts

100 → 9

Compiler

Compiled 2750 to 1415 computations (48.5% saved)

regimes1.2s (9.1%)

Accuracy

Total 0.7b remaining (94.3%)

Threshold costs 0.7b (94.3%)

Compiler

Compiled 15109 to 11760 computations (22.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	104	39
1	104	39

end0.0ms (0%)

sample6.1s (44.9%)

Algorithm

1×

intervals

Results

1.7s	4095×	body	1024	valid
481.0ms	2016×	body	1024	invalid
455.0ms	2059×	body	512	valid
282.0ms	4457×	body	128	invalid
160.0ms	960×	body	512	invalid
135.0ms	983×	body	256	valid
131.0ms	236×	body	2048	valid
62.0ms	492×	body	256	invalid
40.0ms	627×	body	128	valid

Compiler

Compiled 2561 to 1995 computations (22.1% saved)

Details

analyze894.0ms (6.6%)

sample1.2s (8.9%)

simplify77.0ms (0.6%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite81.0ms (0.6%)

series329.0ms (2.4%)

simplify103.0ms (0.8%)

prune70.0ms (0.5%)

localize19.0ms (0.1%)

rewrite327.0ms (2.4%)

series690.0ms (5.1%)

simplify81.0ms (0.6%)

prune302.0ms (2.2%)

localize14.0ms (0.1%)

rewrite177.0ms (1.3%)

series685.0ms (5%)

simplify86.0ms (0.6%)

prune198.0ms (1.5%)

localize22.0ms (0.2%)

rewrite143.0ms (1.1%)

series496.0ms (3.6%)

simplify86.0ms (0.6%)

prune159.0ms (1.2%)

regimes1.2s (9.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.1s (44.9%)

Profiling