Details

analyze523.0ms (4.5%)

Algorithm

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample126.0ms (1.1%)

Algorithm

1×

intervals

Results

50.0ms	129×	body	1024	valid
16.0ms	71×	body	1024	invalid
11.0ms	56×	body	512	valid
9.0ms	91×	body	128	invalid
7.0ms	11×	body	2048	valid
5.0ms	32×	body	512	invalid
5.0ms	39×	body	256	valid
2.0ms	19×	body	256	invalid
1.0ms	21×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4793	18
1	4793	18

prune3.0ms (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

45.2b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (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)))
5.0b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite78.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

45.1b

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:

12.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
10.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 925 to 309 computations (66.6% saved)

series205.0ms (1.8%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

155.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
30.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 638 to 468 computations (26.6% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4904	1142
1	4904	1142

prune60.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	4	63

Error

0.1b

Counts

63 → 4

Compiler

Compiled 1046 to 438 computations (58.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 im 5) 1/120)
0.1b	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040)))
0.1b	(*.f64 (pow.f64 im 3) 1/6)
0.1b	(.f64 (sin.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))

rewrite229.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_3851`
25×	`associate-l_binary64_3770`
18×	`add-exp-log_binary64_3867`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
12×	`add-cbrt-cube_binary64_3865` `associate-r_binary64_3769`
9×	`unswap-sqr_binary64_3797`
8×	`pow1_binary64_3890` `prod-exp_binary64_3878` `unpow-prod-down_binary64_3908`
4×	`add-log-exp_binary64_3868` `cbrt-unprod_binary64_3862` `associate-r/_binary64_3771` `-commutative_binary64_3760` `cube-prod_binary64_3857` `sqr-pow_binary64_3801`
3×	`distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778`
2×	`pow-prod-down_binary64_3900` `sub-neg_binary64_3822` `cancel-sign-sub-inv_binary64_3795` `pow-to-exp_binary64_3898` `pow-exp_binary64_3897`
1×	`flip3--_binary64_3833` `flip--_binary64_3804` `unpow3_binary64_3895` `cube-mult_binary64_3859` `flip3-+_binary64_3832` `flip-+_binary64_3803`

Counts

4 → 102

Calls

4 calls:

9.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040)))
9.0ms	(.f64 (sin.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
6.0ms	(*.f64 (pow.f64 im 3) 1/6)
5.0ms	(*.f64 (pow.f64 im 5) 1/120)

Compiler

Compiled 3507 to 2371 computations (32.4% saved)

series662.0ms (5.7%)

Error

0.1b

Counts

4 → 28

Calls

4 calls:

308.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040)))
226.0ms	(.f64 (sin.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
46.0ms	(*.f64 (pow.f64 im 5) 1/120)
39.0ms	(*.f64 (pow.f64 im 3) 1/6)

Compiler

Compiled 2197 to 1647 computations (25% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5013	2093

prune245.0ms (2.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	123	7	130
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	124	10	134

Error

0.0b

Counts

134 → 10

Compiler

Compiled 4395 to 2997 computations (31.8% saved)

localize13.0ms (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)))
0.3b	(*.f64 (sin.f64 re) -1/6)

rewrite160.0ms (1.4%)

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 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 (pow.f64 im 5) 1/120)
4.0ms	(*.f64 (sin.f64 re) -1/6)

Compiler

Compiled 2432 to 1593 computations (34.5% saved)

series480.0ms (4.1%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

258.0ms	(.f64 (sin.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
125.0ms	(.f64 (pow.f64 im 3) (.f64 (sin.f64 re) -1/6))
41.0ms	(*.f64 (pow.f64 im 5) 1/120)
25.0ms	(*.f64 (sin.f64 re) -1/6)

Compiler

Compiled 1592 to 1176 computations (26.1% saved)

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4999	1614
1	4999	1614

prune167.0ms (1.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	115	5	120
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	119	11	130

Error

0.0b

Counts

130 → 11

Compiler

Compiled 3137 to 2086 computations (33.5% saved)

localize16.0ms (0.1%)

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))

rewrite130.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

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:

11.0ms	(*.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)

series366.0ms (3.2%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

106.0ms	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
78.0ms	(cbrt.f64 (sin.f64 re))
78.0ms	(cbrt.f64 (sin.f64 re))
77.0ms	(cbrt.f64 (sin.f64 re))

Compiler

Compiled 1504 to 1051 computations (30.1% saved)

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5034	837

prune125.0ms (1.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	2	6	8
Picked	0	1	1
Done	0	2	2
Total	91	11	102

Error

0.0b

Counts

102 → 11

Compiler

Compiled 2796 to 1446 computations (48.3% saved)

regimes1.2s (10.7%)

Accuracy

Total 0.6b remaining (95.4%)

Threshold costs 0.6b (95.4%)

Compiler

Compiled 15922 to 12003 computations (24.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	109	38
1	109	38

end0.0ms (0%)

sample6.4s (55%)

Algorithm

1×

intervals

Results

1.6s	3988×	body	1024	valid
462.0ms	1976×	body	1024	invalid
459.0ms	2045×	body	512	valid
190.0ms	1014×	body	512	invalid
186.0ms	2604×	body	128	invalid
140.0ms	1087×	body	256	valid
130.0ms	226×	body	2048	valid
60.0ms	510×	body	256	invalid
43.0ms	654×	body	128	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 2619 to 1969 computations (24.8% saved)

Details

analyze523.0ms (4.5%)

sample126.0ms (1.1%)

simplify74.0ms (0.6%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite78.0ms (0.7%)

series205.0ms (1.8%)

simplify77.0ms (0.7%)

prune60.0ms (0.5%)

localize18.0ms (0.2%)

rewrite229.0ms (2%)

series662.0ms (5.7%)

simplify74.0ms (0.6%)

prune245.0ms (2.1%)

localize13.0ms (0.1%)

rewrite160.0ms (1.4%)

series480.0ms (4.1%)

simplify68.0ms (0.6%)

prune167.0ms (1.4%)

localize16.0ms (0.1%)

rewrite130.0ms (1.1%)

series366.0ms (3.2%)

simplify68.0ms (0.6%)

prune125.0ms (1.1%)

regimes1.2s (10.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.4s (55%)

Profiling