Details

analyze549.0ms (3.3%)

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%	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)

sample190.0ms (1.1%)

Algorithm

1×

intervals

Results

87.0ms	139×	body	1024	valid
25.0ms	75×	body	1024	invalid
20.0ms	64×	body	512	valid
10.0ms	38×	body	512	invalid
9.0ms	11×	body	2048	valid
9.0ms	95×	body	128	invalid
5.0ms	28×	body	256	valid
3.0ms	18×	body	256	invalid
1.0ms	14×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify233.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

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

44.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.0b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533`
9×	`cancel-sign-sub-inv_binary64_4477`
7×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
6×	`add-cube-cbrt_binary64_4546`
5×	`associate-r_binary64_4451`
4×	`distribute-lft-in_binary64_4460` `add-log-exp_binary64_4550` `distribute-rgt-in_binary64_4461`
3×	`prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `pow-prod-down_binary64_4582` `sub-neg_binary64_4504`
2×	`distribute-lft-out--_binary64_4463` `flip--_binary64_4486` `flip3--_binary64_4515` `associate-*r/_binary64_4453` `difference-of-squares_binary64_4480`
1×	`associate-l_binary64_4452` `diff-log_binary64_4603` `*-commutative_binary64_4442`

Counts

2 → 46

Calls

4 calls:

12.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
8.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series243.0ms (1.5%)

Counts

2 → 16

Calls

2 calls:

213.0ms	(.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 379 to 317 computations (16.4% saved)

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4904	1142
1	4904	1142

prune169.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	3	63

Error

0.1b

Counts

63 → 3

Compiler

Compiled 1056 to 454 computations (57% saved)

localize39.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

rewrite76.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_4533`
25×	`associate-l_binary64_4452`
18×	`add-exp-log_binary64_4549`
15×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
12×	`add-cbrt-cube_binary64_4547` `associate-r_binary64_4451`
9×	`unswap-sqr_binary64_4479`
8×	`pow1_binary64_4572` `unpow-prod-down_binary64_4590` `prod-exp_binary64_4560`
4×	`cube-prod_binary64_4539` `add-log-exp_binary64_4550` `sqr-pow_binary64_4483` `associate-r/_binary64_4453` `cbrt-unprod_binary64_4544` `-commutative_binary64_4442`
3×	`distribute-lft-in_binary64_4460` `distribute-rgt-in_binary64_4461`
2×	`pow-exp_binary64_4579` `pow-to-exp_binary64_4580` `pow-prod-down_binary64_4582` `cancel-sign-sub-inv_binary64_4477` `sub-neg_binary64_4504`
1×	`flip--_binary64_4486` `flip-+_binary64_4485` `flip3-+_binary64_4514` `unpow3_binary64_4577` `flip3--_binary64_4515` `cube-mult_binary64_4541`

Counts

4 → 102

Calls

8 calls:

17.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040)))
17.0ms	(.f64 (sin.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
12.0ms	(*.f64 (pow.f64 im 3) 1/6)
11.0ms	(*.f64 (pow.f64 im 5) 1/120)
0.0ms	(-.f64 (.f64 (sin.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6))) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040))))

series867.0ms (5.2%)

Counts

4 → 26

Calls

4 calls:

428.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040)))
327.0ms	(.f64 (sin.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
67.0ms	(*.f64 (pow.f64 im 5) 1/120)
45.0ms	(*.f64 (pow.f64 im 3) 1/6)

Compiler

Compiled 1270 to 1010 computations (20.5% saved)

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4961	1941
1	4961	1941

prune358.0ms (2.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	122	6	128
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	122	9	131

Error

0.1b

Counts

131 → 9

Compiler

Compiled 4227 to 2861 computations (32.3% saved)

localize29.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4542`
23×	`add-sqr-sqrt_binary64_4533`
15×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
11×	`pow1_binary64_4572`
9×	`pow1/3_binary64_4593`
6×	`add-exp-log_binary64_4549` `associate-l_binary64_4452` `associate-r_binary64_4451` `swap-sqr_binary64_4478`
4×	`add-cbrt-cube_binary64_4547` `unswap-sqr_binary64_4479` `add-log-exp_binary64_4550`
2×	`pow-prod-up_binary64_4581` `pow-sqr_binary64_4484` `pow-prod-down_binary64_4582`
1×	`pow-plus_binary64_4574` `pow2_binary64_4592` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 73

Calls

8 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))
0.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re))) (.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im) (cbrt.f64 (sin.f64 re)))) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040))))

series497.0ms (3%)

Counts

4 → 16

Calls

4 calls:

149.0ms	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
134.0ms	(cbrt.f64 (sin.f64 re))
107.0ms	(cbrt.f64 (sin.f64 re))
106.0ms	(cbrt.f64 (sin.f64 re))

Compiler

Compiled 1050 to 791 computations (24.7% saved)

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4890	770
1	4890	770

prune240.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	88	10	98

Error

0.0b

Counts

98 → 10

Compiler

Compiled 3547 to 2060 computations (41.9% saved)

localize42.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(*.f64 (pow.f64 im 5) 1/120)
0.0b	(*.f64 (pow.f64 im 7) 1/5040)
0.0b	(+.f64 (.f64 (pow.f64 im 5) 1/120) (.f64 (pow.f64 im 7) 1/5040))
0.0b	(-.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 re) 2)) (.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im) (cbrt.f64 (sin.f64 re)))) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (.f64 (pow.f64 im 7) 1/5040))))
0.3b	(.f64 (cbrt.f64 (pow.f64 (sin.f64 re) 2)) (.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im) (cbrt.f64 (sin.f64 re))))
0.3b	(pow.f64 (sin.f64 re) 2)
0.6b	(cbrt.f64 (sin.f64 re))
13.1b	(cbrt.f64 (pow.f64 (sin.f64 re) 2))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`cbrt-prod_binary64_4542`
12×	`*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533` `add-cube-cbrt_binary64_4546`
11×	`associate-l_binary64_4452`
10×	`pow1_binary64_4572` `add-exp-log_binary64_4549`
9×	`unpow-prod-down_binary64_4590`
6×	`add-cbrt-cube_binary64_4547`
4×	`add-log-exp_binary64_4550`
3×	`unpow2_binary64_4576` `sqr-pow_binary64_4483` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `pow-prod-down_binary64_4582` `pow-unpow_binary64_4588`
2×	`pow1/3_binary64_4593` `associate-r/_binary64_4453` `associate-l/_binary64_4454`
1×	`flip--_binary64_4486` `flip3--_binary64_4515` `pow-exp_binary64_4579` `pow-to-exp_binary64_4580` `associate-r_binary64_4451` `*-commutative_binary64_4442` `pow-pow_binary64_4583`

Counts

4 → 73

Calls

8 calls:

14.0ms	(.f64 (cbrt.f64 (pow.f64 (sin.f64 re) 2)) (.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im) (cbrt.f64 (sin.f64 re))))
3.0ms	(pow.f64 (sin.f64 re) 2)
2.0ms	(cbrt.f64 (pow.f64 (sin.f64 re) 2))
1.0ms	(cbrt.f64 (sin.f64 re))
0.0ms	(-.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 re) 2)) (.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im) (cbrt.f64 (sin.f64 re)))) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (.f64 (pow.f64 im 7) 1/5040))))

series536.0ms (3.2%)

Counts

4 → 22

Calls

4 calls:

266.0ms	(.f64 (cbrt.f64 (pow.f64 (sin.f64 re) 2)) (.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im) (cbrt.f64 (sin.f64 re))))
149.0ms	(cbrt.f64 (pow.f64 (sin.f64 re) 2))
90.0ms	(cbrt.f64 (sin.f64 re))
30.0ms	(pow.f64 (sin.f64 re) 2)

Compiler

Compiled 1224 to 977 computations (20.2% saved)

simplify108.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4925	1136
1	4925	1136

prune227.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	95	10	105

Error

0.0b

Counts

105 → 10

Compiler

Compiled 3170 to 2091 computations (34% saved)

simplify196.0ms (1.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	3176	1703
1	3176	1703

regimes591.0ms (3.5%)

Accuracy

Total 0.7b remaining (96%)

Threshold costs 0.7b (96%)

Compiler

Compiled 4505 to 3475 computations (22.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	109	38
1	109	38

end0.0ms (0%)

sample11.1s (66.5%)

Algorithm

1×

intervals

Results

2.5s	4075×	body	1024	valid
730.0ms	2017×	body	1024	invalid
656.0ms	2085×	body	512	valid
260.0ms	1014×	body	512	invalid
238.0ms	2627×	body	128	invalid
207.0ms	1015×	body	256	valid
203.0ms	223×	body	2048	valid
93.0ms	531×	body	256	invalid
59.0ms	602×	body	128	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 3305 to 2534 computations (23.3% saved)

Pareto

0.11799162377422687

Details

analyze549.0ms (3.3%)

sample190.0ms (1.1%)

simplify233.0ms (1.4%)

prune4.0ms (0%)

localize18.0ms (0.1%)

rewrite24.0ms (0.1%)

series243.0ms (1.5%)

simplify87.0ms (0.5%)

prune169.0ms (1%)

localize39.0ms (0.2%)

rewrite76.0ms (0.5%)

series867.0ms (5.2%)

simplify87.0ms (0.5%)

prune358.0ms (2.2%)

localize29.0ms (0.2%)

rewrite26.0ms (0.2%)

series497.0ms (3%)

simplify103.0ms (0.6%)

prune240.0ms (1.4%)

localize42.0ms (0.3%)

rewrite34.0ms (0.2%)

series536.0ms (3.2%)

simplify108.0ms (0.6%)

prune227.0ms (1.4%)

simplify196.0ms (1.2%)

regimes591.0ms (3.5%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample11.1s (66.5%)

Profiling