Details

analyze358.0ms (1.9%)

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)

sample123.0ms (0.7%)

Algorithm

1×

intervals

Results

53.0ms	129×	body	1024	valid
19.0ms	77×	body	1024	invalid
13.0ms	58×	body	512	valid
6.0ms	84×	body	128	invalid
6.0ms	31×	body	512	invalid
4.0ms	31×	body	256	valid
3.0ms	6×	body	2048	valid
2.0ms	32×	body	128	valid
2.0ms	13×	body	256	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify167.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

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

42.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

5.2b	(-.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)))
5.2b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite23.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_2465` `add-sqr-sqrt_binary64_2487`
9×	`cancel-sign-sub-inv_binary64_2431`
7×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
6×	`add-cube-cbrt_binary64_2500`
5×	`associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415`
3×	`sub-neg_binary64_2458` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
2×	`difference-of-squares_binary64_2434` `flip--_binary64_2440` `associate-*r/_binary64_2407` `distribute-lft-out--_binary64_2417` `flip3--_binary64_2469`
1×	`-commutative_binary64_2396` `diff-log_binary64_2557` `associate-l*_binary64_2406`

Counts

2 → 46

Calls

4 calls:

12.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	(-.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))

series194.0ms (1%)

Counts

2 → 16

Calls

2 calls:

164.0ms	(.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)

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4904	1142
1	4904	1142

prune126.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	5	63

Error

0.1b

Counts

63 → 5

Compiler

Compiled 1098 to 485 computations (55.8% saved)

localize19.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

rewrite47.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_2487`
29×	`associate-r_binary64_2405`
24×	`add-exp-log_binary64_2503`
15×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-cbrt-cube_binary64_2501`
12×	`unpow-prod-down_binary64_2544` `prod-exp_binary64_2514` `associate--l+_binary64_2402`
10×	`unswap-sqr_binary64_2433` `associate-l_binary64_2406`
9×	`pow1_binary64_2526`
6×	`distribute-lft-in_binary64_2414` `sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `sqr-pow_binary64_2437` `cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396` `cube-prod_binary64_2493`
3×	`pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `pow-prod-down_binary64_2536`
2×	`associate-*r/_binary64_2407`
1×	`unpow3_binary64_2531` `flip--_binary64_2440` `cube-mult_binary64_2495` `flip3--_binary64_2469`

Counts

4 → 113

Calls

8 calls:

16.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
8.0ms	(*.f64 1/3 (pow.f64 im 3))
6.0ms	(*.f64 1/60 (pow.f64 im 5))
6.0ms	(*.f64 1/2520 (pow.f64 im 7))
0.0ms	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))

series495.0ms (2.7%)

Counts

4 → 25

Calls

4 calls:

357.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
51.0ms	(*.f64 1/2520 (pow.f64 im 7))
46.0ms	(*.f64 1/60 (pow.f64 im 5))
40.0ms	(*.f64 1/3 (pow.f64 im 3))

Compiler

Compiled 1008 to 849 computations (15.8% saved)

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5248	2718

prune300.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	133	5	138
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	133	10	143

Error

0.0b

Counts

143 → 10

Compiler

Compiled 4642 to 3568 computations (23.1% saved)

localize30.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))
0.0b	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
0.0b	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
0.0b	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
0.4b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
13.8b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
13.8b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
13.8b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))

rewrite71.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_2407`
18×	`cbrt-div_binary64_2497`
11×	`pow1_binary64_2526`
10×	`add-sqr-sqrt_binary64_2487`
9×	`flip--_binary64_2440` `pow1/3_binary64_2547` `flip3--_binary64_2469`
8×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
7×	`cbrt-prod_binary64_2496`
6×	`add-exp-log_binary64_2503`
4×	`add-log-exp_binary64_2504` `frac-times_binary64_2475` `swap-sqr_binary64_2432` `add-cbrt-cube_binary64_2501` `associate-r_binary64_2405` `associate-l_binary64_2406`
2×	`associate-*l/_binary64_2408` `pow-prod-down_binary64_2536` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`
1×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `unswap-sqr_binary64_2433` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 72

Calls

8 calls:

15.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
13.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
13.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
13.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
0.0ms	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))

series5.3s (28.6%)

Counts

4 → 49

Calls

4 calls:

1.4s	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
1.3s	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
1.3s	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
1.3s	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))

Compiler

Compiled 10463 to 8665 computations (17.2% saved)

simplify116.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5016	7871

prune857.0ms (4.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	116	5	121
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	117	14	131

Error

0.0b

Counts

131 → 14

Compiler

Compiled 12176 to 9614 computations (21% saved)

localize36.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))
0.0b	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
0.0b	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
0.0b	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
0.7b	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
0.7b	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))
13.8b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
13.8b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))

rewrite48.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-div_binary64_2497` `cbrt-prod_binary64_2496`
5×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
4×	`add-log-exp_binary64_2504` `associate-*r/_binary64_2407` `add-exp-log_binary64_2503` `pow1/3_binary64_2547` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
3×	`flip--_binary64_2440` `flip3--_binary64_2469`

Counts

4 → 44

Calls

8 calls:

13.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
13.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
10.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
3.0ms	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))
0.0ms	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))

series2.9s (15.9%)

Counts

4 → 37

Calls

4 calls:

1.3s	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
1.3s	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
222.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
118.0ms	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))

Compiler

Compiled 7423 to 6142 computations (17.3% saved)

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5351	3979

prune504.0ms (2.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	1	10	11
Picked	1	0	1
Done	0	2	2
Total	81	14	95

Error

0.0b

Counts

95 → 14

Compiler

Compiled 7901 to 6227 computations (21.2% saved)

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	513	2702
1	513	2702

regimes718.0ms (3.9%)

Compiler: Compiled 10816 to 8911 computations (17.6% saved)

bsearch0.0ms (0%)

regimes140.0ms (0.8%)

Compiler: Compiled 658 to 671 computations (-2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

regimes88.0ms (0.5%)

Compiler: Compiled 336 to 371 computations (-10.4% saved)

bsearch0.0ms (0%)

regimes51.0ms (0.3%)

Compiler: Compiled 99 to 139 computations (-40.4% saved)

bsearch0.0ms (0%)

regimes17.0ms (0.1%)

Accuracy

Total 0.5b remaining (89.8%)

Threshold costs 0.5b (89.8%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch5.0ms (0%)

Compiler: Compiled 75 to 62 computations (17.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	154	115
1	154	115

end0.0ms (0%)

sample5.5s (29.5%)

Algorithm

1×

intervals

Results

1.7s	4019×	body	1024	valid
505.0ms	1916×	body	1024	invalid
475.0ms	2078×	body	512	valid
182.0ms	2587×	body	128	invalid
181.0ms	985×	body	512	invalid
145.0ms	1011×	body	256	valid
139.0ms	238×	body	2048	valid
65.0ms	447×	body	256	invalid
47.0ms	654×	body	128	valid

Compiler

Compiled 1874 to 1540 computations (17.8% saved)

Pareto

0.7901607979867719

Details

analyze358.0ms (1.9%)

sample123.0ms (0.7%)

simplify167.0ms (0.9%)

prune3.0ms (0%)

localize9.0ms (0%)

rewrite23.0ms (0.1%)

series194.0ms (1%)

simplify74.0ms (0.4%)

prune126.0ms (0.7%)

localize19.0ms (0.1%)

rewrite47.0ms (0.3%)

series495.0ms (2.7%)

simplify56.0ms (0.3%)

prune300.0ms (1.6%)

localize30.0ms (0.2%)

rewrite71.0ms (0.4%)

series5.3s (28.6%)

simplify116.0ms (0.6%)

prune857.0ms (4.6%)

localize36.0ms (0.2%)

rewrite48.0ms (0.3%)

series2.9s (15.9%)

simplify79.0ms (0.4%)

prune504.0ms (2.7%)

simplify40.0ms (0.2%)

regimes718.0ms (3.9%)

bsearch0.0ms (0%)

regimes140.0ms (0.8%)

bsearch1.0ms (0%)

regimes88.0ms (0.5%)

bsearch0.0ms (0%)

regimes51.0ms (0.3%)

bsearch0.0ms (0%)

regimes17.0ms (0.1%)

bsearch5.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample5.5s (29.5%)

Profiling