Details

analyze352.0ms (1.1%)

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
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample110.0ms (0.3%)

Algorithm

1×

intervals

Results

55.0ms	156×	body	1024	valid
13.0ms	60×	body	1024	invalid
10.0ms	48×	body	512	valid
8.0ms	15×	body	2048	valid
6.0ms	37×	body	512	invalid
3.0ms	27×	body	256	valid
2.0ms	28×	body	128	invalid
2.0ms	16×	body	256	invalid
1.0ms	10×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify182.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5340	18

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 57.4b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.4b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite21.0ms (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

2 calls:

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

series280.0ms (0.8%)

Counts

2 → 16

Calls

2 calls:

230.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
50.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 399 to 342 computations (14.3% saved)

simplify53.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5017	1153

prune72.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	2	63

Merged error: 0.1b

Counts

63 → 2

Compiler

Compiled 1037 to 461 computations (55.5% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/2520 (pow.f64 im 7))
0.1b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(.f64 (.f64 1/2 (cos.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))

rewrite46.0ms (0.1%)

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

4 calls:

15.0ms	(.f64 (.f64 1/2 (cos.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))

series499.0ms (1.5%)

Counts

4 → 23

Calls

4 calls:

364.0ms	(.f64 (.f64 1/2 (cos.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))))
55.0ms	(*.f64 1/2520 (pow.f64 im 7))
42.0ms	(*.f64 1/60 (pow.f64 im 5))
38.0ms	(*.f64 1/3 (pow.f64 im 3))

Compiler

Compiled 1073 to 912 computations (15% saved)

simplify77.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4952	2948
1	4952	2948

prune281.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	130	6	136
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	130	8	138

Merged error: 0.1b

Counts

138 → 8

Compiler

Compiled 4757 to 3651 computations (23.2% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.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 (cos.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))))))
0.7b	(cbrt.f64 (.f64 (.f64 1/2 (cos.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)))))
0.7b	(cbrt.f64 (.f64 (.f64 1/2 (cos.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)))))
0.7b	(cbrt.f64 (.f64 (.f64 1/2 (cos.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)))))

rewrite73.0ms (0.2%)

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

4 calls:

16.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.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 (cos.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))))))
15.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.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)))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.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)))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.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)))))

series17.7s (53.5%)

Counts

4 → 46

Calls

4 calls:

4.6s	(cbrt.f64 (.f64 (.f64 1/2 (cos.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)))))
4.6s	(cbrt.f64 (.f64 (.f64 1/2 (cos.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)))))
4.6s	(cbrt.f64 (.f64 (.f64 1/2 (cos.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)))))
3.9s	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.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 (cos.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 13473 to 11406 computations (15.3% saved)

simplify152.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5385	14797

prune1.4s (4.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	115	11	126

Merged error: 0.0b

Counts

126 → 11

Compiler

Compiled 16676 to 13443 computations (19.4% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

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 (-.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 (.f64 1/2 (cos.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)))))
0.7b	(.f64 (cbrt.f64 (.f64 1/2 (cos.f64 re))) (cbrt.f64 (*.f64 1/2 (cos.f64 re))))

rewrite54.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_2487`
11×	`pow1_binary64_2526` `cbrt-prod_binary64_2496`
10×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
9×	`pow1/3_binary64_2547`
6×	`cbrt-div_binary64_2497` `add-exp-log_binary64_2503`
4×	`add-log-exp_binary64_2504` `swap-sqr_binary64_2432` `add-cbrt-cube_binary64_2501` `associate-r_binary64_2405` `associate-l_binary64_2406`
3×	`flip--_binary64_2440` `flip3--_binary64_2469`
2×	`associate-*r/_binary64_2407` `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 → 68

Calls

4 calls:

12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.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)))))
12.0ms	(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))))
9.0ms	(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))))
6.0ms	(.f64 (cbrt.f64 (.f64 1/2 (cos.f64 re))) (cbrt.f64 (*.f64 1/2 (cos.f64 re))))

series5.2s (15.7%)

Counts

4 → 30

Calls

4 calls:

4.7s	(cbrt.f64 (.f64 (.f64 1/2 (cos.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)))))
241.0ms	(.f64 (cbrt.f64 (.f64 1/2 (cos.f64 re))) (cbrt.f64 (*.f64 1/2 (cos.f64 re))))
136.0ms	(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))))
135.0ms	(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))))

Compiler

Compiled 5895 to 4983 computations (15.5% saved)

simplify93.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4954	6189
1	4954	6189

prune794.0ms (2.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	98	11	109

Merged error: 0.0b

Counts

109 → 11

Compiler

Compiled 10900 to 8756 computations (19.7% saved)

regimes627.0ms (1.9%)

Compiler: Compiled 9336 to 7710 computations (17.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	104	39
1	104	39

end0.0ms (0%)

sample4.9s (14.8%)

Algorithm

1×

intervals

Results

1.8s	4865×	body	1024	valid
432.0ms	1905×	body	1024	invalid
359.0ms	1692×	body	512	valid
228.0ms	422×	body	2048	valid
172.0ms	1044×	body	512	invalid
83.0ms	661×	body	256	valid
50.0ms	459×	body	256	invalid
47.0ms	702×	body	128	invalid
23.0ms	360×	body	128	valid

Compiler

Compiled 1628 to 1341 computations (17.6% saved)

Details

analyze352.0ms (1.1%)

sample110.0ms (0.3%)

simplify182.0ms (0.5%)

prune4.0ms (0%)

localize10.0ms (0%)

rewrite21.0ms (0.1%)

series280.0ms (0.8%)

simplify53.0ms (0.2%)

prune72.0ms (0.2%)

localize21.0ms (0.1%)

rewrite46.0ms (0.1%)

series499.0ms (1.5%)

simplify77.0ms (0.2%)

prune281.0ms (0.8%)

localize24.0ms (0.1%)

rewrite73.0ms (0.2%)

series17.7s (53.5%)

simplify152.0ms (0.5%)

prune1.4s (4.4%)

localize29.0ms (0.1%)

rewrite54.0ms (0.2%)

series5.2s (15.7%)

simplify93.0ms (0.3%)

prune794.0ms (2.4%)

regimes627.0ms (1.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.9s (14.8%)

Profiling