Details

analyze492.0ms (5.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4887	36
1	4887	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
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)

sample122.0ms (1.5%)

Algorithm

1×

intervals

Results

62.0ms	152×	body	1024	valid
14.0ms	63×	body	1024	invalid
13.0ms	60×	body	512	valid
8.0ms	14×	body	2048	valid
5.0ms	34×	body	512	invalid
2.0ms	15×	body	256	valid
2.0ms	15×	body	256	invalid
2.0ms	24×	body	128	invalid
1.0ms	15×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5340	18

prune3.0ms (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: 57.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

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)))
4.5b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite21.0ms (0.2%)

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))

series99.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

78.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
21.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4890	927
1	4890	927

prune60.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	2	53

Merged error: 0.1b

Counts

53 → 2

Compiler

Compiled 868 to 343 computations (60.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
0.1b	(*.f64 (pow.f64 im 5) -1/60)
0.1b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.1b	(*.f64 1/3 (pow.f64 im 3))

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2487`
19×	`add-exp-log_binary64_2503`
18×	`associate-r_binary64_2405`
13×	`add-cbrt-cube_binary64_2501`
12×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
11×	`associate-l_binary64_2406`
9×	`add-log-exp_binary64_2504` `pow1_binary64_2526` `prod-exp_binary64_2514`
8×	`unpow-prod-down_binary64_2544`
7×	`unswap-sqr_binary64_2433`
5×	`cbrt-unprod_binary64_2498`
4×	`cube-prod_binary64_2493` `sqr-pow_binary64_2437`
3×	`*-commutative_binary64_2396` `pow-prod-down_binary64_2536`
2×	`flip3-+_binary64_2468` `sum-log_binary64_2556` `associate-+l+_binary64_2398` `flip-+_binary64_2439` `associate-*r/_binary64_2407` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534`
1×	`associate-+l-_binary64_2400` `distribute-lft-in_binary64_2414` `unpow3_binary64_2531` `+-commutative_binary64_2395` `sub-neg_binary64_2458` `cube-mult_binary64_2495` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `diff-log_binary64_2557`

Counts

4 → 93

Calls

4 calls:

11.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
10.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
6.0ms	(*.f64 1/3 (pow.f64 im 3))
5.0ms	(*.f64 (pow.f64 im 5) -1/60)

series235.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

148.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
32.0ms	(*.f64 (pow.f64 im 5) -1/60)
31.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
24.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5179	1881

prune167.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	100	7	107

Merged error: 0.1b

Counts

107 → 7

Compiler

Compiled 2952 to 2267 computations (23.2% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.1b	(*.f64 1/3 (pow.f64 im 3))
0.1b	(*.f64 1/3 (pow.f64 im 3))
0.2b	(.f64 (sqrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (sqrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))

rewrite72.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

136×	`pow1_binary64_2526`
74×	`pow-prod-down_binary64_2536`
60×	`sqrt-pow1_binary64_2483`
33×	`add-sqr-sqrt_binary64_2487`
31×	`associate-r_binary64_2405`
21×	`add-exp-log_binary64_2503`
17×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `pow-prod-up_binary64_2535`
16×	`associate-*r/_binary64_2407`
15×	`add-cbrt-cube_binary64_2501`
12×	`pow1/2_binary64_2545` `sqrt-div_binary64_2482`
11×	`pow-sqr_binary64_2438` `associate-l_binary64_2406`
10×	`prod-exp_binary64_2514`
9×	`unswap-sqr_binary64_2433`
8×	`cube-prod_binary64_2493` `unpow-prod-down_binary64_2544`
7×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
6×	`cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396` `sqrt-prod_binary64_2481` `frac-times_binary64_2475` `swap-sqr_binary64_2432` `sqr-pow_binary64_2437`
2×	`associate-*l/_binary64_2408` `unpow3_binary64_2531` `pow-exp_binary64_2533` `cube-mult_binary64_2495` `pow-to-exp_binary64_2534`
1×	`distribute-lft-in_binary64_2414` `pow-plus_binary64_2528` `sqrt-unprod_binary64_2485` `rem-square-sqrt_binary64_2477` `distribute-rgt-in_binary64_2415` `pow2_binary64_2546`

Counts

4 → 158

Calls

4 calls:

23.0ms	(.f64 (sqrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (sqrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))
11.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
6.0ms	(*.f64 1/3 (pow.f64 im 3))
6.0ms	(*.f64 1/3 (pow.f64 im 3))

series417.0ms (5%)

Counts

4 → 12

Calls

4 calls:

213.0ms	(.f64 (sqrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (sqrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))
151.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
30.0ms	(*.f64 1/3 (pow.f64 im 3))
22.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4957	3757
1	4957	3757

prune492.0ms (5.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	170	7	177

Merged error: 0.1b

Counts

177 → 7

Compiler

Compiled 7351 to 5671 computations (22.9% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/3 (pow.f64 im 3))
0.1b	(*.f64 1/3 (pow.f64 im 3))
0.1b	(*.f64 1/3 (pow.f64 im 3))
29.7b	(/.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))) (.f64 (pow.f64 im 10) -1/3600))) (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

rewrite61.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_2487`
36×	`associate-r_binary64_2405`
28×	`add-exp-log_binary64_2503`
19×	`add-cbrt-cube_binary64_2501`
18×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
12×	`cube-prod_binary64_2493` `unswap-sqr_binary64_2433` `unpow-prod-down_binary64_2544` `prod-exp_binary64_2514`
9×	`associate-l_binary64_2406`
6×	`sqr-pow_binary64_2437` `cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `pow1_binary64_2526`
3×	`unpow3_binary64_2531` `-commutative_binary64_2396` `times-frac_binary64_2471` `associate-/r_binary64_2409` `cbrt-undiv_binary64_2499` `pow-exp_binary64_2533` `cube-mult_binary64_2495` `pow-to-exp_binary64_2534` `div-exp_binary64_2516`
2×	`associate-/l/_binary64_2412` `associate-*r/_binary64_2407` `associate-/r/_binary64_2411`
1×	`flip3-+_binary64_2468` `flip--_binary64_2440` `flip-+_binary64_2439` `clear-num_binary64_2464` `div-inv_binary64_2462` `frac-2neg_binary64_2476` `flip3--_binary64_2469` `associate-/l*_binary64_2410`

Counts

4 → 120

Calls

4 calls:

24.0ms	(/.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))) (.f64 (pow.f64 im 10) -1/3600))) (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(*.f64 1/3 (pow.f64 im 3))
7.0ms	(*.f64 1/3 (pow.f64 im 3))
6.0ms	(*.f64 1/3 (pow.f64 im 3))

series473.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

402.0ms	(/.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))) (.f64 (pow.f64 im 10) -1/3600))) (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
24.0ms	(*.f64 1/3 (pow.f64 im 3))
24.0ms	(*.f64 1/3 (pow.f64 im 3))
23.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5390	2964

prune424.0ms (5.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	133	6	139

Merged error: 0.0b

Counts

139 → 6

Compiler

Compiled 6806 to 5288 computations (22.3% saved)

regimes373.0ms (4.5%)

Compiler: Compiled 4878 to 4020 computations (17.6% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	176	30
1	176	30

end0.0ms (0%)

sample4.4s (52.7%)

Algorithm

1×

intervals

Results

1.8s	4825×	body	1024	valid
458.0ms	2039×	body	1024	invalid
361.0ms	1730×	body	512	valid
241.0ms	434×	body	2048	valid
167.0ms	992×	body	512	invalid
88.0ms	665×	body	256	valid
56.0ms	512×	body	256	invalid
42.0ms	674×	body	128	invalid
22.0ms	346×	body	128	valid

Compiler

Compiled 879 to 721 computations (18% saved)

Details

analyze492.0ms (5.9%)

sample122.0ms (1.5%)

simplify85.0ms (1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite21.0ms (0.2%)

series99.0ms (1.2%)

simplify60.0ms (0.7%)

prune60.0ms (0.7%)

localize13.0ms (0.2%)

rewrite40.0ms (0.5%)

series235.0ms (2.8%)

simplify44.0ms (0.5%)

prune167.0ms (2%)

localize17.0ms (0.2%)

rewrite72.0ms (0.9%)

series417.0ms (5%)

simplify65.0ms (0.8%)

prune492.0ms (5.9%)

localize20.0ms (0.2%)

rewrite61.0ms (0.7%)

series473.0ms (5.7%)

simplify55.0ms (0.7%)

prune424.0ms (5.1%)

regimes373.0ms (4.5%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample4.4s (52.7%)

Profiling