Details

analyze329.0ms (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)

sample119.0ms (1.2%)

Algorithm

1×

intervals

Results

57.0ms	138×	body	1024	valid
14.0ms	61×	body	1024	invalid
12.0ms	53×	body	512	valid
7.0ms	33×	body	256	valid
5.0ms	79×	body	128	invalid
5.0ms	27×	body	512	invalid
2.0ms	29×	body	128	valid
2.0ms	16×	body	256	invalid
2.0ms	3×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify160.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4793	18
1	4793	18

prune7.0ms (0.1%)

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

42.2b

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)))
7.0b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169`
9×	`cancel-sign-sub-inv_binary64_3113`
7×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208`
6×	`add-cube-cbrt_binary64_3182`
5×	`associate-r_binary64_3087`
4×	`distribute-lft-in_binary64_3096` `add-log-exp_binary64_3186` `distribute-rgt-in_binary64_3097`
3×	`pow-prod-down_binary64_3218` `sub-neg_binary64_3140` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
2×	`flip--_binary64_3122` `flip3--_binary64_3151` `distribute-lft-out--_binary64_3099` `difference-of-squares_binary64_3116` `associate-*r/_binary64_3089`
1×	`-commutative_binary64_3078` `diff-log_binary64_3239` `associate-l*_binary64_3088`

Counts

2 → 46

Calls

2 calls:

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

series90.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

69.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
22.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4892	911
1	4892	911

prune58.0ms (0.6%)

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

Error

0.1b

Counts

53 → 2

Compiler

Compiled 864 to 337 computations (61% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_3169`
18×	`add-exp-log_binary64_3185` `associate-r_binary64_3087`
12×	`add-cbrt-cube_binary64_3183`
11×	`-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182` `associate-l*_binary64_3088`
9×	`prod-exp_binary64_3196`
8×	`unpow-prod-down_binary64_3226` `pow1_binary64_3208`
7×	`unswap-sqr_binary64_3115`
5×	`cbrt-unprod_binary64_3180`
4×	`cube-prod_binary64_3175` `sqr-pow_binary64_3119`
3×	`*-commutative_binary64_3078` `pow-prod-down_binary64_3218` `add-log-exp_binary64_3186`
2×	`pow-exp_binary64_3215` `pow-to-exp_binary64_3216` `associate-*r/_binary64_3089`
1×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `distribute-lft-in_binary64_3096` `cube-mult_binary64_3177` `distribute-rgt-in_binary64_3097` `unpow3_binary64_3213`

Counts

3 → 78

Calls

3 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.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))
6.0ms	(*.f64 (pow.f64 im 5) -1/60)

series212.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

159.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
30.0ms	(*.f64 (pow.f64 im 5) -1/60)
24.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5603	1371

prune136.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	82	7	89

Error

0.1b

Counts

89 → 7

Compiler

Compiled 2481 to 1898 computations (23.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60))) (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

rewrite53.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
18×	`cbrt-div_binary64_3179`
15×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229` `flip-+_binary64_3121` `flip3-+_binary64_3150`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `associate-l_binary64_3088`
4×	`frac-times_binary64_3157` `unswap-sqr_binary64_3115` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
2×	`pow-prod-down_binary64_3218` `associate-l/_binary64_3090` `pow-prod-up_binary64_3217` `associate-r/_binary64_3089` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

Counts

4 → 87

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60))) (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
6.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
6.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
6.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

series414.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

123.0ms	(.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60))) (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
101.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
98.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
91.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4928	4389
1	4928	4389

prune472.0ms (4.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	96	10	106

Error

0.0b

Counts

106 → 10

Compiler

Compiled 7114 to 5761 computations (19% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))
16.6b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
16.6b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
16.6b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))

rewrite56.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_3089`
18×	`cbrt-div_binary64_3179`
11×	`pow1_binary64_3208`
10×	`add-sqr-sqrt_binary64_3169`
9×	`pow1/3_binary64_3229` `flip-+_binary64_3121` `flip3-+_binary64_3150`
8×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
7×	`cbrt-prod_binary64_3178`
6×	`add-exp-log_binary64_3185`
4×	`frac-times_binary64_3157` `add-cbrt-cube_binary64_3183` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `add-log-exp_binary64_3186` `associate-l_binary64_3088`
2×	`pow-prod-down_binary64_3218` `associate-*l/_binary64_3090` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

Counts

4 → 72

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))
10.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
10.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
10.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))

series1.5s (15.7%)

Counts

4 → 12

Calls

4 calls:

548.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))
345.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
329.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
325.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4947	4064
1	4947	4064

prune386.0ms (3.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	83	11	94

Error

0.0b

Counts

94 → 11

Compiler

Compiled 6225 to 4839 computations (22.3% saved)

regimes538.0ms (5.5%)

Accuracy

Total 0.7b remaining (93.4%)

Threshold costs 0.7b (93.4%)

Compiler

Compiled 8002 to 6622 computations (17.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	30
1	51	30

end0.0ms (0%)

sample4.9s (49.3%)

Algorithm

1×

intervals

Results

1.7s	4034×	body	1024	valid
467.0ms	1988×	body	1024	invalid
460.0ms	2043×	body	512	valid
166.0ms	957×	body	512	invalid
156.0ms	2445×	body	128	invalid
142.0ms	1049×	body	256	valid
139.0ms	249×	body	2048	valid
57.0ms	487×	body	256	invalid
41.0ms	625×	body	128	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 1376 to 1136 computations (17.4% saved)

Details

analyze329.0ms (3.3%)

sample119.0ms (1.2%)

simplify160.0ms (1.6%)

prune7.0ms (0.1%)

localize9.0ms (0.1%)

rewrite22.0ms (0.2%)

series90.0ms (0.9%)

simplify79.0ms (0.8%)

prune58.0ms (0.6%)

localize17.0ms (0.2%)

rewrite32.0ms (0.3%)

series212.0ms (2.2%)

simplify57.0ms (0.6%)

prune136.0ms (1.4%)

localize18.0ms (0.2%)

rewrite53.0ms (0.5%)

series414.0ms (4.2%)

simplify79.0ms (0.8%)

prune472.0ms (4.8%)

localize19.0ms (0.2%)

rewrite56.0ms (0.6%)

series1.5s (15.7%)

simplify80.0ms (0.8%)

prune386.0ms (3.9%)

regimes538.0ms (5.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.9s (49.3%)

Profiling