Details

analyze529.0ms (4.7%)

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)

sample136.0ms (1.2%)

Algorithm

1×

intervals

Results

65.0ms	141×	body	1024	valid
17.0ms	59×	body	1024	invalid
12.0ms	52×	body	512	valid
8.0ms	33×	body	256	valid
7.0ms	10×	body	2048	valid
5.0ms	29×	body	512	invalid
5.0ms	77×	body	128	invalid
2.0ms	17×	body	256	invalid
1.0ms	20×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify309.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4703	18
1	4703	18

prune2.0ms (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

Merged error: 45.0b

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)))
5.6b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_3519` `add-sqr-sqrt_binary64_3541`
9×	`cancel-sign-sub-inv_binary64_3485`
7×	`add-cbrt-cube_binary64_3555` `add-exp-log_binary64_3557` `pow1_binary64_3580`
6×	`add-cube-cbrt_binary64_3554`
5×	`associate-r_binary64_3459`
4×	`add-log-exp_binary64_3558` `distribute-lft-in_binary64_3468` `distribute-rgt-in_binary64_3469`
3×	`pow-prod-down_binary64_3590` `prod-exp_binary64_3568` `sub-neg_binary64_3512` `cbrt-unprod_binary64_3552`
2×	`difference-of-squares_binary64_3488` `flip--_binary64_3494` `associate-*r/_binary64_3461` `distribute-lft-out--_binary64_3471` `flip3--_binary64_3523`
1×	`diff-log_binary64_3611` `associate-l_binary64_3460` `*-commutative_binary64_3450`

Counts

2 → 46

Calls

2 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))

series179.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

138.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
40.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4880	911
1	4880	911

prune77.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	4	53

Merged error: 0.2b

Counts

53 → 4

Compiler

Compiled 1266 to 646 computations (49% saved)

localize15.0ms (0.1%)

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))
0.0b	(*.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)))

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_3541`
19×	`add-exp-log_binary64_3557`
18×	`associate-r_binary64_3459`
13×	`add-cbrt-cube_binary64_3555`
12×	`*-un-lft-identity_binary64_3519` `add-cube-cbrt_binary64_3554`
11×	`associate-l_binary64_3460`
9×	`add-log-exp_binary64_3558` `prod-exp_binary64_3568` `pow1_binary64_3580`
8×	`unpow-prod-down_binary64_3598`
7×	`unswap-sqr_binary64_3487`
5×	`cbrt-unprod_binary64_3552`
4×	`cube-prod_binary64_3547` `sqr-pow_binary64_3491`
3×	`pow-prod-down_binary64_3590` `*-commutative_binary64_3450`
2×	`pow-exp_binary64_3587` `flip-+_binary64_3493` `pow-to-exp_binary64_3588` `flip3-+_binary64_3522` `sum-log_binary64_3610` `associate-+l+_binary64_3452` `associate-*r/_binary64_3461`
1×	`+-commutative_binary64_3449` `diff-log_binary64_3611` `cancel-sign-sub-inv_binary64_3485` `sub-neg_binary64_3512` `distribute-lft-in_binary64_3468` `cube-mult_binary64_3549` `associate-+l-_binary64_3454` `unpow3_binary64_3585` `distribute-rgt-in_binary64_3469`

Counts

4 → 93

Calls

4 calls:

14.0ms	(.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)))
8.0ms	(+.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)

series471.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

290.0ms	(.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)))
69.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
64.0ms	(*.f64 (pow.f64 im 5) -1/60)
47.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5029	1865

prune310.0ms (2.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	99	10	109

Merged error: 0.1b

Counts

109 → 10

Compiler

Compiled 5654 to 4456 computations (21.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/120 (pow.f64 im 5))
0.1b	(.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/120 (pow.f64 im 5))))
0.1b	(*.f64 1/6 (pow.f64 im 3))
0.1b	(*.f64 (sin.f64 re) im)

rewrite39.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_3541`
25×	`associate-r_binary64_3459`
18×	`add-exp-log_binary64_3557`
15×	`*-un-lft-identity_binary64_3519` `add-cube-cbrt_binary64_3554`
12×	`add-cbrt-cube_binary64_3555` `associate-l_binary64_3460`
9×	`unswap-sqr_binary64_3487`
8×	`unpow-prod-down_binary64_3598` `prod-exp_binary64_3568` `pow1_binary64_3580`
4×	`cube-prod_binary64_3547` `add-log-exp_binary64_3558` `cbrt-unprod_binary64_3552` `sqr-pow_binary64_3491` `*-commutative_binary64_3450`
2×	`pow-exp_binary64_3587` `pow-prod-down_binary64_3590` `pow-to-exp_binary64_3588` `associate-*r/_binary64_3461`
1×	`flip-+_binary64_3493` `flip3-+_binary64_3522` `distribute-lft-in_binary64_3468` `cube-mult_binary64_3549` `unpow3_binary64_3585` `distribute-rgt-in_binary64_3469`

Counts

4 → 96

Calls

4 calls:

10.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/120 (pow.f64 im 5))))
9.0ms	(*.f64 1/6 (pow.f64 im 3))
6.0ms	(*.f64 1/120 (pow.f64 im 5))
5.0ms	(*.f64 (sin.f64 re) im)

series591.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

419.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/120 (pow.f64 im 5))))
62.0ms	(*.f64 1/120 (pow.f64 im 5))
58.0ms	(*.f64 1/6 (pow.f64 im 3))
51.0ms	(*.f64 (sin.f64 re) im)

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5187	1362

prune348.0ms (3.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	107	11	118

Merged error: 0.0b

Counts

118 → 11

Compiler

Compiled 6880 to 4915 computations (28.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.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)))))
13.5b	(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))))
13.5b	(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))))
13.5b	(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))))

rewrite58.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_3461`
18×	`cbrt-div_binary64_3551`
11×	`pow1_binary64_3580`
10×	`add-sqr-sqrt_binary64_3541`
9×	`flip-+_binary64_3493` `flip3-+_binary64_3522` `pow1/3_binary64_3601`
8×	`*-un-lft-identity_binary64_3519` `add-cube-cbrt_binary64_3554`
7×	`cbrt-prod_binary64_3550`
6×	`add-exp-log_binary64_3557`
4×	`add-cbrt-cube_binary64_3555` `add-log-exp_binary64_3558` `associate-r_binary64_3459` `frac-times_binary64_3529` `associate-l_binary64_3460` `swap-sqr_binary64_3486`
2×	`pow-prod-up_binary64_3589` `associate-*l/_binary64_3462` `pow-prod-down_binary64_3590` `pow-sqr_binary64_3492`
1×	`pow-plus_binary64_3582` `prod-exp_binary64_3568` `cbrt-unprod_binary64_3552` `unswap-sqr_binary64_3487` `*-commutative_binary64_3450` `pow2_binary64_3600`

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)))))
11.0ms	(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))))

series2.7s (23.7%)

Counts

4 → 12

Calls

4 calls:

951.0ms	(.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)))))
576.0ms	(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))))
572.0ms	(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))))
572.0ms	(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))))

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5011	4064

prune378.0ms (3.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

Compiler

Compiled 6225 to 4839 computations (22.3% saved)

regimes217.0ms (1.9%)

Compiler: Compiled 2639 to 2086 computations (21% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	120	31
1	120	31

end0.0ms (0%)

sample4.6s (40.5%)

Algorithm

1×

intervals

Results

2.0s	4100×	body	1024	valid
573.0ms	1966×	body	1024	invalid
464.0ms	1988×	body	512	valid
195.0ms	1010×	body	512	invalid
180.0ms	2615×	body	128	invalid
155.0ms	223×	body	2048	valid
147.0ms	1018×	body	256	valid
73.0ms	509×	body	256	invalid
48.0ms	671×	body	128	valid
1.0ms	2×	body	2048	invalid

Compiler

Compiled 447 to 349 computations (21.9% saved)

Details

analyze529.0ms (4.7%)

sample136.0ms (1.2%)

simplify309.0ms (2.7%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite23.0ms (0.2%)

series179.0ms (1.6%)

simplify78.0ms (0.7%)

prune77.0ms (0.7%)

localize15.0ms (0.1%)

rewrite44.0ms (0.4%)

series471.0ms (4.2%)

simplify43.0ms (0.4%)

prune310.0ms (2.7%)

localize14.0ms (0.1%)

rewrite39.0ms (0.3%)

series591.0ms (5.2%)

simplify68.0ms (0.6%)

prune348.0ms (3.1%)

localize20.0ms (0.2%)

rewrite58.0ms (0.5%)

series2.7s (23.7%)

simplify78.0ms (0.7%)

prune378.0ms (3.3%)

regimes217.0ms (1.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.6s (40.5%)

Profiling