Details

analyze346.0ms (2.8%)

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)

sample134.0ms (1.1%)

Algorithm

1×

intervals

Results

61.0ms	126×	body	1024	valid
17.0ms	61×	body	1024	invalid
15.0ms	65×	body	512	valid
8.0ms	43×	body	512	invalid
6.0ms	91×	body	128	invalid
6.0ms	40×	body	256	valid
3.0ms	5×	body	2048	valid
2.0ms	14×	body	256	invalid
1.0ms	20×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify238.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5003	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

Merged error: 41.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (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)))
5.3b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_3110` `add-exp-log_binary64_3145` `pow1_binary64_3168` `add-cbrt-cube_binary64_3143` `add-sqr-sqrt_binary64_3131`
5×	`associate-r_binary64_3052`
4×	`add-log-exp_binary64_3146`
3×	`sub-neg_binary64_3103` `prod-exp_binary64_3156` `pow-prod-down_binary64_3178` `cbrt-unprod_binary64_3140` `add-cube-cbrt_binary64_3142`
2×	`difference-of-squares_binary64_3079` `associate-*r/_binary64_3054` `distribute-lft-out--_binary64_3064` `flip3--_binary64_3114` `flip--_binary64_3085`
1×	`diff-log_binary64_3199` `-commutative_binary64_3043` `associate-l*_binary64_3053` `distribute-lft-in_binary64_3061` `distribute-rgt-in_binary64_3062`

Counts

2 → 37

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))

series189.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

150.0ms	(.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))

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5484	764

prune45.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0.1b

Counts

44 → 2

Compiler

Compiled 717 to 276 computations (61.5% 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))
0.1b	(*.f64 (pow.f64 im 5) -1/60)
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)))
0.1b	(*.f64 1/3 (pow.f64 im 3))

rewrite41.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_3131`
19×	`add-exp-log_binary64_3145`
18×	`associate-r_binary64_3052`
13×	`add-cbrt-cube_binary64_3143`
12×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110`
11×	`associate-l_binary64_3053`
9×	`prod-exp_binary64_3156` `pow1_binary64_3168` `add-log-exp_binary64_3146`
8×	`unpow-prod-down_binary64_3186`
7×	`unswap-sqr_binary64_3078`
5×	`cbrt-unprod_binary64_3140`
4×	`cube-prod_binary64_3135` `sqr-pow_binary64_3082`
3×	`pow-prod-down_binary64_3178` `*-commutative_binary64_3043`
2×	`pow-exp_binary64_3175` `associate-*r/_binary64_3054` `flip3-+_binary64_3113` `sum-log_binary64_3198` `flip-+_binary64_3084` `pow-to-exp_binary64_3176`
1×	`sub-neg_binary64_3103` `+-commutative_binary64_3042` `associate-+l-_binary64_3047` `diff-log_binary64_3199` `distribute-lft-in_binary64_3061` `unpow3_binary64_3173` `distribute-rgt-in_binary64_3062` `associate-+l+_binary64_3045` `cube-mult_binary64_3137`

Counts

4 → 92

Calls

4 calls:

12.0ms	(.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))
5.0ms	(*.f64 (pow.f64 im 5) -1/60)

series483.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

299.0ms	(.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)))
73.0ms	(*.f64 (pow.f64 im 5) -1/60)
63.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
49.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4967	1849
1	4967	1849

prune159.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

Compiler

Compiled 2877 to 2200 computations (23.5% saved)

localize20.0ms (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))))

rewrite61.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_3054`
18×	`cbrt-div_binary64_3139`
11×	`pow1_binary64_3168`
10×	`add-sqr-sqrt_binary64_3131`
9×	`flip3-+_binary64_3113` `pow1/3_binary64_3189` `flip-+_binary64_3084`
8×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110`
7×	`cbrt-prod_binary64_3138`
6×	`add-exp-log_binary64_3145`
4×	`frac-times_binary64_3120` `swap-sqr_binary64_3077` `add-log-exp_binary64_3146` `associate-l_binary64_3053` `associate-r_binary64_3052` `add-cbrt-cube_binary64_3143`
2×	`pow-prod-down_binary64_3178` `pow-sqr_binary64_3083` `associate-*l/_binary64_3055` `pow-prod-up_binary64_3177`
1×	`pow2_binary64_3188` `prod-exp_binary64_3156` `cbrt-unprod_binary64_3140` `*-commutative_binary64_3043` `unswap-sqr_binary64_3078` `pow-plus_binary64_3170`

Counts

4 → 72

Calls

4 calls:

14.0ms	(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))))
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))))

series2.7s (21.9%)

Counts

4 → 12

Calls

4 calls:

967.0ms	(.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)))))
586.0ms	(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))))
583.0ms	(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))))
581.0ms	(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))))

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4884	3906
1	4884	3906

prune377.0ms (3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

Compiler

Compiled 6409 to 4995 computations (22.1% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(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 1/2 (sin.f64 re)))
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))))

rewrite41.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-div_binary64_3139` `cbrt-prod_binary64_3138`
5×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110` `add-sqr-sqrt_binary64_3131`
4×	`add-exp-log_binary64_3145` `pow1_binary64_3168` `associate-*r/_binary64_3054` `add-log-exp_binary64_3146` `pow1/3_binary64_3189` `add-cbrt-cube_binary64_3143`
3×	`flip3-+_binary64_3113` `flip-+_binary64_3084`

Counts

4 → 44

Calls

4 calls:

13.0ms	(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))))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
3.0ms	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))

series1.5s (12.1%)

Counts

4 → 12

Calls

4 calls:

579.0ms	(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))))
573.0ms	(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))))
179.0ms	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))
167.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5300	1990

prune242.0ms (2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	54	10	64

Merged error: 0.0b

Counts

64 → 10

Compiler

Compiled 4325 to 3360 computations (22.3% saved)

regimes391.0ms (3.1%)

Compiler: Compiled 5356 to 4493 computations (16.1% 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%)

sample5.1s (40.8%)

Algorithm

1×

intervals

Results

1.9s	4050×	body	1024	valid
581.0ms	1987×	body	1024	invalid
505.0ms	2079×	body	512	valid
216.0ms	1072×	body	512	invalid
169.0ms	2540×	body	128	invalid
160.0ms	221×	body	2048	valid
159.0ms	1051×	body	256	valid
67.0ms	482×	body	256	invalid
44.0ms	599×	body	128	valid

Compiler

Compiled 945 to 787 computations (16.7% saved)

Details

analyze346.0ms (2.8%)

sample134.0ms (1.1%)

simplify238.0ms (1.9%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite22.0ms (0.2%)

series189.0ms (1.5%)

simplify68.0ms (0.5%)

prune45.0ms (0.4%)

localize15.0ms (0.1%)

rewrite41.0ms (0.3%)

series483.0ms (3.9%)

simplify44.0ms (0.4%)

prune159.0ms (1.3%)

localize20.0ms (0.2%)

rewrite61.0ms (0.5%)

series2.7s (21.9%)

simplify108.0ms (0.9%)

prune377.0ms (3%)

localize24.0ms (0.2%)

rewrite41.0ms (0.3%)

series1.5s (12.1%)

simplify66.0ms (0.5%)

prune242.0ms (2%)

regimes391.0ms (3.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.1s (40.8%)

Profiling