Details

analyze357.0ms (2.4%)

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)

sample131.0ms (0.9%)

Algorithm

1×

intervals

Results

69.0ms	153×	body	1024	valid
16.0ms	63×	body	1024	invalid
11.0ms	47×	body	512	valid
10.0ms	15×	body	2048	valid
5.0ms	32×	body	512	invalid
4.0ms	26×	body	256	valid
2.0ms	29×	body	128	invalid
2.0ms	13×	body	256	invalid
1.0ms	15×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify247.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4828	18
1	4828	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: 57.3b

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 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.6b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_2457` `add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469` `*-un-lft-identity_binary64_2436` `pow1_binary64_2494`
5×	`associate-r_binary64_2378`
4×	`add-log-exp_binary64_2472`
3×	`prod-exp_binary64_2482` `pow-prod-down_binary64_2504` `cbrt-unprod_binary64_2466` `add-cube-cbrt_binary64_2468` `sub-neg_binary64_2429`
2×	`distribute-lft-out--_binary64_2390` `flip3--_binary64_2440` `associate-*r/_binary64_2380` `flip--_binary64_2411` `difference-of-squares_binary64_2405`
1×	`distribute-rgt-in_binary64_2388` `-commutative_binary64_2369` `diff-log_binary64_2525` `associate-l*_binary64_2379` `distribute-lft-in_binary64_2387`

Counts

2 → 37

Calls

2 calls:

14.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series183.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

139.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
43.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4884	780
1	4884	780

prune59.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	5	44

Merged error: 0.1b

Counts

44 → 5

Compiler

Compiled 807 to 341 computations (57.7% saved)

localize14.0ms (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 (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 (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2457`
19×	`add-exp-log_binary64_2471`
18×	`associate-r_binary64_2378`
13×	`add-cbrt-cube_binary64_2469`
12×	`add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
11×	`associate-l_binary64_2379`
9×	`prod-exp_binary64_2482` `add-log-exp_binary64_2472` `pow1_binary64_2494`
8×	`unpow-prod-down_binary64_2512`
7×	`unswap-sqr_binary64_2404`
5×	`cbrt-unprod_binary64_2466`
4×	`cube-prod_binary64_2461` `sqr-pow_binary64_2408`
3×	`*-commutative_binary64_2369` `pow-prod-down_binary64_2504`
2×	`flip3-+_binary64_2439` `flip-+_binary64_2410` `associate-*r/_binary64_2380` `sum-log_binary64_2524` `pow-to-exp_binary64_2502` `pow-exp_binary64_2501`
1×	`distribute-rgt-in_binary64_2388` `diff-log_binary64_2525` `associate-+l-_binary64_2373` `cube-mult_binary64_2463` `unpow3_binary64_2499` `associate-+l+_binary64_2371` `+-commutative_binary64_2368` `distribute-lft-in_binary64_2387` `sub-neg_binary64_2429`

Counts

4 → 92

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)))
7.0ms	(+.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)

series468.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

289.0ms	(.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)))
69.0ms	(*.f64 (pow.f64 im 5) -1/60)
59.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
50.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5030	1865

prune173.0ms (1.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	97	7	104
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	97	12	109

Merged error: 0.0b

Counts

109 → 12

Compiler

Compiled 3116 to 2394 computations (23.2% saved)

localize20.0ms (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 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (cbrt.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)))))
0.7b	(cbrt.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))))
0.7b	(cbrt.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))))
0.7b	(cbrt.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))))

rewrite59.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_2380`
18×	`cbrt-div_binary64_2465`
11×	`pow1_binary64_2494`
10×	`add-sqr-sqrt_binary64_2457`
9×	`flip3-+_binary64_2439` `pow1/3_binary64_2515` `flip-+_binary64_2410`
8×	`add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
7×	`cbrt-prod_binary64_2464`
6×	`add-exp-log_binary64_2471`
4×	`add-log-exp_binary64_2472` `swap-sqr_binary64_2403` `add-cbrt-cube_binary64_2469` `associate-r_binary64_2378` `associate-l_binary64_2379` `frac-times_binary64_2446`
2×	`pow-prod-down_binary64_2504` `pow-prod-up_binary64_2503` `associate-*l/_binary64_2381` `pow-sqr_binary64_2409`
1×	`prod-exp_binary64_2482` `*-commutative_binary64_2369` `pow2_binary64_2514` `cbrt-unprod_binary64_2466` `unswap-sqr_binary64_2404` `pow-plus_binary64_2496`

Counts

4 → 72

Calls

4 calls:

13.0ms	(cbrt.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 (cbrt.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)))) (cbrt.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)))))
10.0ms	(cbrt.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))))
10.0ms	(cbrt.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))))

series3.7s (25.2%)

Counts

4 → 12

Calls

4 calls:

1.9s	(.f64 (cbrt.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)))) (cbrt.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)))))
599.0ms	(cbrt.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))))
598.0ms	(cbrt.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))))
594.0ms	(cbrt.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))))

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4923	4096
1	4923	4096

prune402.0ms (2.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

Compiler

Compiled 6644 to 5187 computations (21.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 1/2 (cos.f64 re))) (.f64 (cbrt.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)))) (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 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
0.7b	(cbrt.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))))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

rewrite60.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_2380`
18×	`cbrt-div_binary64_2465`
9×	`flip3-+_binary64_2439` `flip-+_binary64_2410` `add-exp-log_binary64_2471` `pow1_binary64_2494`
6×	`pow1/3_binary64_2515` `add-sqr-sqrt_binary64_2457` `add-cube-cbrt_binary64_2468` `cbrt-prod_binary64_2464` `*-un-lft-identity_binary64_2436`
5×	`pow-prod-down_binary64_2504` `add-cbrt-cube_binary64_2469`
4×	`add-log-exp_binary64_2472` `associate-l_binary64_2379` `frac-times_binary64_2446`
3×	`prod-exp_binary64_2482` `cbrt-unprod_binary64_2466`
2×	`associate-*l/_binary64_2381`
1×	`-commutative_binary64_2369` `associate-r*_binary64_2378`

Counts

4 → 63

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (.f64 1/2 (cos.f64 re))) (.f64 (cbrt.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)))) (cbrt.f64 (+.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 (cos.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 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
9.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

series3.4s (22.9%)

Counts

4 → 12

Calls

4 calls:

2.0s	(.f64 (cbrt.f64 (.f64 1/2 (cos.f64 re))) (.f64 (cbrt.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)))) (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))
606.0ms	(cbrt.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))))
586.0ms	(cbrt.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))))
174.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4966	4171
1	4966	4171

prune386.0ms (2.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	75	12	87

Merged error: 0.0b

Counts

87 → 12

Compiler

Compiled 6261 to 4907 computations (21.6% saved)

regimes149.0ms (1%)

Compiler: Compiled 1952 to 1612 computations (17.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	30
1	51	30

end0.0ms (0%)

sample4.5s (30.8%)

Algorithm

1×

intervals

Results

2.1s	4883×	body	1024	valid
519.0ms	1922×	body	1024	invalid
388.0ms	1685×	body	512	valid
266.0ms	428×	body	2048	valid
168.0ms	974×	body	512	invalid
94.0ms	661×	body	256	valid
60.0ms	504×	body	256	invalid
50.0ms	695×	body	128	invalid
24.0ms	343×	body	128	valid

Compiler

Compiled 559 to 458 computations (18.1% saved)

Details

analyze357.0ms (2.4%)

sample131.0ms (0.9%)

simplify247.0ms (1.7%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite25.0ms (0.2%)

series183.0ms (1.2%)

simplify71.0ms (0.5%)

prune59.0ms (0.4%)

localize14.0ms (0.1%)

rewrite40.0ms (0.3%)

series468.0ms (3.2%)

simplify44.0ms (0.3%)

prune173.0ms (1.2%)

localize20.0ms (0.1%)

rewrite59.0ms (0.4%)

series3.7s (25.2%)

simplify75.0ms (0.5%)

prune402.0ms (2.7%)

localize24.0ms (0.2%)

rewrite60.0ms (0.4%)

series3.4s (22.9%)

simplify78.0ms (0.5%)

prune386.0ms (2.6%)

regimes149.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.5s (30.8%)

Profiling