Details

analyze656.0ms (8.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	58×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify144.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

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

Error

2.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.9b	(*.f64 (-.f64 y x) (/.f64 z t))
0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.9b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_16468`
13×	`associate-r_binary64_16386`
12×	`*-un-lft-identity_binary64_16446`
10×	`times-frac_binary64_16452` `add-cube-cbrt_binary64_16481`
7×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
5×	`associate-l_binary64_16387`
4×	`pow1_binary64_16507` `add-log-exp_binary64_16485`
2×	`unswap-sqr_binary64_16414` `cbrt-unprod_binary64_16479` `prod-exp_binary64_16495` `associate-*l/_binary64_16389` `flip3--_binary64_16450` `flip--_binary64_16421` `frac-times_binary64_16456`
1×	`associate-r/_binary64_16388` `+-commutative_binary64_16376` `cbrt-undiv_binary64_16480` `pow-prod-down_binary64_16517` `-commutative_binary64_16377` `div-inv_binary64_16443` `distribute-lft-out--_binary64_16398` `flip3-+_binary64_16449` `sum-log_binary64_16537` `flip-+_binary64_16420` `div-exp_binary64_16497` `difference-of-squares_binary64_16415`

Counts

2 → 49

Calls

4 calls:

11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
0.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
0.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series490.0ms (6%)

Counts

2 → 42

Calls

2 calls:

282.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
207.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

Compiler

Compiled 706 to 593 computations (16% saved)

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5762	1171

prune96.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	83	8	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	9	92

Error

0.0b

Counts

92 → 9

Compiler

Compiled 1211 to 284 computations (76.5% saved)

localize20.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.4b	(/.f64 (cbrt.f64 z) (cbrt.f64 t))
0.4b	(/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))
0.4b	(.f64 (.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (/.f64 (cbrt.f64 z) (cbrt.f64 t)))
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (/.f64 (cbrt.f64 z) (cbrt.f64 t))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
1.5b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_16484`
14×	`add-cbrt-cube_binary64_16482` `add-sqr-sqrt_binary64_16468`
11×	`*-un-lft-identity_binary64_16446`
9×	`add-cube-cbrt_binary64_16481` `cbrt-prod_binary64_16477` `cbrt-unprod_binary64_16479` `prod-exp_binary64_16495`
6×	`pow1_binary64_16507`
5×	`associate-r_binary64_16386` `associate-l_binary64_16387`
4×	`cbrt-undiv_binary64_16480` `add-log-exp_binary64_16485` `div-exp_binary64_16497`
3×	`pow1/3_binary64_16528`
2×	`times-frac_binary64_16452` `unswap-sqr_binary64_16414` `associate-*l/_binary64_16389` `flip3--_binary64_16450` `flip--_binary64_16421` `frac-times_binary64_16456`
1×	`associate-r/_binary64_16388` `pow-prod-down_binary64_16517` `-commutative_binary64_16377` `div-inv_binary64_16443` `distribute-lft-out--_binary64_16398` `difference-of-squares_binary64_16415`

Counts

4 → 69

Calls

8 calls:

16.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
0.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (/.f64 (cbrt.f64 z) (cbrt.f64 t))))

series1.0s (12.5%)

Counts

4 → 27

Calls

4 calls:

792.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
79.0ms	(cbrt.f64 z)
74.0ms	(cbrt.f64 z)
73.0ms	(cbrt.f64 z)

Compiler

Compiled 1290 to 1038 computations (19.5% saved)

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4973	1329
1	4973	1329

prune105.0ms (1.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	94	11	105

Error

Counts

105 → 11

Compiler

Compiled 2586 to 588 computations (77.3% saved)

localize24.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.4b	(/.f64 (.f64 (cbrt.f64 z) (.f64 (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z)))) (.f64 (cbrt.f64 t) (cbrt.f64 t)))
0.4b	(.f64 (.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (.f64 (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z)))) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (/.f64 (cbrt.f64 z) (cbrt.f64 t)))
0.3b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z)))
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (.f64 (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z)))) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (/.f64 (cbrt.f64 z) (cbrt.f64 t))))
0.7b	(cbrt.f64 (cbrt.f64 z))
0.7b	(cbrt.f64 (cbrt.f64 z))
0.7b	(cbrt.f64 (cbrt.f64 z))
1.5b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (.f64 (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z)))) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite45.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-exp-log_binary64_16484`
27×	`cbrt-prod_binary64_16477`
25×	`cbrt-unprod_binary64_16479` `prod-exp_binary64_16495`
24×	`add-cbrt-cube_binary64_16482`
16×	`add-sqr-sqrt_binary64_16468`
14×	`*-un-lft-identity_binary64_16446`
12×	`add-cube-cbrt_binary64_16481`
8×	`cbrt-undiv_binary64_16480` `div-exp_binary64_16497`
6×	`pow1_binary64_16507`
5×	`associate-r_binary64_16386` `associate-l_binary64_16387`
4×	`add-log-exp_binary64_16485`
3×	`pow1/3_binary64_16528`
2×	`associate-*l/_binary64_16389` `flip3--_binary64_16450` `flip--_binary64_16421` `frac-times_binary64_16456`
1×	`associate-r/_binary64_16388` `times-frac_binary64_16452` `unswap-sqr_binary64_16414` `pow-prod-down_binary64_16517` `-commutative_binary64_16377` `div-inv_binary64_16443` `distribute-lft-out--_binary64_16398` `difference-of-squares_binary64_16415`

Counts

4 → 85

Calls

8 calls:

29.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (.f64 (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z)))) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))
0.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (.f64 (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z)))) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (/.f64 (cbrt.f64 z) (cbrt.f64 t))))

series1.1s (13.1%)

Counts

4 → 27

Calls

4 calls:

781.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (.f64 (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z)))) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
98.0ms	(cbrt.f64 (cbrt.f64 z))
95.0ms	(cbrt.f64 (cbrt.f64 z))
92.0ms	(cbrt.f64 (cbrt.f64 z))

Compiler

Compiled 1446 to 1104 computations (23.7% saved)

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5287	1703

prune122.0ms (1.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	112	11	123

Error

Counts

123 → 11

Compiler

Compiled 3514 to 768 computations (78.1% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.3b	(/.f64 (cbrt.f64 z) t)
0.2b	(.f64 (-.f64 y x) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
6.3b	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64_16484`
22×	`associate-r_binary64_16386`
20×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446` `add-sqr-sqrt_binary64_16468`
18×	`times-frac_binary64_16452` `cbrt-prod_binary64_16477` `add-cbrt-cube_binary64_16482`
13×	`pow1_binary64_16507`
12×	`cbrt-unprod_binary64_16479` `prod-exp_binary64_16495`
6×	`pow-prod-down_binary64_16517` `associate-*l/_binary64_16389`
4×	`add-log-exp_binary64_16485`
3×	`cbrt-undiv_binary64_16480` `pow1/3_binary64_16528` `div-exp_binary64_16497`
2×	`flip3--_binary64_16450` `flip--_binary64_16421` `frac-times_binary64_16456`
1×	`associate-r/_binary64_16388` `-commutative_binary64_16377` `div-inv_binary64_16443` `associate-l_binary64_16387`

Counts

4 → 84

Calls

8 calls:

20.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
0.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t)))

series659.0ms (8.1%)

Counts

4 → 27

Calls

4 calls:

288.0ms	(cbrt.f64 z)
225.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))
73.0ms	(cbrt.f64 z)
72.0ms	(cbrt.f64 z)

Compiler

Compiled 674 to 550 computations (18.4% saved)

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5025	1244

prune77.0ms (0.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	111	11	122

Error

Counts

122 → 11

Compiler

Compiled 1828 to 471 computations (74.2% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	262	815
1	262	815

regimes358.0ms (4.4%)

Compiler: Compiled 3428 to 2443 computations (28.7% saved)

bsearch0.0ms (0%)

regimes384.0ms (4.7%)

Compiler: Compiled 2606 to 1981 computations (24% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

regimes155.0ms (1.9%)

Compiler: Compiled 395 to 533 computations (-34.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

regimes92.0ms (1.1%)

Compiler: Compiled 266 to 382 computations (-43.6% saved)

bsearch0.0ms (0%)

regimes155.0ms (1.9%)

Compiler: Compiled 164 to 272 computations (-65.9% saved)

bsearch21.0ms (0.3%)

Steps

Iters	Range		Point
7	9.85358770087219e-08	2.522545519508053e-06	2.4877559077139454e-06
6	-6.18746831182017e+16	-12295932316802258.0	-12461456824397808.0

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes170.0ms (2.1%)

Compiler: Compiled 129 to 237 computations (-83.7% saved)

bsearch26.0ms (0.3%)

Steps

Iters	Range		Point
9	8.50083614946505e-39	1.5554549969693844e-33	1.5179613331006957e-37
7	-2.0813002301258383e-39	-4.612713725494927e-41	-6.259877436126282e-40

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes185.0ms (2.3%)

Compiler: Compiled 94 to 202 computations (-114.9% saved)

bsearch26.0ms (0.3%)

Steps

Iters	Range		Point
9	8.50083614946505e-39	1.5554549969693844e-33	6.108925997071627e-34
7	-2.0813002301258383e-39	-4.612713725494927e-41	-3.102881876237006e-40

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes157.0ms (1.9%)

Compiler: Compiled 59 to 167 computations (-183.1% saved)

bsearch25.0ms (0.3%)

Steps

Iters	Range		Point
9	8.50083614946505e-39	1.5554549969693844e-33	1.321026748004904e-35
7	-2.0813002301258383e-39	-4.612713725494927e-41	-2.714597133531598e-40

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes40.0ms (0.5%)

Compiler: Compiled 24 to 108 computations (-350% saved)

bsearch0.0ms (0%)

regimes36.0ms (0.4%)

Compiler: Compiled 20 to 92 computations (-360% saved)

bsearch0.0ms (0%)

regimes32.0ms (0.4%)

Accuracy

Total 1.3b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 16 to 72 computations (-350% saved)

bsearch9.0ms (0.1%)

Compiler: Compiled 213 to 121 computations (43.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	117	283
1	117	283

end0.0ms (0%)

sample1.3s (16.2%)

Algorithm

1×

intervals

Results

267.0ms	8000×	body	128	valid
68.0ms	2027×	body	128	invalid

Compiler

Compiled 773 to 520 computations (32.7% saved)

Pareto

0.9742968745560767

Details

analyze656.0ms (8.1%)

sample25.0ms (0.3%)

simplify144.0ms (1.8%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite19.0ms (0.2%)

series490.0ms (6%)

simplify75.0ms (0.9%)

prune96.0ms (1.2%)

localize20.0ms (0.2%)

rewrite27.0ms (0.3%)

series1.0s (12.5%)

simplify61.0ms (0.8%)

prune105.0ms (1.3%)

localize24.0ms (0.3%)

rewrite45.0ms (0.6%)

series1.1s (13.1%)

simplify53.0ms (0.7%)

prune122.0ms (1.5%)

localize11.0ms (0.1%)

rewrite31.0ms (0.4%)

series659.0ms (8.1%)

simplify82.0ms (1%)

prune77.0ms (0.9%)

simplify14.0ms (0.2%)

regimes358.0ms (4.4%)

bsearch0.0ms (0%)

regimes384.0ms (4.7%)

bsearch1.0ms (0%)

regimes155.0ms (1.9%)

bsearch1.0ms (0%)

regimes92.0ms (1.1%)

bsearch0.0ms (0%)

regimes155.0ms (1.9%)

bsearch21.0ms (0.3%)

regimes170.0ms (2.1%)

bsearch26.0ms (0.3%)

regimes185.0ms (2.3%)

bsearch26.0ms (0.3%)

regimes157.0ms (1.9%)

bsearch25.0ms (0.3%)

regimes40.0ms (0.5%)

bsearch0.0ms (0%)

regimes36.0ms (0.4%)

bsearch0.0ms (0%)

regimes32.0ms (0.4%)

bsearch9.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.3s (16.2%)

Profiling