Details

analyze360.0ms (7.1%)

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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample38.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms	182×	body	128	valid
10.0ms	39×	body	1024	valid
4.0ms	22×	body	512	valid
2.0ms	12×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify96.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	14
1	20	14

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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (cos.f64 y))
0.0b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
0.0b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
0.1b	(*.f64 z (cos.f64 y))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_4209`
6×	`add-sqr-sqrt_binary64_4192`
4×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `*-un-lft-identity_binary64_4170` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
3×	`associate-l_binary64_4111` `associate-r_binary64_4110` `sum-log_binary64_4261`
1×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `flip-+_binary64_4144` `+-commutative_binary64_4100` `flip3-+_binary64_4173` `*-commutative_binary64_4101` `pow-prod-down_binary64_4241` `associate-+l+_binary64_4103` `unswap-sqr_binary64_4138`

Counts

2 → 31

Calls

4 calls:

7.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))
0.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
0.0ms	(*.f64 z (cos.f64 y))

series253.0ms (5%)

Counts

2 → 25

Calls

2 calls:

185.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
67.0ms	(*.f64 z (cos.f64 y))

Compiler

Compiled 337 to 308 computations (8.6% saved)

simplify102.0ms (2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4935	674
1	4935	674

prune52.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	5	57

Error

0.0b

Counts

57 → 5

Compiler

Compiled 709 to 158 computations (77.7% saved)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.2b	(.f64 (.f64 z (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y)))
0.1b	(.f64 z (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y))))
0.0b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y))))
0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4201`
23×	`add-sqr-sqrt_binary64_4192`
15×	`*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
11×	`pow1_binary64_4231`
9×	`pow1/3_binary64_4252`
6×	`swap-sqr_binary64_4137` `associate-l_binary64_4111` `add-exp-log_binary64_4208` `associate-r_binary64_4110`
4×	`add-cbrt-cube_binary64_4206` `add-log-exp_binary64_4209` `unswap-sqr_binary64_4138`
2×	`pow-prod-up_binary64_4240` `pow-prod-down_binary64_4241` `pow-sqr_binary64_4143`
1×	`pow-plus_binary64_4233` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `pow2_binary64_4251` `*-commutative_binary64_4101`

Counts

4 → 73

Calls

8 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
0.0ms	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y))))

series268.0ms (5.3%)

Counts

4 → 15

Calls

4 calls:

74.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
73.0ms	(cbrt.f64 (cos.f64 y))
61.0ms	(cbrt.f64 (cos.f64 y))
60.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 524 to 392 computations (25.2% saved)

simplify91.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4815	730
1	4815	730

prune90.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	87	6	93

Error

Counts

93 → 6

Compiler

Compiled 1850 to 484 computations (73.8% saved)

localize15.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.1b	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
0.1b	(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
0.0b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y))))
0.1b	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
0.2b	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.2b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_4208`
22×	`add-sqr-sqrt_binary64_4192`
19×	`unpow-prod-down_binary64_4249`
18×	`associate-r_binary64_4110`
16×	`prod-exp_binary64_4219`
13×	`*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
11×	`add-cbrt-cube_binary64_4206`
9×	`pow-exp_binary64_4238`
7×	`pow1_binary64_4231` `cbrt-unprod_binary64_4203`
6×	`unswap-sqr_binary64_4138` `cbrt-prod_binary64_4201`
5×	`pow-to-exp_binary64_4239` `sqr-pow_binary64_4142`
4×	`associate-l_binary64_4111` `add-log-exp_binary64_4209`
3×	`pow-unpow_binary64_4247` `unpow2_binary64_4235`
2×	`unpow1/3_binary64_4237` `*-commutative_binary64_4101`
1×	`pow1/3_binary64_4252` `pow-pow_binary64_4242` `pow-prod-down_binary64_4241`

Counts

4 → 90

Calls

8 calls:

10.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
9.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))
0.0ms	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y))))

series400.0ms (7.9%)

Counts

4 → 20

Calls

4 calls:

239.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
72.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
68.0ms	(cbrt.f64 (cos.f64 y))
20.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 565 to 482 computations (14.7% saved)

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4901	1019
1	4901	1019

prune92.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	110	6	116

Error

Counts

116 → 6

Compiler

Compiled 2008 to 766 computations (61.9% saved)

localize14.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b	(pow.f64 (cos.f64 y) 2)
0.2b	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
0.1b	(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
0.0b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y))))
0.2b	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
0.2b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_4201`
11×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
10×	`pow1_binary64_4231` `add-exp-log_binary64_4208`
6×	`associate-r_binary64_4110` `add-cbrt-cube_binary64_4206` `unpow-prod-down_binary64_4249`
4×	`add-log-exp_binary64_4209`
3×	`pow-unpow_binary64_4247` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `pow-prod-down_binary64_4241`
2×	`pow1/3_binary64_4252` `unpow2_binary64_4235` `sqr-pow_binary64_4142`
1×	`pow-to-exp_binary64_4239` `associate-l_binary64_4111` `pow-exp_binary64_4238` `pow-pow_binary64_4242` `*-commutative_binary64_4101`

Counts

4 → 66

Calls

8 calls:

9.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
4.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1.0ms	(cbrt.f64 (cos.f64 y))
0.0ms	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y))))

series234.0ms (4.6%)

Counts

4 → 17

Calls

4 calls:

75.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
71.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
69.0ms	(cbrt.f64 (cos.f64 y))
19.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 452 to 388 computations (14.2% saved)

simplify75.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5017	675

prune61.0ms (1.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	83	6	89

Error

Counts

89 → 6

Compiler

Compiled 1395 to 493 computations (64.7% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	95	318
1	95	318

regimes131.0ms (2.6%)

Compiler: Compiled 832 to 718 computations (13.7% saved)

bsearch0.0ms (0%)

regimes101.0ms (2%)

Compiler: Compiled 105 to 159 computations (-51.4% saved)

bsearch60.0ms (1.2%)

Steps

Iters	Range		Point
8	2.0415454806911673e+107	5.85639731204356e+109	4.118018030230282e+109
11	-1.329884784241661e+77	-3.749880132738395e+45	-9.62357613532672e+76

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes76.0ms (1.5%)

Compiler: Compiled 84 to 138 computations (-64.3% saved)

bsearch62.0ms (1.2%)

Steps

Iters	Range		Point
8	2.0415454806911673e+107	5.85639731204356e+109	8.31862896526868e+107
11	-1.329884784241661e+77	-3.749880132738395e+45	-1.2814941463379462e+67

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes142.0ms (2.8%)

Compiler: Compiled 66 to 120 computations (-81.8% saved)

bsearch101.0ms (2%)

Steps

Iters	Range		Point
8	2.0415454806911673e+107	5.85639731204356e+109	1.229903405129335e+109
9	1.431671929074779e-19	1.0689991590965832e-14	1.873623504149235e-15
5	-4.83505440855508e-136	-2.0066081942653623e-136	-4.768470180631663e-136
11	-1.329884784241661e+77	-3.749880132738395e+45	-5.485349392695098e+75

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes93.0ms (1.8%)

Compiler: Compiled 54 to 105 computations (-94.4% saved)

bsearch46.0ms (0.9%)

Steps

Iters	Range		Point
9	36.90098947083456	15800174.580644859	37.486313585383726
9	-28636064382484.5	-513598.89363780635	-778898.0100712044

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes74.0ms (1.5%)

Compiler: Compiled 42 to 90 computations (-114.3% saved)

bsearch44.0ms (0.9%)

Steps

Iters	Range		Point
9	1.1186058318219161e-23	2.2544256231384656e-18	2.2245944804441787e-18
10	-4.24740696749997e+31	-2.359273030942881e+20	-1.2923377884600853e+26

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes32.0ms (0.6%)

Compiler: Compiled 27 to 75 computations (-177.8% saved)

bsearch0.0ms (0%)

regimes28.0ms (0.6%)

Compiler: Compiled 18 to 63 computations (-250% saved)

bsearch0.0ms (0%)

regimes26.0ms (0.5%)

Compiler: Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes23.0ms (0.5%)

Accuracy

Total 0.0b remaining (70.8%)

Threshold costs 0.0b (70.8%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch8.0ms (0.2%)

Compiler: Compiled 136 to 96 computations (29.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	190
1	69	190

end0.0ms (0%)

sample1.6s (31.4%)

Algorithm

1×

intervals

Results

353.0ms	1305×	body	1024	valid
351.0ms	5717×	body	128	valid
126.0ms	649×	body	512	valid
45.0ms	322×	body	256	valid
3.0ms	7×	body	2048	valid

Compiler

Compiled 340 to 282 computations (17.1% saved)

Pareto

0.6487869764007738

Details

analyze360.0ms (7.1%)

sample38.0ms (0.8%)

simplify96.0ms (1.9%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite13.0ms (0.3%)

series253.0ms (5%)

simplify102.0ms (2%)

prune52.0ms (1%)

localize12.0ms (0.2%)

rewrite17.0ms (0.3%)

series268.0ms (5.3%)

simplify91.0ms (1.8%)

prune90.0ms (1.8%)

localize15.0ms (0.3%)

rewrite31.0ms (0.6%)

series400.0ms (7.9%)

simplify61.0ms (1.2%)

prune92.0ms (1.8%)

localize14.0ms (0.3%)

rewrite21.0ms (0.4%)

series234.0ms (4.6%)

simplify75.0ms (1.5%)

prune61.0ms (1.2%)

simplify8.0ms (0.2%)

regimes131.0ms (2.6%)

bsearch0.0ms (0%)

regimes101.0ms (2%)

bsearch60.0ms (1.2%)

regimes76.0ms (1.5%)

bsearch62.0ms (1.2%)

regimes142.0ms (2.8%)

bsearch101.0ms (2%)

regimes93.0ms (1.8%)

bsearch46.0ms (0.9%)

regimes74.0ms (1.5%)

bsearch44.0ms (0.9%)

regimes32.0ms (0.6%)

bsearch0.0ms (0%)

regimes28.0ms (0.6%)

bsearch0.0ms (0%)

regimes26.0ms (0.5%)

bsearch0.0ms (0%)

regimes23.0ms (0.5%)

bsearch8.0ms (0.2%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.6s (31.4%)

Profiling