Details

analyze277.0ms (5.1%)

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
25%	74.9%	0.1%	6
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample45.0ms (0.8%)

Algorithm

1×

intervals

Results

17.0ms	66×	body	1024	valid
10.0ms	148×	body	128	valid
6.0ms	32×	body	512	valid
1.0ms	9×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify97.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	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

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.1b	(*.f64 x (sin.f64 y))
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))
0.1b	(*.f64 x (sin.f64 y))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_3851`
7×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `*-un-lft-identity_binary64_3829`
6×	`associate-r_binary64_3769` `associate-l_binary64_3770`
5×	`add-log-exp_binary64_3868`
2×	`pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `prod-exp_binary64_3878` `*-commutative_binary64_3760` `cbrt-unprod_binary64_3862`
1×	`flip3-+_binary64_3832` `sum-log_binary64_3920` `flip-+_binary64_3803` `+-commutative_binary64_3759`

Counts

3 → 47

Calls

6 calls:

6.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
5.0ms	(*.f64 x (sin.f64 y))
5.0ms	(*.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))

series342.0ms (6.3%)

Counts

3 → 32

Calls

3 calls:

209.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
66.0ms	(*.f64 x (sin.f64 y))
66.0ms	(*.f64 z (cos.f64 y))

Compiler

Compiled 478 to 429 computations (10.3% saved)

simplify94.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5105	852

prune97.0ms (1.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	67	12	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	12	80

Error

0.0b

Counts

80 → 12

Compiler

Compiled 1151 to 314 computations (72.7% saved)

localize14.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-r_binary64_3769` `associate-l_binary64_3770`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `add-cbrt-cube_binary64_3865`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`prod-exp_binary64_3878` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910`

Counts

4 → 73

Calls

8 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(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))))

series281.0ms (5.2%)

Counts

4 → 16

Calls

4 calls:

97.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
65.0ms	(cbrt.f64 (cos.f64 y))
60.0ms	(cbrt.f64 (cos.f64 y))
59.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 548 to 413 computations (24.6% saved)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4872	740
1	4872	740

prune101.0ms (1.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	89	12	101

Error

0.0b

Counts

101 → 12

Compiler

Compiled 2010 to 568 computations (71.7% saved)

localize18.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 x (sin.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 x (sin.f64 y))
0.1b	(.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))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_3867`
13×	`add-sqr-sqrt_binary64_3851`
12×	`prod-exp_binary64_3878`
11×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
10×	`add-cbrt-cube_binary64_3865`
9×	`pow1_binary64_3890` `associate-r_binary64_3769`
6×	`cbrt-prod_binary64_3860` `cbrt-unprod_binary64_3862`
5×	`pow-exp_binary64_3897`
4×	`add-log-exp_binary64_3868` `associate-l_binary64_3770`
3×	`unpow-prod-down_binary64_3908` `pow-unpow_binary64_3906` `pow-to-exp_binary64_3898`
2×	`pow-prod-down_binary64_3900` `*-commutative_binary64_3760`
1×	`unswap-sqr_binary64_3797` `unpow2_binary64_3894` `pow-pow_binary64_3901` `unpow1/3_binary64_3896` `sqr-pow_binary64_3801` `pow1/3_binary64_3911`

Counts

4 → 72

Calls

8 calls:

11.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
5.0ms	(*.f64 x (sin.f64 y))
3.0ms	(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))))

series220.0ms (4.1%)

Counts

4 → 22

Calls

4 calls:

70.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
68.0ms	(*.f64 x (sin.f64 y))
61.0ms	(cbrt.f64 (cos.f64 y))
21.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 633 to 536 computations (15.3% saved)

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4976	751
1	4976	751

prune92.0ms (1.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	94	12	106

Error

0.0b

Counts

106 → 12

Compiler

Compiled 1841 to 761 computations (58.7% saved)

localize14.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (sin.f64 y) (cbrt.f64 x)))
0.2b	(*.f64 (sin.f64 y) (cbrt.f64 x))
0.1b	(*.f64 z (cos.f64 y))
0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (sin.f64 y) (cbrt.f64 x))) (.f64 z (cos.f64 y)))
0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-r_binary64_3769` `associate-l_binary64_3770`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `add-cbrt-cube_binary64_3865`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`prod-exp_binary64_3878` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910`

Counts

4 → 73

Calls

8 calls:

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

series304.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
71.0ms	(cbrt.f64 x)
71.0ms	(cbrt.f64 x)
71.0ms	(cbrt.f64 x)

Compiler

Compiled 442 to 358 computations (19% saved)

simplify76.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune72.0ms (1.3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	84	13	97

Error

0.0b

Counts

97 → 13

Compiler

Compiled 1573 to 371 computations (76.4% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	241	886
1	241	886

regimes256.0ms (4.7%)

Compiler: Compiled 2236 to 1594 computations (28.7% saved)

bsearch0.0ms (0%)

regimes117.0ms (2.1%)

Compiler: Compiled 132 to 174 computations (-31.8% saved)

bsearch59.0ms (1.1%)

Steps

Iters	Range		Point
9	1.3912242526407912e+111	1.5379382820796954e+116	1.9371862556234732e+113
7	-218620723074.98877	-12917940695.295689	-25934546194.779972

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes109.0ms (2%)

Compiler: Compiled 90 to 135 computations (-50% saved)

bsearch62.0ms (1.1%)

Steps

Iters	Range		Point
8	9.761262813475966e-150	5.067630929148735e-146	5.878550368919599e-147
3	-2.1900723531175274e-239	-1.6359208114423576e-239	-2.1377071873663266e-239
7	-218620723074.98877	-12917940695.295689	-13055071917.42417

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes108.0ms (2%)

Compiler: Compiled 78 to 120 computations (-53.8% saved)

bsearch46.0ms (0.9%)

Steps

Iters	Range		Point
8	5.4100461032050636e+20	4.060359089501265e+23	5.4648702024981715e+20
10	-1.3309388321197191e-07	-2.340764515927041e-22	-1.3024106302462862e-07

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes36.0ms (0.7%)

Compiler: Compiled 66 to 105 computations (-59.1% saved)

bsearch0.0ms (0%)

regimes28.0ms (0.5%)

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%)

regimes29.0ms (0.5%)

Accuracy

Total 0.1b remaining (78.1%)

Threshold costs 0.1b (78.1%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch6.0ms (0.1%)

Compiler: Compiled 95 to 73 computations (23.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	132
1	60	132

end0.0ms (0%)

sample2.1s (39.5%)

Algorithm

1×

intervals

Results

587.0ms	2049×	body	1024	valid
306.0ms	4461×	body	128	valid
200.0ms	1020×	body	512	valid
67.0ms	463×	body	256	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 652 to 477 computations (26.8% saved)

Pareto

0.43793049828322256

Details

analyze277.0ms (5.1%)

sample45.0ms (0.8%)

simplify97.0ms (1.8%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite20.0ms (0.4%)

series342.0ms (6.3%)

simplify94.0ms (1.7%)

prune97.0ms (1.8%)

localize14.0ms (0.3%)

rewrite18.0ms (0.3%)

series281.0ms (5.2%)

simplify78.0ms (1.4%)

prune101.0ms (1.9%)

localize18.0ms (0.3%)

rewrite26.0ms (0.5%)

series220.0ms (4.1%)

simplify68.0ms (1.3%)

prune92.0ms (1.7%)

localize14.0ms (0.3%)

rewrite18.0ms (0.3%)

series304.0ms (5.6%)

simplify76.0ms (1.4%)

prune72.0ms (1.3%)

simplify16.0ms (0.3%)

regimes256.0ms (4.7%)

bsearch0.0ms (0%)

regimes117.0ms (2.1%)

bsearch59.0ms (1.1%)

regimes109.0ms (2%)

bsearch62.0ms (1.1%)

regimes108.0ms (2%)

bsearch46.0ms (0.9%)

regimes36.0ms (0.7%)

bsearch0.0ms (0%)

regimes28.0ms (0.5%)

bsearch0.0ms (0%)

regimes26.0ms (0.5%)

bsearch0.0ms (0%)

regimes29.0ms (0.5%)

bsearch6.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.1s (39.5%)

Profiling