Details

analyze481.0ms (7.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	56
1	34	56
0	3	3
1	3	3

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)

sample56.0ms (0.9%)

Algorithm

1×

intervals

Results

24.0ms	68×	body	1024	valid
9.0ms	133×	body	128	valid
7.0ms	34×	body	512	valid
3.0ms	21×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify9.0ms (0.1%)

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 3 expressions with local error:

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

rewrite72.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`add-sqr-sqrt_binary64_8284`
7×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
6×	`associate-l_binary64_8203` `associate-r_binary64_8202`
5×	`add-log-exp_binary64_8301`
2×	`pow-prod-down_binary64_8333` `prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `unswap-sqr_binary64_8230` `*-commutative_binary64_8193`
1×	`sum-log_binary64_8353` `flip3-+_binary64_8265` `flip-+_binary64_8236` `+-commutative_binary64_8192`

Counts

3 → 47

Calls

3 calls:

6.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))
4.0ms	(*.f64 x (sin.f64 y))

Compiler

Compiled 730 to 175 computations (76% saved)

series450.0ms (7%)

Error

0.1b

Counts

3 → 34

Calls

3 calls:

261.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
81.0ms	(*.f64 x (sin.f64 y))
80.0ms	(*.f64 z (cos.f64 y))

Compiler

Compiled 836 to 533 computations (36.2% saved)

simplify113.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4874	905
1	4874	905

prune82.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	71	10	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	10	82

Error

0.1b

Counts

82 → 10

Compiler

Compiled 1141 to 318 computations (72.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.4b	(cbrt.f64 (cos.f64 y))
0.4b	(cbrt.f64 (cos.f64 y))
0.4b	(cbrt.f64 (cos.f64 y))

rewrite109.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_8293`
23×	`add-sqr-sqrt_binary64_8284`
15×	`add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
11×	`pow1_binary64_8323`
9×	`pow1/3_binary64_8344`
6×	`add-exp-log_binary64_8300` `swap-sqr_binary64_8229` `associate-l_binary64_8203` `associate-r_binary64_8202`
4×	`add-log-exp_binary64_8301` `add-cbrt-cube_binary64_8298` `unswap-sqr_binary64_8230`
2×	`pow-prod-down_binary64_8333` `pow-prod-up_binary64_8332` `pow-sqr_binary64_8235`
1×	`pow2_binary64_8343` `pow-plus_binary64_8325` `prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `*-commutative_binary64_8193`

Counts

4 → 73

Calls

4 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))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series351.0ms (5.5%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

119.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
76.0ms	(cbrt.f64 (cos.f64 y))
71.0ms	(cbrt.f64 (cos.f64 y))
69.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 840 to 522 computations (37.9% saved)

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4872	740
1	4872	740

prune109.0ms (1.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	87	12	99

Error

0.0b

Counts

99 → 12

Compiler

Compiled 2000 to 578 computations (71.1% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (sin.f64 y))
0.2b	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.4b	(cbrt.f64 (cos.f64 y))

rewrite124.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-exp-log_binary64_8300`
13×	`add-sqr-sqrt_binary64_8284`
12×	`prod-exp_binary64_8311`
11×	`add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
10×	`add-cbrt-cube_binary64_8298`
9×	`pow1_binary64_8323` `associate-r_binary64_8202`
6×	`cbrt-prod_binary64_8293` `cbrt-unprod_binary64_8295`
5×	`pow-exp_binary64_8330`
4×	`add-log-exp_binary64_8301` `associate-l_binary64_8203`
3×	`unpow-prod-down_binary64_8341` `pow-unpow_binary64_8339` `pow-to-exp_binary64_8331`
2×	`pow-prod-down_binary64_8333` `*-commutative_binary64_8193`
1×	`pow1/3_binary64_8344` `pow-pow_binary64_8334` `unpow2_binary64_8327` `sqr-pow_binary64_8234` `unpow1/3_binary64_8329` `unswap-sqr_binary64_8230`

Counts

4 → 72

Calls

4 calls:

13.0ms	(.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))
5.0ms	(pow.f64 (cos.f64 y) 2)
3.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1641 to 746 computations (54.5% saved)

series291.0ms (4.5%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

90.0ms	(*.f64 x (sin.f64 y))
85.0ms	(cbrt.f64 (cos.f64 y))
75.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
21.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 1073 to 752 computations (29.9% saved)

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4910	804
1	4910	804

prune119.0ms (1.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	96	12	108

Error

0.0b

Counts

108 → 12

Compiler

Compiled 1921 to 829 computations (56.8% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.4b	(cbrt.f64 (cos.f64 y))
0.4b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

rewrite114.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`cbrt-prod_binary64_8293`
11×	`add-cube-cbrt_binary64_8297` `add-sqr-sqrt_binary64_8284` `*-un-lft-identity_binary64_8262`
10×	`pow1_binary64_8323` `add-exp-log_binary64_8300`
6×	`add-cbrt-cube_binary64_8298` `unpow-prod-down_binary64_8341` `associate-r_binary64_8202`
4×	`add-log-exp_binary64_8301`
3×	`pow-unpow_binary64_8339` `pow-prod-down_binary64_8333` `prod-exp_binary64_8311` `cbrt-unprod_binary64_8295`
2×	`pow1/3_binary64_8344` `unpow2_binary64_8327` `sqr-pow_binary64_8234`
1×	`pow-pow_binary64_8334` `pow-to-exp_binary64_8331` `pow-exp_binary64_8330` `associate-l_binary64_8203` `*-commutative_binary64_8193`

Counts

4 → 66

Calls

4 calls:

9.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
3.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
3.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1449 to 639 computations (55.9% saved)

series294.0ms (4.6%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

101.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
88.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
64.0ms	(cbrt.f64 (cos.f64 y))
27.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 758 to 533 computations (29.7% saved)

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5088	692

prune98.0ms (1.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	85	12	97

Error

0.0b

Counts

97 → 12

Compiler

Compiled 1430 to 506 computations (64.6% saved)

regimes361.0ms (5.6%)

Accuracy

Total 0.1b remaining (71.8%)

Threshold costs 0.1b (71.8%)

Compiler

Compiled 3020 to 2098 computations (30.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample2.8s (44.2%)

Algorithm

1×

intervals

Results

754.0ms	2053×	body	1024	valid
402.0ms	4417×	body	128	valid
264.0ms	1048×	body	512	valid
82.0ms	478×	body	256	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 768 to 536 computations (30.2% saved)

Details

analyze481.0ms (7.5%)

sample56.0ms (0.9%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite72.0ms (1.1%)

series450.0ms (7%)

simplify113.0ms (1.8%)

prune82.0ms (1.3%)

localize12.0ms (0.2%)

rewrite109.0ms (1.7%)

series351.0ms (5.5%)

simplify91.0ms (1.4%)

prune109.0ms (1.7%)

localize23.0ms (0.4%)

rewrite124.0ms (1.9%)

series291.0ms (4.5%)

simplify92.0ms (1.4%)

prune119.0ms (1.9%)

localize21.0ms (0.3%)

rewrite114.0ms (1.8%)

series294.0ms (4.6%)

simplify88.0ms (1.4%)

prune98.0ms (1.5%)

regimes361.0ms (5.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.8s (44.2%)

Profiling