Details

analyze343.0ms (7.9%)

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample41.0ms (1%)

Algorithm

1×

intervals

Results

15.0ms	58×	body	1024	valid
10.0ms	148×	body	128	valid
5.0ms	28×	body	512	valid
3.0ms	22×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune6.0ms (0.1%)

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 (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_3510`
7×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488` `pow1_binary64_3549`
6×	`associate-l_binary64_3429` `associate-r_binary64_3428`
5×	`add-log-exp_binary64_3527`
2×	`unswap-sqr_binary64_3456` `cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `*-commutative_binary64_3419` `prod-exp_binary64_3537`
1×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `+-commutative_binary64_3418` `sum-log_binary64_3579`

Counts

3 → 47

Calls

3 calls:

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

series124.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

66.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
29.0ms	(*.f64 z (sin.f64 y))
29.0ms	(*.f64 x (cos.f64 y))

simplify87.0ms (2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5082	619

prune57.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	44	12	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	12	57

Error

0.0b

Counts

57 → 12

Compiler

Compiled 969 to 291 computations (70% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3519`
23×	`add-sqr-sqrt_binary64_3510`
15×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`pow1_binary64_3549`
9×	`pow1/3_binary64_3570`
6×	`swap-sqr_binary64_3455` `add-exp-log_binary64_3526` `associate-l_binary64_3429` `associate-r_binary64_3428`
4×	`unswap-sqr_binary64_3456` `add-cbrt-cube_binary64_3524` `add-log-exp_binary64_3527`
2×	`pow-prod-up_binary64_3558` `pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
1×	`cbrt-unprod_binary64_3521` `pow2_binary64_3569` `pow-plus_binary64_3551` `*-commutative_binary64_3419` `prod-exp_binary64_3537`

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))

series305.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
72.0ms	(cbrt.f64 (cos.f64 y))
67.0ms	(cbrt.f64 (cos.f64 y))
66.0ms	(cbrt.f64 (cos.f64 y))

simplify86.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4921	772
1	4921	772

prune84.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	86	11	97

Error

0.0b

Counts

97 → 11

Compiler

Compiled 1948 to 559 computations (71.3% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
0.2b	(.f64 (.f64 x (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))

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_3526`
22×	`add-sqr-sqrt_binary64_3510`
19×	`unpow-prod-down_binary64_3567`
18×	`associate-r_binary64_3428`
16×	`prod-exp_binary64_3537`
13×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`add-cbrt-cube_binary64_3524`
9×	`pow-exp_binary64_3556`
7×	`cbrt-unprod_binary64_3521` `pow1_binary64_3549`
6×	`unswap-sqr_binary64_3456` `cbrt-prod_binary64_3519`
5×	`pow-to-exp_binary64_3557` `sqr-pow_binary64_3460`
4×	`associate-l_binary64_3429` `add-log-exp_binary64_3527`
3×	`unpow2_binary64_3553` `pow-unpow_binary64_3565`
2×	`unpow1/3_binary64_3555` `*-commutative_binary64_3419`
1×	`pow-prod-down_binary64_3559` `pow1/3_binary64_3570` `pow-pow_binary64_3560`

Counts

4 → 90

Calls

4 calls:

10.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
9.0ms	(*.f64 x (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))

series204.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
71.0ms	(cbrt.f64 (cos.f64 y))
30.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
13.0ms	(pow.f64 (cos.f64 y) 2)

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5027	984

prune99.0ms (2.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	102	11	113

Error

0.0b

Counts

113 → 11

Compiler

Compiled 2038 to 817 computations (59.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
6.9b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.9b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.9b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_3549`
10×	`add-sqr-sqrt_binary64_3510`
9×	`pow1/3_binary64_3570`
8×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
7×	`cbrt-prod_binary64_3519`
6×	`add-exp-log_binary64_3526`
4×	`swap-sqr_binary64_3455` `add-cbrt-cube_binary64_3524` `associate-l_binary64_3429` `associate-r_binary64_3428` `add-log-exp_binary64_3527`
2×	`pow-prod-up_binary64_3558` `pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
1×	`unswap-sqr_binary64_3456` `cbrt-unprod_binary64_3521` `pow2_binary64_3569` `pow-plus_binary64_3551` `*-commutative_binary64_3419` `prod-exp_binary64_3537`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

series435.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
102.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
101.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
98.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify133.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	5256	678

prune58.0ms (1.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	69	12	81

Error

0.0b

Counts

81 → 12

Compiler

Compiled 1631 to 319 computations (80.4% saved)

regimes206.0ms (4.8%)

Accuracy

Total 0.1b remaining (72.3%)

Threshold costs 0.1b (72.3%)

Compiler

Compiled 2020 to 1342 computations (33.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample1.8s (42.7%)

Algorithm

1×

intervals

Results

559.0ms	2043×	body	1024	valid
318.0ms	4472×	body	128	valid
188.0ms	1009×	body	512	valid
67.0ms	472×	body	256	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 518 to 347 computations (33% saved)

Details

analyze343.0ms (7.9%)

sample41.0ms (1%)

simplify8.0ms (0.2%)

prune6.0ms (0.1%)

localize8.0ms (0.2%)

rewrite15.0ms (0.4%)

series124.0ms (2.9%)

simplify87.0ms (2%)

prune57.0ms (1.3%)

localize12.0ms (0.3%)

rewrite16.0ms (0.4%)

series305.0ms (7.1%)

simplify86.0ms (2%)

prune84.0ms (1.9%)

localize14.0ms (0.3%)

rewrite33.0ms (0.8%)

series204.0ms (4.7%)

simplify64.0ms (1.5%)

prune99.0ms (2.3%)

localize14.0ms (0.3%)

rewrite19.0ms (0.4%)

series435.0ms (10.1%)

simplify133.0ms (3.1%)

prune58.0ms (1.4%)

regimes206.0ms (4.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (42.7%)

Profiling