Details

analyze257.0ms (5.7%)

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
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)

sample51.0ms (1.1%)

Algorithm

1×

intervals

Results

18.0ms	65×	body	1024	valid
13.0ms	132×	body	128	valid
6.0ms	31×	body	512	valid
4.0ms	28×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify95.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune2.0ms (0.1%)

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

Merged 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))

rewrite20.0ms (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:

8.0ms	(*.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)))

series128.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

65.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
32.0ms	(*.f64 z (sin.f64 y))
31.0ms	(*.f64 x (cos.f64 y))

simplify81.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5082	619

prune54.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	47	9	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

Compiler

Compiled 877 to 250 computations (71.5% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite17.0ms (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 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))

series300.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
76.0ms	(cbrt.f64 (sin.f64 y))
70.0ms	(cbrt.f64 (sin.f64 y))
68.0ms	(cbrt.f64 (sin.f64 y))

simplify81.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4888	797
1	4888	797

prune89.0ms (2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	81	13	94

Merged error: 0.0b

Counts

94 → 13

Compiler

Compiled 2017 to 617 computations (69.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite14.0ms (0.3%)

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:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series362.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

108.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
90.0ms	(cbrt.f64 x)
86.0ms	(cbrt.f64 x)
77.0ms	(cbrt.f64 x)

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune82.0ms (1.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	84	14	98

Merged error: 0.0b

Counts

98 → 14

Compiler

Compiled 1838 to 566 computations (69.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))

rewrite18.0ms (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 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
3.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
2.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
2.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))

series441.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

129.0ms	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
107.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
105.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
100.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5314	719

prune58.0ms (1.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	70	14	84

Merged error: 0.0b

Counts

84 → 14

Compiler

Compiled 1653 to 327 computations (80.2% saved)

regimes231.0ms (5.2%)

Compiler: Compiled 2116 to 1462 computations (30.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample1.9s (43.3%)

Algorithm

1×

intervals

Results

575.0ms	2014×	body	1024	valid
326.0ms	4473×	body	128	valid
207.0ms	1035×	body	512	valid
67.0ms	474×	body	256	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 542 to 377 computations (30.4% saved)

Details

analyze257.0ms (5.7%)

sample51.0ms (1.1%)

simplify95.0ms (2.1%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite20.0ms (0.4%)

series128.0ms (2.9%)

simplify81.0ms (1.8%)

prune54.0ms (1.2%)

localize15.0ms (0.3%)

rewrite17.0ms (0.4%)

series300.0ms (6.7%)

simplify81.0ms (1.8%)

prune89.0ms (2%)

localize12.0ms (0.3%)

rewrite14.0ms (0.3%)

series362.0ms (8.1%)

simplify60.0ms (1.4%)

prune82.0ms (1.8%)

localize12.0ms (0.3%)

rewrite18.0ms (0.4%)

series441.0ms (9.8%)

simplify52.0ms (1.2%)

prune58.0ms (1.3%)

regimes231.0ms (5.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (43.3%)

Profiling