Details

analyze666.0ms (9.6%)

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)

sample70.0ms (1%)

Algorithm

1×

intervals

Results

23.0ms	47×	body	1024	valid
20.0ms	174×	body	128	valid
11.0ms	27×	body	512	valid
2.0ms	8×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify151.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	20	14
1	20	14

prune5.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(*.f64 z (cos.f64 y))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_3510`
3×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `associate-l_binary64_3429` `associate-r_binary64_3428` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488` `pow1_binary64_3549`
1×	`unswap-sqr_binary64_3456` `cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `add-log-exp_binary64_3527` `*-commutative_binary64_3419` `prod-exp_binary64_3537`

Counts

1 → 18

Calls

1 calls:

18.0ms

(*.f64 z (cos.f64 y))

series52.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

52.0ms

(*.f64 z (cos.f64 y))

simplify116.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4971	169
1	4971	169

prune40.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 0.0b

Counts

22 → 5

Compiler

Compiled 326 to 108 computations (66.9% saved)

localize24.0ms (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))

rewrite38.0ms (0.5%)

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:

13.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
3.0ms	(cbrt.f64 (cos.f64 y))
3.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

series560.0ms (8%)

Counts

4 → 12

Calls

4 calls:

191.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
134.0ms	(cbrt.f64 (cos.f64 y))
125.0ms	(cbrt.f64 (cos.f64 y))
111.0ms	(cbrt.f64 (cos.f64 y))

simplify148.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4921	772
1	4921	772

prune134.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

Compiler

Compiled 1817 to 478 computations (73.7% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite35.0ms (0.5%)

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:

12.0ms	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))
5.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
5.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
5.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))

series817.0ms (11.7%)

Counts

4 → 12

Calls

4 calls:

264.0ms	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))
192.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
191.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
170.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))

simplify100.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5314	719

prune128.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	70	5	75

Merged error: 0.0b

Counts

75 → 5

Compiler

Compiled 1725 to 376 computations (78.2% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
0.6b	(cbrt.f64 z)

rewrite40.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_3526` `pow1_binary64_3549`
8×	`cbrt-prod_binary64_3519`
7×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
6×	`associate-l_binary64_3429` `pow1/3_binary64_3570`
5×	`add-cbrt-cube_binary64_3524` `pow-prod-down_binary64_3559`
4×	`add-log-exp_binary64_3527`
3×	`cbrt-unprod_binary64_3521` `prod-exp_binary64_3537`
1×	`associate-r_binary64_3428` `*-commutative_binary64_3419`

Counts

4 → 51

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
8.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
5.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
3.0ms	(cbrt.f64 z)

series755.0ms (10.8%)

Counts

4 → 12

Calls

4 calls:

260.0ms	(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
180.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
173.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
142.0ms	(cbrt.f64 z)

simplify154.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4905	681
1	4905	681

prune107.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	63	5	68

Merged error: 0b

Counts

68 → 5

Compiler

Compiled 1582 to 351 computations (77.8% saved)

regimes195.0ms (2.8%)

Compiler: Compiled 980 to 682 computations (30.4% 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%)

sample2.5s (36.4%)

Algorithm

1×

intervals

Results

695.0ms	1353×	body	1024	valid
652.0ms	5675×	body	128	valid
240.0ms	624×	body	512	valid
82.0ms	345×	body	256	valid
3.0ms	3×	body	2048	valid

Compiler

Compiled 258 to 182 computations (29.5% saved)

Details

analyze666.0ms (9.6%)

sample70.0ms (1%)

simplify151.0ms (2.2%)

prune5.0ms (0.1%)

localize16.0ms (0.2%)

rewrite20.0ms (0.3%)

series52.0ms (0.7%)

simplify116.0ms (1.7%)

prune40.0ms (0.6%)

localize24.0ms (0.3%)

rewrite38.0ms (0.5%)

series560.0ms (8%)

simplify148.0ms (2.1%)

prune134.0ms (1.9%)

localize27.0ms (0.4%)

rewrite35.0ms (0.5%)

series817.0ms (11.7%)

simplify100.0ms (1.4%)

prune128.0ms (1.8%)

localize31.0ms (0.4%)

rewrite40.0ms (0.6%)

series755.0ms (10.8%)

simplify154.0ms (2.2%)

prune107.0ms (1.5%)

regimes195.0ms (2.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.5s (36.4%)

Profiling