Details

analyze290.0ms (6.4%)

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
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample42.0ms (0.9%)

Algorithm

1×

intervals

Results

15.0ms	43×	body	1024	valid
12.0ms	184×	body	128	valid
4.0ms	19×	body	512	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify183.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	208	14
1	208	14

prune3.0ms (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)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_6516`
7×	`*-un-lft-identity_binary64_6480` `add-sqr-sqrt_binary64_6501`
5×	`add-exp-log_binary64_6515` `pow1_binary64_6538` `add-cube-cbrt_binary64_6512` `add-cbrt-cube_binary64_6513`
3×	`associate-r_binary64_6422` `associate-l_binary64_6423`
2×	`sum-log_binary64_6568` `diff-log_binary64_6569`
1×	`flip3-+_binary64_6483` `unswap-sqr_binary64_6448` `prod-exp_binary64_6526` `associate--l+_binary64_6419` `pow-prod-down_binary64_6548` `flip--_binary64_6455` `cbrt-unprod_binary64_6510` `flip3--_binary64_6484` `distribute-lft-out_binary64_6433` `+-commutative_binary64_6412` `flip-+_binary64_6454` `sub-neg_binary64_6473` `*-commutative_binary64_6413`

Counts

3 → 43

Calls

3 calls:

8.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
5.0ms	(*.f64 z (sin.f64 y))
4.0ms	(+.f64 x (cos.f64 y))

series197.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

93.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
60.0ms	(*.f64 z (sin.f64 y))
44.0ms	(+.f64 x (cos.f64 y))

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5114	652

prune48.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

Compiler

Compiled 780 to 208 computations (73.3% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6508`
23×	`add-sqr-sqrt_binary64_6501`
15×	`*-un-lft-identity_binary64_6480` `add-cube-cbrt_binary64_6512`
11×	`pow1_binary64_6538`
9×	`pow1/3_binary64_6559`
6×	`add-exp-log_binary64_6515` `associate-r_binary64_6422` `swap-sqr_binary64_6447` `associate-l_binary64_6423`
4×	`unswap-sqr_binary64_6448` `add-log-exp_binary64_6516` `add-cbrt-cube_binary64_6513`
2×	`pow-prod-up_binary64_6547` `pow-prod-down_binary64_6548` `pow-sqr_binary64_6453`
1×	`prod-exp_binary64_6526` `pow-plus_binary64_6540` `cbrt-unprod_binary64_6510` `pow2_binary64_6558` `*-commutative_binary64_6413`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series639.0ms (14%)

Counts

4 → 12

Calls

4 calls:

187.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
152.0ms	(cbrt.f64 z)
150.0ms	(cbrt.f64 z)
149.0ms	(cbrt.f64 z)

simplify84.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune75.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

Compiler

Compiled 1641 to 436 computations (73.4% saved)

localize14.0ms (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))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6508`
23×	`add-sqr-sqrt_binary64_6501`
15×	`*-un-lft-identity_binary64_6480` `add-cube-cbrt_binary64_6512`
11×	`pow1_binary64_6538`
9×	`pow1/3_binary64_6559`
6×	`add-exp-log_binary64_6515` `associate-r_binary64_6422` `swap-sqr_binary64_6447` `associate-l_binary64_6423`
4×	`unswap-sqr_binary64_6448` `add-log-exp_binary64_6516` `add-cbrt-cube_binary64_6513`
2×	`pow-prod-up_binary64_6547` `pow-prod-down_binary64_6548` `pow-sqr_binary64_6453`
1×	`prod-exp_binary64_6526` `pow-plus_binary64_6540` `cbrt-unprod_binary64_6510` `pow2_binary64_6558` `*-commutative_binary64_6413`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))

series564.0ms (12.4%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
145.0ms	(cbrt.f64 (sin.f64 y))
131.0ms	(cbrt.f64 (sin.f64 y))
115.0ms	(cbrt.f64 (sin.f64 y))

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5041	797

prune82.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0b

Counts

91 → 7

Compiler

Compiled 1841 to 508 computations (72.4% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (sin.f64 y) 2)
0.3b	(.f64 (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
13.9b	(cbrt.f64 (pow.f64 (sin.f64 y) 2))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_6508`
11×	`*-un-lft-identity_binary64_6480` `add-sqr-sqrt_binary64_6501` `add-cube-cbrt_binary64_6512`
10×	`add-exp-log_binary64_6515` `pow1_binary64_6538`
6×	`unpow-prod-down_binary64_6556` `associate-r_binary64_6422` `add-cbrt-cube_binary64_6513`
4×	`add-log-exp_binary64_6516`
3×	`prod-exp_binary64_6526` `pow-unpow_binary64_6554` `pow-prod-down_binary64_6548` `cbrt-unprod_binary64_6510`
2×	`sqr-pow_binary64_6452` `unpow2_binary64_6542` `pow1/3_binary64_6559`
1×	`pow-exp_binary64_6545` `pow-pow_binary64_6549` `associate-l_binary64_6423` `pow-to-exp_binary64_6546` `*-commutative_binary64_6413`

Counts

4 → 66

Calls

4 calls:

10.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)))
4.0ms	(pow.f64 (sin.f64 y) 2)
3.0ms	(cbrt.f64 (pow.f64 (sin.f64 y) 2))
2.0ms	(cbrt.f64 (sin.f64 y))

series399.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt.f64 (pow.f64 (sin.f64 y) 2))
138.0ms	(cbrt.f64 (sin.f64 y))
72.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)))
25.0ms	(pow.f64 (sin.f64 y) 2)

simplify68.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5197	874

prune72.0ms (1.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	78	7	85

Merged error: 0b

Counts

85 → 7

Compiler

Compiled 1477 to 596 computations (59.6% saved)

regimes73.0ms (1.6%)

Compiler: Compiled 432 to 346 computations (19.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.5s (32%)

Algorithm

1×

intervals

Results

500.0ms	1365×	body	1024	valid
369.0ms	5663×	body	128	valid
143.0ms	621×	body	512	valid
51.0ms	348×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 121 to 98 computations (19% saved)

Details

analyze290.0ms (6.4%)

sample42.0ms (0.9%)

simplify183.0ms (4%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite20.0ms (0.4%)

series197.0ms (4.3%)

simplify66.0ms (1.5%)

prune48.0ms (1.1%)

localize14.0ms (0.3%)

rewrite17.0ms (0.4%)

series639.0ms (14%)

simplify84.0ms (1.8%)

prune75.0ms (1.7%)

localize14.0ms (0.3%)

rewrite20.0ms (0.4%)

series564.0ms (12.4%)

simplify75.0ms (1.7%)

prune82.0ms (1.8%)

localize15.0ms (0.3%)

rewrite24.0ms (0.5%)

series399.0ms (8.8%)

simplify68.0ms (1.5%)

prune72.0ms (1.6%)

regimes73.0ms (1.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (32%)

Profiling