Details

analyze276.0ms (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
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)

sample44.0ms (1%)

Algorithm

1×

intervals

Results

15.0ms	55×	body	1024	valid
10.0ms	149×	body	128	valid
6.0ms	32×	body	512	valid
3.0ms	20×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify97.0ms (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%)

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

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5556`
7×	`*-un-lft-identity_binary64_5534` `add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `add-cube-cbrt_binary64_5569` `pow1_binary64_5595`
6×	`associate-l_binary64_5475` `associate-r_binary64_5474`
5×	`add-log-exp_binary64_5573`
2×	`cbrt-unprod_binary64_5567` `*-commutative_binary64_5465` `unswap-sqr_binary64_5502` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`
1×	`flip-+_binary64_5508` `flip3-+_binary64_5537` `+-commutative_binary64_5464` `sum-log_binary64_5625`

Counts

3 → 47

Calls

3 calls:

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

series130.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

73.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
30.0ms	(*.f64 x (sin.f64 y))
28.0ms	(*.f64 z (cos.f64 y))

simplify84.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5087	625

prune55.0ms (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

Error

0.0b

Counts

57 → 9

Compiler

Compiled 901 to 258 computations (71.4% saved)

localize11.0ms (0.2%)

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_5565`
23×	`add-sqr-sqrt_binary64_5556`
15×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
11×	`pow1_binary64_5595`
9×	`pow1/3_binary64_5616`
6×	`associate-l_binary64_5475` `swap-sqr_binary64_5501` `add-exp-log_binary64_5572` `associate-r_binary64_5474`
4×	`add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `unswap-sqr_binary64_5502`
2×	`pow-sqr_binary64_5507` `pow-prod-up_binary64_5604` `pow-prod-down_binary64_5605`
1×	`cbrt-unprod_binary64_5567` `pow-plus_binary64_5597` `*-commutative_binary64_5465` `pow2_binary64_5615` `prod-exp_binary64_5583`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))

series307.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
77.0ms	(cbrt.f64 (sin.f64 y))
73.0ms	(cbrt.f64 (sin.f64 y))
66.0ms	(cbrt.f64 (sin.f64 y))

simplify84.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4888	797
1	4888	797

prune84.0ms (1.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	83	11	94

Error

0.0b

Counts

94 → 11

Compiler

Compiled 1964 to 577 computations (70.6% saved)

localize14.0ms (0.3%)

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)))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_5595`
10×	`add-sqr-sqrt_binary64_5556`
9×	`pow1/3_binary64_5616`
8×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
7×	`cbrt-prod_binary64_5565`
6×	`add-exp-log_binary64_5572`
4×	`associate-l_binary64_5475` `swap-sqr_binary64_5501` `add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `associate-r_binary64_5474`
2×	`pow-sqr_binary64_5507` `pow-prod-up_binary64_5604` `pow-prod-down_binary64_5605`
1×	`cbrt-unprod_binary64_5567` `pow-plus_binary64_5597` `*-commutative_binary64_5465` `pow2_binary64_5615` `unswap-sqr_binary64_5502` `prod-exp_binary64_5583`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))
3.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
2.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))

series437.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))
106.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
99.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
98.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5314	719

prune73.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	69	12	81

Error

0.0b

Counts

81 → 12

Compiler

Compiled 1880 to 466 computations (75.2% saved)

localize18.0ms (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 z)

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5556` `pow1_binary64_5595`
9×	`cbrt-prod_binary64_5565` `*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569` `pow1/3_binary64_5616`
6×	`add-exp-log_binary64_5572`
4×	`associate-l_binary64_5475` `swap-sqr_binary64_5501` `add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `associate-r_binary64_5474`
2×	`pow-sqr_binary64_5507` `pow-prod-up_binary64_5604` `pow-prod-down_binary64_5605`
1×	`cbrt-unprod_binary64_5567` `pow-plus_binary64_5597` `*-commutative_binary64_5465` `pow2_binary64_5615` `unswap-sqr_binary64_5502` `prod-exp_binary64_5583`

Counts

4 → 60

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))
2.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
2.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
1.0ms	(cbrt.f64 z)

series429.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

135.0ms	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))
107.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
104.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
83.0ms	(cbrt.f64 z)

simplify82.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4863	682
1	4863	682

prune60.0ms (1.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	71	13	84

Error

0.0b

Counts

84 → 13

Compiler

Compiled 1770 to 346 computations (80.5% saved)

regimes234.0ms (5.1%)

Accuracy

Total 0.1b remaining (77.3%)

Threshold costs 0.1b (77.3%)

Compiler

Compiled 2336 to 1518 computations (35% 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 (42.2%)

Algorithm

1×

intervals

Results

582.0ms	2053×	body	1024	valid
323.0ms	4459×	body	128	valid
205.0ms	1007×	body	512	valid
64.0ms	474×	body	256	valid
3.0ms	7×	body	2048	valid

Compiler

Compiled 597 to 391 computations (34.5% saved)

Details

analyze276.0ms (6%)

sample44.0ms (1%)

simplify97.0ms (2.1%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite16.0ms (0.4%)

series130.0ms (2.8%)

simplify84.0ms (1.8%)

prune55.0ms (1.2%)

localize11.0ms (0.2%)

rewrite17.0ms (0.4%)

series307.0ms (6.7%)

simplify84.0ms (1.8%)

prune84.0ms (1.8%)

localize14.0ms (0.3%)

rewrite18.0ms (0.4%)

series437.0ms (9.5%)

simplify58.0ms (1.3%)

prune73.0ms (1.6%)

localize18.0ms (0.4%)

rewrite17.0ms (0.4%)

series429.0ms (9.3%)

simplify82.0ms (1.8%)

prune60.0ms (1.3%)

regimes234.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (42.2%)

Profiling