Details

analyze481.0ms (7.4%)

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)

sample54.0ms (0.8%)

Algorithm

1×

intervals

Results

19.0ms	54×	body	1024	valid
13.0ms	160×	body	128	valid
6.0ms	25×	body	512	valid
3.0ms	17×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

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 (0.1%)

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

rewrite58.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_7602`
7×	`pow1_binary64_7641` `add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616` `add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
6×	`associate-l_binary64_7521` `associate-r_binary64_7520`
5×	`add-log-exp_binary64_7619`
2×	`pow-prod-down_binary64_7651` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `unswap-sqr_binary64_7548` `*-commutative_binary64_7511`
1×	`sum-log_binary64_7671` `flip3-+_binary64_7583` `flip-+_binary64_7554` `+-commutative_binary64_7510`

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)))

Compiler

Compiled 730 to 175 computations (76% saved)

series373.0ms (5.7%)

Error

0.1b

Counts

3 → 33

Calls

3 calls:

219.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
74.0ms	(*.f64 x (cos.f64 y))
61.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 800 to 512 computations (36% saved)

simplify124.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	5172	874

prune81.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	70	10	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	10	81

Error

0.0b

Counts

81 → 10

Compiler

Compiled 1111 to 302 computations (72.8% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.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))

rewrite87.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_7611`
23×	`add-sqr-sqrt_binary64_7602`
15×	`add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
11×	`pow1_binary64_7641`
9×	`pow1/3_binary64_7662`
6×	`add-exp-log_binary64_7618` `swap-sqr_binary64_7547` `associate-l_binary64_7521` `associate-r_binary64_7520`
4×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `unswap-sqr_binary64_7548`
2×	`pow-prod-down_binary64_7651` `pow-prod-up_binary64_7650` `pow-sqr_binary64_7553`
1×	`pow2_binary64_7661` `pow-plus_binary64_7643` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `*-commutative_binary64_7511`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
3.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series352.0ms (5.4%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

103.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
88.0ms	(cbrt.f64 (cos.f64 y))
80.0ms	(cbrt.f64 (cos.f64 y))
69.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 840 to 522 computations (37.9% saved)

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4872	740
1	4872	740

prune128.0ms (2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	88	11	99

Error

0.0b

Counts

99 → 11

Compiler

Compiled 1963 to 552 computations (71.9% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite165.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-exp-log_binary64_7618`
22×	`add-sqr-sqrt_binary64_7602`
19×	`unpow-prod-down_binary64_7659`
18×	`associate-r_binary64_7520`
16×	`prod-exp_binary64_7629`
13×	`add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
11×	`add-cbrt-cube_binary64_7616`
9×	`pow-exp_binary64_7648`
7×	`pow1_binary64_7641` `cbrt-unprod_binary64_7613`
6×	`cbrt-prod_binary64_7611` `unswap-sqr_binary64_7548`
5×	`pow-to-exp_binary64_7649` `sqr-pow_binary64_7552`
4×	`add-log-exp_binary64_7619` `associate-l_binary64_7521`
3×	`pow-unpow_binary64_7657` `unpow2_binary64_7645`
2×	`unpow1/3_binary64_7647` `*-commutative_binary64_7511`
1×	`pow1/3_binary64_7662` `pow-pow_binary64_7652` `pow-prod-down_binary64_7651`

Counts

4 → 90

Calls

4 calls:

11.0ms	(.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))

Compiler

Compiled 2148 to 1014 computations (52.8% saved)

series525.0ms (8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

284.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
103.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
79.0ms	(cbrt.f64 (cos.f64 y))
34.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 1037 to 731 computations (29.5% saved)

simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5178	1077

prune121.0ms (1.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	114	11	125

Error

0.0b

Counts

125 → 11

Compiler

Compiled 2183 to 862 computations (60.5% 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))

rewrite98.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_7611`
23×	`add-sqr-sqrt_binary64_7602`
15×	`add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
11×	`pow1_binary64_7641`
9×	`pow1/3_binary64_7662`
6×	`add-exp-log_binary64_7618` `swap-sqr_binary64_7547` `associate-l_binary64_7521` `associate-r_binary64_7520`
4×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `unswap-sqr_binary64_7548`
2×	`pow-prod-down_binary64_7651` `pow-prod-up_binary64_7650` `pow-sqr_binary64_7553`
1×	`pow2_binary64_7661` `pow-plus_binary64_7643` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `*-commutative_binary64_7511`

Counts

4 → 73

Calls

4 calls:

9.0ms	(*.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))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series395.0ms (6%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

98.0ms	(cbrt.f64 (sin.f64 y))
98.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
93.0ms	(cbrt.f64 (sin.f64 y))
91.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 922 to 584 computations (36.7% saved)

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4890	770
1	4890	770

prune83.0ms (1.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	2	6	8
Picked	1	0	1
Done	0	2	2
Total	89	11	100

Error

0.0b

Counts

100 → 11

Compiler

Compiled 1821 to 449 computations (75.3% saved)

regimes392.0ms (6%)

Accuracy

Total 0.1b remaining (82%)

Threshold costs 0.1b (82%)

Compiler

Compiled 2912 to 2058 computations (29.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample2.7s (41.2%)

Algorithm

1×

intervals

Results

697.0ms	1955×	body	1024	valid
378.0ms	4548×	body	128	valid
242.0ms	1011×	body	512	valid
80.0ms	482×	body	256	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 741 to 526 computations (29% saved)

Details

analyze481.0ms (7.4%)

sample54.0ms (0.8%)

simplify11.0ms (0.2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite58.0ms (0.9%)

series373.0ms (5.7%)

simplify124.0ms (1.9%)

prune81.0ms (1.2%)

localize24.0ms (0.4%)

rewrite87.0ms (1.3%)

series352.0ms (5.4%)

simplify85.0ms (1.3%)

prune128.0ms (2%)

localize18.0ms (0.3%)

rewrite165.0ms (2.5%)

series525.0ms (8%)

simplify99.0ms (1.5%)

prune121.0ms (1.9%)

localize11.0ms (0.2%)

rewrite98.0ms (1.5%)

series395.0ms (6%)

simplify64.0ms (1%)

prune83.0ms (1.3%)

regimes392.0ms (6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.7s (41.2%)

Profiling