Details

analyze829.0ms (7.6%)

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
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12
74.9%	25%	0.1%	13
74.9%	25%	0.1%	14

sample217.0ms (2%)

Algorithm

1×

intervals

Results

124.0ms	91×	body	1280	valid
54.0ms	64×	body	640	valid
13.0ms	72×	body	80	valid
12.0ms	20×	body	320	valid
4.0ms	9×	body	160	valid

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4955	50
1	4955	50

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.4b

Counts

2 → 1

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0)))
0.5b	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
1.0b	(-.f64 3.0 (sqrt.f64 5.0))
1.6b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite45.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
12×	`associate-r_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
7×	`associate-l_binary64` `difference-of-squares_binary64`
6×	`sub-neg_binary64`
5×	`sqrt-prod_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `frac-times_binary64`
2×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `times-frac_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-cos_binary64`

Counts

4 → 88

Calls

4 calls:

20.0ms	(.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0)))
12.0ms	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3.0 (sqrt.f64 5.0))

series58.0ms (0.5%)

Counts

4 → 10

Calls

4 calls:

31.0ms	(.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0)))
16.0ms	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
11.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3.0 (sqrt.f64 5.0))

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5070	1524

prune287.0ms (2.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	9	99

Merged error: 0.2b

Counts

99 → 9

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y)))
0.3b	(.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0)))
0.5b	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
1.6b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite74.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`associate-*r/_binary64`
35×	`flip3--_binary64` `flip--_binary64`
32×	`frac-times_binary64`
27×	`add-sqr-sqrt_binary64`
20×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`associate-r_binary64`
17×	`*-un-lft-identity_binary64`
16×	`associate-*l/_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`add-cube-cbrt_binary64`
8×	`associate-l_binary64`
7×	`sub-neg_binary64`
6×	`add-log-exp_binary64` `difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64` `sqrt-prod_binary64`
3×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64` `times-frac_binary64` `diff-cos_binary64`
1×	`diff-log_binary64`

Counts

4 → 126

Calls

4 calls:

32.0ms	(.f64 (.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y)))
20.0ms	(.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0)))
12.0ms	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series102.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(.f64 (.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y)))
28.0ms	(.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0)))
15.0ms	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
10.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5199	3491

prune483.0ms (4.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	140	7	147

Merged error: 0.2b

Counts

147 → 7

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (+.f64 2.0 (log.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3.0 (+.f64 (+.f64 1.0 (.f64 (/.f64 (-.f64 (sqrt.f64 5.0) 1.0) 2.0) (cos.f64 x))) (.f64 (/.f64 (/.f64 (-.f64 (*.f64 3.0 3.0) 5.0) (+.f64 3.0 (sqrt.f64 5.0))) 2.0) (cos.f64 y)))))
0.5b	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
1.6b	(-.f64 (cos.f64 x) (cos.f64 y))
3.1b	(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y))))

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
15×	`log-prod_binary64` `unpow-prod-down_binary64`
13×	`add-exp-log_binary64`
12×	`add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`
7×	`sub-neg_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`rem-log-exp_binary64` `times-frac_binary64`
4×	`associate-/r/_binary64` `associate-/l*_binary64` `sqrt-prod_binary64` `pow-exp_binary64`
3×	`flip3-+_binary64` `difference-of-squares_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `frac-add_binary64` `sqr-pow_binary64` `unpow-prod-up_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `pow-sub_binary64` `exp-sum_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `log-div_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-+r-_binary64` `diff-log_binary64` `log-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `diff-cos_binary64` `-commutative_binary64`

Counts

4 → 102

Calls

4 calls:

15.0ms	(/.f64 (+.f64 2.0 (log.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3.0 (+.f64 (+.f64 1.0 (.f64 (/.f64 (-.f64 (sqrt.f64 5.0) 1.0) 2.0) (cos.f64 x))) (.f64 (/.f64 (/.f64 (-.f64 (*.f64 3.0 3.0) 5.0) (+.f64 3.0 (sqrt.f64 5.0))) 2.0) (cos.f64 y)))))
12.0ms	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
8.0ms	(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y))))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series435.0ms (4%)

Counts

4 → 12

Calls

4 calls:

298.0ms	(/.f64 (+.f64 2.0 (log.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3.0 (+.f64 (+.f64 1.0 (.f64 (/.f64 (-.f64 (sqrt.f64 5.0) 1.0) 2.0) (cos.f64 x))) (.f64 (/.f64 (/.f64 (-.f64 (*.f64 3.0 3.0) 5.0) (+.f64 3.0 (sqrt.f64 5.0))) 2.0) (cos.f64 y)))))
111.0ms	(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y))))
15.0ms	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
10.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4987	3819
1	4987	3819

prune467.0ms (4.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	106	8	114
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	111	10	121

Merged error: 0.0b

Counts

121 → 10

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)) (sqrt.f64 (sqrt.f64 2.0)))
0.3b	(.f64 (sqrt.f64 (sqrt.f64 2.0)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)) (sqrt.f64 (sqrt.f64 2.0))))
1.6b	(-.f64 (cos.f64 x) (cos.f64 y))
3.1b	(log.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 (sqrt.f64 (sqrt.f64 2.0)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)) (sqrt.f64 (sqrt.f64 2.0))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y))))

rewrite49.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
18×	`*-un-lft-identity_binary64`
15×	`associate-l_binary64`
14×	`add-cube-cbrt_binary64`
13×	`log-prod_binary64` `add-exp-log_binary64`
11×	`pow1_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64`
10×	`associate-r_binary64`
6×	`add-log-exp_binary64`
5×	`rem-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `pow-exp_binary64` `associate-*l/_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`pow-to-exp_binary64` `associate-r/_binary64` `sqr-pow_binary64` `unpow-prod-up_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `log-pow_binary64` `pow-sub_binary64` `times-frac_binary64` `log-div_binary64` `diff-cos_binary64`

Counts

4 → 98

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (sqrt.f64 2.0)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)) (sqrt.f64 (sqrt.f64 2.0))))
14.0ms	(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)) (sqrt.f64 (sqrt.f64 2.0)))
9.0ms	(log.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 (sqrt.f64 (sqrt.f64 2.0)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)) (sqrt.f64 (sqrt.f64 2.0))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y))))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series153.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

108.0ms	(log.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 (sqrt.f64 (sqrt.f64 2.0)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)) (sqrt.f64 (sqrt.f64 2.0))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y))))
18.0ms	(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)) (sqrt.f64 (sqrt.f64 2.0)))
17.0ms	(.f64 (sqrt.f64 (sqrt.f64 2.0)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)) (sqrt.f64 (sqrt.f64 2.0))))
10.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5057	1891

prune557.0ms (5.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	110	10	120

Merged error: 0.0b

Counts

120 → 10

regimes159.0ms (1.5%)

Accuracy

Total 0.4b remaining (87.7%)

Threshold costs 0.4b (87.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	104	63
1	104	63

end0.0ms (0%)

sample6.5s (59.9%)

Algorithm

1×

intervals

Results

3.7s	2776×	body	1280	valid
1.6s	1809×	body	640	valid
474.0ms	781×	body	320	valid
451.0ms	2296×	body	80	valid
136.0ms	338×	body	160	valid

Details

analyze829.0ms (7.6%)

sample217.0ms (2%)

simplify24.0ms (0.2%)

prune7.0ms (0.1%)

localize37.0ms (0.3%)

rewrite45.0ms (0.4%)

series58.0ms (0.5%)

simplify44.0ms (0.4%)

prune287.0ms (2.6%)

localize38.0ms (0.4%)

rewrite74.0ms (0.7%)

series102.0ms (0.9%)

simplify47.0ms (0.4%)

prune483.0ms (4.4%)

localize44.0ms (0.4%)

rewrite44.0ms (0.4%)

series435.0ms (4%)

simplify61.0ms (0.6%)

prune467.0ms (4.3%)

localize46.0ms (0.4%)

rewrite49.0ms (0.4%)

series153.0ms (1.4%)

simplify55.0ms (0.5%)

prune557.0ms (5.1%)

regimes159.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample6.5s (59.9%)

Profiling