Details

analyze769.0ms (7%)

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

Compiler

Compiled 51 to 41 computations (19.6% saved)

sample198.0ms (1.8%)

Algorithm

1×

intervals

Results

108.0ms	83×	body	1280	valid
48.0ms	56×	body	640	valid
15.0ms	84×	body	80	valid
14.0ms	23×	body	320	valid
4.0ms	10×	body	160	valid

Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5020	77

prune9.0ms (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: 0.4b

Counts

2 → 2

Compiler

Compiled 146 to 116 computations (20.5% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.7b	(/.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) 2/3)
1.0b	(-.f64 3 (sqrt.f64 5))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
8×	`add-log-exp_binary64`
6×	`pow1_binary64` `associate-r_binary64` `associate-l_binary64`
5×	`difference-of-squares_binary64` `sqrt-prod_binary64`
4×	`sub-neg_binary64` `flip3--_binary64` `associate-*r/_binary64` `times-frac_binary64` `flip--_binary64`
3×	`associate-/r*_binary64` `distribute-lft-out--_binary64`
2×	`associate-/l/_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `diff-cos_binary64` `-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

12.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
9.0ms	(/.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) 2/3)
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))

series30.0ms (0.3%)

Counts

4 → 10

Calls

4 calls:

14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
9.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
7.0ms	(/.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) 2/3)
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4911	1535
1	4911	1535

prune215.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	9	90
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	82	10	92

Merged error: 0.1b

Counts

92 → 10

Compiler

Compiled 5414 to 3654 computations (32.5% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (-.f64 (sqrt.f64 5) 1) (/.f64 (cos.f64 x) (sqrt.f64 2/3)))
0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(-.f64 3 (sqrt.f64 5))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
28×	`associate-r_binary64`
21×	`add-cube-cbrt_binary64` `times-frac_binary64`
19×	`sqrt-prod_binary64`
17×	`associate-l_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`difference-of-squares_binary64`
8×	`add-log-exp_binary64` `pow1_binary64`
5×	`flip3--_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
4×	`sub-neg_binary64`
3×	`cbrt-unprod_binary64` `associate-*r/_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `diff-log_binary64` `difference-of-sqr-1_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-inv_binary64` `div-exp_binary64` `diff-cos_binary64`

Counts

4 → 111

Calls

4 calls:

16.0ms	(*.f64 (-.f64 (sqrt.f64 5) 1) (/.f64 (cos.f64 x) (sqrt.f64 2/3)))
12.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
6.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))

series38.0ms (0.3%)

Counts

4 → 10

Calls

4 calls:

18.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
11.0ms	(*.f64 (-.f64 (sqrt.f64 5) 1) (/.f64 (cos.f64 x) (sqrt.f64 2/3)))
9.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4955	2265
1	4955	2265

prune328.0ms (3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	116	5	121
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	120	11	131

Merged error: 0.1b

Counts

131 → 11

Compiler

Compiled 7769 to 5388 computations (30.6% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
0.3b	(*.f64 (-.f64 (sqrt.f64 5) 1) (/.f64 (cos.f64 x) (sqrt.f64 2/3)))
0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite60.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64`
34×	`associate-r_binary64`
33×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64` `times-frac_binary64`
18×	`associate-l_binary64` `sqrt-prod_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`pow1_binary64`
11×	`associate-*r/_binary64`
10×	`flip3--_binary64` `flip--_binary64`
9×	`difference-of-squares_binary64`
6×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
5×	`pow-prod-down_binary64` `sub-neg_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64`
4×	`associate-*l/_binary64`
3×	`*-commutative_binary64`
2×	`difference-of-sqr-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
1×	`diff-log_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `diff-cos_binary64`

Counts

4 → 128

Calls

4 calls:

20.0ms	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
18.0ms	(*.f64 (-.f64 (sqrt.f64 5) 1) (/.f64 (cos.f64 x) (sqrt.f64 2/3)))
12.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series63.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
12.0ms	(*.f64 (-.f64 (sqrt.f64 5) 1) (/.f64 (cos.f64 x) (sqrt.f64 2/3)))
9.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify128.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4977	3363
1	4977	3363

prune407.0ms (3.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	141	10	151

Merged error: 0.1b

Counts

151 → 10

Compiler

Compiled 9347 to 6464 computations (30.8% saved)

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (-.f64 (sqrt.f64 5) 1) (/.f64 (cos.f64 x) (sqrt.f64 2/3)))
0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))
2.8b	(log.f64 (pow.f64 (exp.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
28×	`associate-r_binary64`
23×	`add-cube-cbrt_binary64`
21×	`times-frac_binary64`
18×	`sqrt-prod_binary64`
17×	`associate-l_binary64`
12×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
10×	`log-prod_binary64`
8×	`pow1_binary64`
7×	`difference-of-squares_binary64`
6×	`add-log-exp_binary64` `sub-neg_binary64`
5×	`unswap-sqr_binary64` `unpow-prod-down_binary64`
4×	`flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
3×	`cbrt-unprod_binary64` `rem-log-exp_binary64` `associate-*r/_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `difference-of-sqr-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `exp-sum_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`pow-to-exp_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `sqr-pow_binary64` `unpow-prod-up_binary64` `pow-sub_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64` `pow-exp_binary64` `diff-cos_binary64`

Counts

4 → 119

Calls

4 calls:

16.0ms	(*.f64 (-.f64 (sqrt.f64 5) 1) (/.f64 (cos.f64 x) (sqrt.f64 2/3)))
13.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
6.0ms	(log.f64 (pow.f64 (exp.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series87.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(log.f64 (pow.f64 (exp.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))
14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
12.0ms	(*.f64 (-.f64 (sqrt.f64 5) 1) (/.f64 (cos.f64 x) (sqrt.f64 2/3)))
9.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify119.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5006	2987

prune362.0ms (3.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	130	11	141

Merged error: 0.1b

Counts

141 → 11

Compiler

Compiled 8308 to 5805 computations (30.1% saved)

regimes195.0ms (1.8%)

Compiler: Compiled 2231 to 1783 computations (20.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	118	91
1	118	91

end0.0ms (0%)

sample7.5s (68.5%)

Algorithm

1×

intervals

Results

3.6s	2704×	body	1280	valid
1.6s	1896×	body	640	valid
481.0ms	786×	body	320	valid
434.0ms	2274×	body	80	valid
136.0ms	340×	body	160	valid

Compiler

Compiled 816 to 654 computations (19.9% saved)

Details

analyze769.0ms (7%)

sample198.0ms (1.8%)

simplify39.0ms (0.4%)

prune9.0ms (0.1%)

localize35.0ms (0.3%)

rewrite33.0ms (0.3%)

series30.0ms (0.3%)

simplify75.0ms (0.7%)

prune215.0ms (2%)

localize37.0ms (0.3%)

rewrite42.0ms (0.4%)

series38.0ms (0.3%)

simplify58.0ms (0.5%)

prune328.0ms (3%)

localize35.0ms (0.3%)

rewrite60.0ms (0.5%)

series63.0ms (0.6%)

simplify128.0ms (1.2%)

prune407.0ms (3.7%)

localize46.0ms (0.4%)

rewrite44.0ms (0.4%)

series87.0ms (0.8%)

simplify119.0ms (1.1%)

prune362.0ms (3.3%)

regimes195.0ms (1.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample7.5s (68.5%)

Profiling