Details

analyze1.1s (10.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	22
1	50	22
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
37.5%	62.5%	0%	4
43.7%	56.2%	0%	5
46.9%	53.1%	0%	6
48.4%	51.5%	0%	7
49.2%	50.8%	0%	8
49.6%	50.4%	0%	9
49.8%	50.2%	0%	10
49.9%	50.1%	0%	11
49.9%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

Compiler

Compiled 17 to 15 computations (11.8% saved)

sample84.0ms (0.8%)

Algorithm

1×

intervals

Results

41.0ms	71×	body	1024	valid
17.0ms	142×	body	128	valid
11.0ms	28×	body	512	valid
4.0ms	15×	body	256	valid

Compiler

Compiled 33 to 30 computations (9.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	50	22
1	50	22

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

13.7b

Counts

2 → 1

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
0.4b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
13.5b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

rewrite146.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
10×	`pow1_binary64_14802` `add-sqr-sqrt_binary64_14763`
8×	`add-cube-cbrt_binary64_14776` `*-un-lft-identity_binary64_14741`
7×	`prod-exp_binary64_14790` `cbrt-unprod_binary64_14774`
6×	`associate-l_binary64_14682`
4×	`pow-prod-down_binary64_14812` `associate-r_binary64_14681`
3×	`div-exp_binary64_14792` `add-log-exp_binary64_14780` `cbrt-undiv_binary64_14775` `times-frac_binary64_14747` `associate-/r*_binary64_14685`
2×	`*-commutative_binary64_14672`
1×	`frac-2neg_binary64_14752` `clear-num_binary64_14740` `div-inv_binary64_14738` `associate-/l*_binary64_14686` `unswap-sqr_binary64_14709`

Counts

3 → 59

Calls

3 calls:

13.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
9.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
5.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

Compiler

Compiled 1330 to 993 computations (25.3% saved)

series183.0ms (1.8%)

Error

0.3b

Counts

3 → 15

Calls

3 calls:

73.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
62.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
33.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

Compiler

Compiled 532 to 435 computations (18.2% saved)

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4934	1123
1	4934	1123

prune122.0ms (1.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	61	13	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	13	75

Error

0.1b

Counts

75 → 13

Compiler

Compiled 1468 to 1120 computations (23.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
0.4b	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
0.4b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

rewrite142.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
14×	`add-sqr-sqrt_binary64_14763`
10×	`add-cube-cbrt_binary64_14776` `-un-lft-identity_binary64_14741` `associate-r*_binary64_14681`
7×	`pow1_binary64_14802`
6×	`prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `associate-l_binary64_14682` `times-frac_binary64_14747`
4×	`div-exp_binary64_14792` `cbrt-undiv_binary64_14775`
3×	`add-log-exp_binary64_14780` `associate-/r*_binary64_14685`
2×	`pow-prod-down_binary64_14812` `unswap-sqr_binary64_14709` `*-commutative_binary64_14672` `div-inv_binary64_14738`
1×	`frac-2neg_binary64_14752` `clear-num_binary64_14740` `associate-/l_binary64_14686` `associate-r/_binary64_14683`

Counts

3 → 66

Calls

3 calls:

16.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
10.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
5.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

Compiler

Compiled 1482 to 1080 computations (27.1% saved)

series207.0ms (2%)

Error

0.1b

Counts

3 → 15

Calls

3 calls:

78.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
66.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
40.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

Compiler

Compiled 536 to 443 computations (17.4% saved)

simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4991	1295
1	4991	1295

prune126.0ms (1.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	75	6	81
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	81	13	94

Error

0.0b

Counts

94 → 13

Compiler

Compiled 1697 to 1279 computations (24.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))
0.3b	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
0.4b	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))

rewrite260.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
20×	`add-sqr-sqrt_binary64_14763`
14×	`prod-exp_binary64_14790` `add-cube-cbrt_binary64_14776` `cbrt-unprod_binary64_14774` `-un-lft-identity_binary64_14741` `associate-r*_binary64_14681`
13×	`pow1_binary64_14802`
12×	`associate-l_binary64_14682`
7×	`sqrt-prod_binary64_14757`
6×	`div-exp_binary64_14792` `cbrt-undiv_binary64_14775` `times-frac_binary64_14747`
5×	`pow-prod-down_binary64_14812`
4×	`add-log-exp_binary64_14780`
3×	`associate-/r_binary64_14685` `unswap-sqr_binary64_14709` `-commutative_binary64_14672`
2×	`div-inv_binary64_14738`
1×	`frac-2neg_binary64_14752` `clear-num_binary64_14740` `associate-/l_binary64_14686` `associate-r/_binary64_14683`

Counts

4 → 95

Calls

4 calls:

23.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
16.0ms	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
12.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))
11.0ms	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))

Compiler

Compiled 2640 to 2092 computations (20.8% saved)

series424.0ms (4.1%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

145.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
105.0ms	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
72.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))
71.0ms	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))

Compiler

Compiled 1138 to 1000 computations (12.1% saved)

simplify104.0ms (1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4932	1828
1	4932	1828

prune201.0ms (1.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	116	12	128

Error

0.0b

Counts

128 → 12

Compiler

Compiled 2485 to 1929 computations (22.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))
0.1b	(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
0.2b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (sin.f64 x))
0.3b	(.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sin.f64 x)))

rewrite224.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
22×	`add-sqr-sqrt_binary64_14763`
16×	`associate-r_binary64_14681`
14×	`prod-exp_binary64_14790` `add-cube-cbrt_binary64_14776` `cbrt-unprod_binary64_14774` `*-un-lft-identity_binary64_14741`
13×	`pow1_binary64_14802`
10×	`associate-l_binary64_14682`
8×	`sqrt-prod_binary64_14757`
6×	`div-exp_binary64_14792` `cbrt-undiv_binary64_14775` `times-frac_binary64_14747`
5×	`pow-prod-down_binary64_14812`
4×	`add-log-exp_binary64_14780` `unswap-sqr_binary64_14709`
3×	`-commutative_binary64_14672` `associate-/r_binary64_14685`
2×	`div-inv_binary64_14738`
1×	`associate-r/_binary64_14683` `frac-2neg_binary64_14752` `clear-num_binary64_14740` `associate-/l_binary64_14686`

Counts

4 → 96

Calls

4 calls:

11.0ms	(.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sin.f64 x)))
10.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))
7.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (sin.f64 x))
6.0ms	(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))

Compiler

Compiled 2628 to 2070 computations (21.2% saved)

series326.0ms (3.1%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

128.0ms	(.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x))) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sin.f64 x)))
70.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (sin.f64 x))
55.0ms	(.f64 (sqrt.f64 8/3) (sin.f64 (.f64 1/2 x)))
49.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))

Compiler

Compiled 1128 to 990 computations (12.2% saved)

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4929	1945
1	4929	1945

prune194.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	117	11	128

Error

0.0b

Counts

128 → 11

Compiler

Compiled 2391 to 1883 computations (21.2% saved)

regimes631.0ms (6.1%)

Accuracy

Total 0.5b remaining (99.7%)

Threshold costs 0.5b (99.7%)

Compiler

Compiled 4738 to 4050 computations (14.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	29
1	16	29

end0.0ms (0%)

sample5.6s (53.6%)

Algorithm

1×

intervals

Results

1.1s	2021×	body	1024	valid
564.0ms	4445×	body	128	valid
378.0ms	1057×	body	512	valid
139.0ms	469×	body	256	valid
6.0ms	8×	body	2048	valid

Compiler

Compiled 2403 to 2056 computations (14.4% saved)

Details

analyze1.1s (10.6%)

sample84.0ms (0.8%)

simplify8.0ms (0.1%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite146.0ms (1.4%)

series183.0ms (1.8%)

simplify87.0ms (0.8%)

prune122.0ms (1.2%)

localize8.0ms (0.1%)

rewrite142.0ms (1.4%)

series207.0ms (2%)

simplify114.0ms (1.1%)

prune126.0ms (1.2%)

localize10.0ms (0.1%)

rewrite260.0ms (2.5%)

series424.0ms (4.1%)

simplify104.0ms (1%)

prune201.0ms (1.9%)

localize17.0ms (0.2%)

rewrite224.0ms (2.2%)

series326.0ms (3.1%)

simplify103.0ms (1%)

prune194.0ms (1.9%)

regimes631.0ms (6.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.6s (53.6%)

Profiling