Details

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
37.5%	37.5%	25.1%	2
37.5%	18.7%	43.8%	3
46.8%	9.4%	43.8%	4
51.5%	4.7%	43.8%	5
51.5%	2.3%	46.1%	6
52.7%	1.2%	46.1%	7
53.3%	0.6%	46.1%	8
53.3%	0.3%	46.4%	9
53.4%	0.1%	46.4%	10
53.5%	0.1%	46.4%	11
53.5%	0%	46.5%	12
53.5%	0%	46.5%	13
53.5%	0%	46.5%	14

sample45.0ms

Algorithm

intervals

Results

27.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify317.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (183.0ms)

Iter	Nodes	Cost
0	5014	47

prune29.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.0b

Counts

2 → 2

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.2b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1_binary64_1804`
35×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
18×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809`
17×	`add-sqr-sqrt_binary64_1843`
15×	`associate-l_binary64_1918`
14×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
12×	`pow-plus_binary64_1799` `pow-prod-up_binary64_1784` `pow-prod-down_binary64_1785`
9×	`times-frac_binary64_1853`
7×	`associate-r_binary64_1917`
4×	`pow2_binary64_1795` `pow-sqr_binary64_1891` `add-log-exp_binary64_1823`
3×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `*-commutative_binary64_1926` `sqrt-prod_binary64_1837`
2×	`pow3_binary64_1797` `unswap-sqr_binary64_1886`
1×	`sqrt-pow1_binary64_1839` `div-inv_binary64_1859` `associate-*l/_binary64_1920` `pow1/2_binary64_1794` `rem-sqrt-square_binary64_1846`

Counts

4 → 107

Calls

4 calls:

7.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
11.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
12.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
2.0ms	(sqrt.f64 PI.f64)

series98.0ms

Counts

4 → 10

Calls

4 calls:

28.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
29.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
42.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
0.0ms	(sqrt.f64 PI.f64)

simplify86.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5051	954

prune495.0ms

Filtered

65 candidates to 117 candidates (-80.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	117	2	119

Merged error: 0.0b

Counts

119 → 2

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.2b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1_binary64_1804`
35×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
18×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809`
17×	`add-sqr-sqrt_binary64_1843`
15×	`associate-l_binary64_1918`
14×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
12×	`pow-plus_binary64_1799` `pow-prod-up_binary64_1784` `pow-prod-down_binary64_1785`
9×	`times-frac_binary64_1853`
7×	`associate-r_binary64_1917`
4×	`pow2_binary64_1795` `pow-sqr_binary64_1891` `add-log-exp_binary64_1823`
3×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `*-commutative_binary64_1926` `sqrt-prod_binary64_1837`
2×	`pow3_binary64_1797` `unswap-sqr_binary64_1886`
1×	`sqrt-pow1_binary64_1839` `div-inv_binary64_1859` `associate-*l/_binary64_1920` `pow1/2_binary64_1794` `rem-sqrt-square_binary64_1846`

Counts

4 → 107

Calls

4 calls:

9.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
6.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
11.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0ms	(sqrt.f64 PI.f64)

series112.0ms

Counts

4 → 10

Calls

4 calls:

33.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
33.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
45.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
0.0ms	(sqrt.f64 PI.f64)

simplify81.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5076	954

prune490.0ms

Filtered

65 candidates to 117 candidates (-80.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	117	2	119

Merged error: 0.0b

Counts

119 → 2

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
0.2b	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
0.3b	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 PI.f64))
1.0b	(sqrt.f64 PI.f64)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64_1843`
27×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
19×	`associate-r_binary64_1917`
18×	`times-frac_binary64_1853`
16×	`add-exp-log_binary64_1822`
15×	`sqrt-prod_binary64_1837`
10×	`add-cbrt-cube_binary64_1830`
8×	`unpow-prod-down_binary64_1793`
7×	`unswap-sqr_binary64_1886`
6×	`associate-l_binary64_1918` `associate-/r*_binary64_1921` `prod-exp_binary64_1809`
5×	`pow1_binary64_1804`
4×	`cube-prod_binary64_1831` `sqr-pow_binary64_1890` `add-log-exp_binary64_1823`
3×	`associate-/l*_binary64_1922`
2×	`cbrt-unprod_binary64_1827` `*-commutative_binary64_1926` `pow-to-exp_binary64_1783` `associate-/l/_binary64_1924` `pow-exp_binary64_1782`
1×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `clear-num_binary64_1861` `cube-mult_binary64_1833` `frac-2neg_binary64_1851` `sqrt-pow1_binary64_1839` `div-inv_binary64_1859` `flip3-+_binary64_1856` `pow1/2_binary64_1794` `rem-sqrt-square_binary64_1846` `unpow3_binary64_1802` `flip-+_binary64_1883`

Counts

4 → 110

Calls

4 calls:

5.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
7.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
14.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 PI.f64))
1.0ms	(sqrt.f64 PI.f64)

series399.0ms

Counts

4 → 10

Calls

4 calls:

57.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
46.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
296.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 PI.f64))
0.0ms	(sqrt.f64 PI.f64)

simplify81.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4978	3850
1	4978	3850

prune561.0ms

Filtered

77 candidates to 120 candidates (-55.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	118	4	122

Merged error: 0b

Counts

122 → 4

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
0.3b	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (*.f64 (sqrt.f64 (sqrt.f64 PI.f64)) (sqrt.f64 (sqrt.f64 PI.f64))))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_1843`
14×	`add-exp-log_binary64_1822`
12×	`add-cube-cbrt_binary64_1829` `-un-lft-identity_binary64_1858` `associate-r*_binary64_1917`
11×	`add-cbrt-cube_binary64_1830`
6×	`pow1_binary64_1804` `sqrt-prod_binary64_1837`
4×	`prod-exp_binary64_1809` `cube-prod_binary64_1831` `unpow-prod-down_binary64_1793` `unswap-sqr_binary64_1886` `add-log-exp_binary64_1823`
3×	`associate-l_binary64_1918` `times-frac_binary64_1853` `associate-/l*_binary64_1922`
2×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `cbrt-unprod_binary64_1827` `sqrt-pow1_binary64_1839` `associate-/l/_binary64_1924` `pow1/2_binary64_1794` `rem-sqrt-square_binary64_1846` `sqr-pow_binary64_1890`
1×	`clear-num_binary64_1861` `cube-mult_binary64_1833` `frac-2neg_binary64_1851` `associate-/r_binary64_1921` `-commutative_binary64_1926` `pow-to-exp_binary64_1783` `div-inv_binary64_1859` `pow-exp_binary64_1782` `flip3-+_binary64_1856` `unpow3_binary64_1802` `flip-+_binary64_1883`

Counts

4 → 80

Calls

4 calls:

12.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
20.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (*.f64 (sqrt.f64 (sqrt.f64 PI.f64)) (sqrt.f64 (sqrt.f64 PI.f64))))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

series341.0ms

Counts

4 → 8

Calls

4 calls:

47.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
294.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (*.f64 (sqrt.f64 (sqrt.f64 PI.f64)) (sqrt.f64 (sqrt.f64 PI.f64))))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

simplify76.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5098	1997

prune395.0ms

Filtered

58 candidates to 88 candidates (-51.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	88	4	92

Merged error: 0b

Counts

92 → 4

regimes155.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	94
1	47	94

end0.0ms

sample1.2s

Algorithm

intervals

Results

966.0ms	8000×	body	80	valid
85.0ms	8000×	pre	80	true

Details

analyze6.0ms

sample45.0ms

simplify317.0ms

prune29.0ms

localize43.0ms

rewrite34.0ms

series98.0ms

simplify86.0ms

prune495.0ms

localize47.0ms

rewrite32.0ms

series112.0ms

simplify81.0ms

prune490.0ms

localize29.0ms

rewrite31.0ms

series399.0ms

simplify81.0ms

prune561.0ms

localize32.0ms

rewrite37.0ms

series341.0ms

simplify76.0ms

prune395.0ms

regimes155.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.2s

Profiling