Details

analyze678.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

sample30.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	62×	body	80	invalid

simplify307.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (298.0ms)

Iter	Nodes	Cost
0	1484	16
1	1484	16

prune13.0ms

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: 4.8b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
0.0b	(/.f64 t (-.f64 1 z))
4.6b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_1843`
50×	`*-un-lft-identity_binary64_1858`
34×	`times-frac_binary64_1853`
16×	`add-cube-cbrt_binary64_1829` `difference-of-squares_binary64_1887`
12×	`distribute-lft-out--_binary64_1903`
10×	`associate-r_binary64_1917`
7×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
6×	`associate-/r*_binary64_1921`
5×	`pow1_binary64_1804` `add-log-exp_binary64_1823`
3×	`associate-l_binary64_1918` `associate-r/_binary64_1919` `sub-neg_binary64_1862` `flip--_binary64_1884` `associate-/l_binary64_1922` `flip3--_binary64_1857`
2×	`frac-sub_binary64_1849` `associate-/r/_binary64_1923`
1×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `cbrt-unprod_binary64_1827` `clear-num_binary64_1861` `frac-2neg_binary64_1851` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `div-inv_binary64_1859` `distribute-rgt-in_binary64_1901` `diff-log_binary64_1774` `unswap-sqr_binary64_1886` `distribute-lft-in_binary64_1900` `pow-prod-down_binary64_1785`

Counts

3 → 90

Calls

3 calls:

21.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
6.0ms	(/.f64 t (-.f64 1 z))
24.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

series127.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
26.0ms	(/.f64 t (-.f64 1 z))
65.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

simplify84.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5074	1707

prune394.0ms

Filtered

72 candidates to 99 candidates (-37.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	87	12	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	13	100

Merged error: 0.0b

Counts

100 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.3b	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
2.6b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_1843`
20×	`*-un-lft-identity_binary64_1858`
18×	`add-exp-log_binary64_1822` `pow1_binary64_1804`
11×	`add-cbrt-cube_binary64_1830` `associate-l_binary64_1918`
10×	`cbrt-prod_binary64_1825`
9×	`cbrt-unprod_binary64_1827` `add-cube-cbrt_binary64_1829` `prod-exp_binary64_1809` `pow-prod-down_binary64_1785`
8×	`times-frac_binary64_1853`
7×	`associate-r_binary64_1917`
6×	`associate-*l/_binary64_1920`
4×	`distribute-lft-out--_binary64_1903` `difference-of-squares_binary64_1887` `add-log-exp_binary64_1823`
3×	`associate-*r/_binary64_1919`
2×	`pow1/3_binary64_1796` `frac-sub_binary64_1849` `*-commutative_binary64_1926` `unswap-sqr_binary64_1886` `flip--_binary64_1884` `flip3--_binary64_1857`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
25.0ms	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
34.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(cbrt.f64 x)
86.0ms	(cbrt.f64 x)
129.0ms	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
80.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))

simplify87.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5192	1464

prune357.0ms

Filtered

67 candidates to 91 candidates (-35.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	91	13	104

Merged error: 0.0b

Counts

104 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
7.0b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
7.0b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
7.0b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity_binary64_1858`
107×	`add-sqr-sqrt_binary64_1843`
82×	`cbrt-prod_binary64_1825`
64×	`times-frac_binary64_1853`
36×	`distribute-lft-out--_binary64_1903`
33×	`cbrt-div_binary64_1826`
28×	`difference-of-squares_binary64_1887`
17×	`swap-sqr_binary64_1885`
15×	`add-cube-cbrt_binary64_1829`
13×	`associate-l_binary64_1918` `associate-r_binary64_1917`
11×	`frac-sub_binary64_1849` `pow1_binary64_1804` `flip--_binary64_1884` `flip3--_binary64_1857`
9×	`pow1/3_binary64_1796` `frac-times_binary64_1850`
6×	`add-exp-log_binary64_1822`
4×	`add-cbrt-cube_binary64_1830` `unswap-sqr_binary64_1886` `add-log-exp_binary64_1823`
3×	`associate-l/_binary64_1920` `associate-r/_binary64_1919`
2×	`pow-sqr_binary64_1891` `pow-prod-up_binary64_1784` `pow-prod-down_binary64_1785`
1×	`pow2_binary64_1795` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `pow-plus_binary64_1799`

Counts

4 → 143

Calls

4 calls:

49.0ms	(*.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
20.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
20.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
25.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

series644.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(*.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
146.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
151.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
151.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

simplify108.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5778	5059

prune562.0ms

Filtered

112 candidates to 155 candidates (-38.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	155	13	168

Merged error: 0.0b

Counts

168 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

4.6b	(.f64 x (.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))))
7.0b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
7.0b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
7.0b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

153×	`cbrt-div_binary64_1826`
81×	`frac-times_binary64_1850`
78×	`associate-*r/_binary64_1919`
51×	`frac-sub_binary64_1849` `flip--_binary64_1884` `flip3--_binary64_1857`
44×	`add-sqr-sqrt_binary64_1843`
41×	`*-un-lft-identity_binary64_1858`
30×	`cbrt-prod_binary64_1825`
27×	`associate-*l/_binary64_1920`
24×	`times-frac_binary64_1853`
13×	`add-exp-log_binary64_1822` `pow1_binary64_1804`
12×	`distribute-lft-out--_binary64_1903` `difference-of-squares_binary64_1887`
9×	`add-cbrt-cube_binary64_1830`
8×	`add-cube-cbrt_binary64_1829`
6×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `pow-prod-down_binary64_1785`
4×	`add-log-exp_binary64_1823`
3×	`pow1/3_binary64_1796` `associate-l_binary64_1918`
1×	`-commutative_binary64_1926` `associate-r*_binary64_1917`

Counts

4 → 147

Calls

4 calls:

85.0ms	(.f64 x (.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))))
20.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
20.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
25.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

series524.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(.f64 x (.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))))
148.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
146.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
156.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

simplify95.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5586	6488

prune556.0ms

Filtered

111 candidates to 159 candidates (-43.2%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	2	7	9
Picked	0	1	1
Done	0	3	3
Total	160	12	172

Merged error: 0.0b

Counts

172 → 12

regimes1.1s

Accuracy

66.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 4.8b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	85	76
1	85	76

end0.0ms

sample920.0ms

Algorithm

intervals

Results

307.0ms	8000×	body	80	valid
285.0ms	1821×	body	80	invalid

Details

analyze678.0ms

sample30.0ms

simplify307.0ms

prune13.0ms

localize12.0ms

rewrite55.0ms

series127.0ms

simplify84.0ms

prune394.0ms

localize18.0ms

rewrite64.0ms

series377.0ms

simplify87.0ms

prune357.0ms

localize18.0ms

rewrite123.0ms

series644.0ms

simplify108.0ms

prune562.0ms

localize18.0ms

rewrite161.0ms

series524.0ms

simplify95.0ms

prune556.0ms

regimes1.1s

bsearch1.0ms

simplify4.0ms

end0.0ms

sample920.0ms

Profiling