Details

analyze948.0ms

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample30.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
1.0ms	20×	body	80	invalid

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4786	11
1	4786	11

prune4.0ms

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: 12.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
0.0b	(*.f64 (-.f64 y z) t)
12.5b	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-l*_binary64` `times-frac_binary64`
4×	`associate-*l/_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 63

Calls

3 calls:

8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
7.0ms	(*.f64 (-.f64 y z) t)
10.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

series61.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
11.0ms	(*.f64 (-.f64 y z) t)
19.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5590	683

prune94.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	7	73

Merged error: 0.0b

Counts

73 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
0.0b	(/.f64 t (-.f64 a z))
10.3b	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-l*_binary64`
4×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 94

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
6.0ms	(/.f64 t (-.f64 a z))
14.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

series59.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
8.0ms	(/.f64 t (-.f64 a z))
18.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4972	1059
1	4972	1059

prune100.0ms

Filtered

74 candidates to 103 candidates (-39.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Merged error: 0b

Counts

110 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 a z))
0.6b	(cbrt.f64 (-.f64 a z))
0.6b	(cbrt.f64 (-.f64 a z))
4.4b	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 t (cbrt.f64 (-.f64 a z))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64`
32×	`cbrt-prod_binary64`
30×	`associate-r_binary64`
25×	`add-exp-log_binary64`
24×	`add-cube-cbrt_binary64`
20×	`cbrt-div_binary64`
18×	`add-cbrt-cube_binary64`
17×	`associate-l_binary64`
10×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64`
5×	`frac-times_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r/_binary64` `pow1/3_binary64` `associate-l/_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 122

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 a z))
3.0ms	(cbrt.f64 (-.f64 a z))
3.0ms	(cbrt.f64 (-.f64 a z))
31.0ms	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 t (cbrt.f64 (-.f64 a z))))

series109.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt.f64 (-.f64 a z))
27.0ms	(cbrt.f64 (-.f64 a z))
27.0ms	(cbrt.f64 (-.f64 a z))
27.0ms	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 t (cbrt.f64 (-.f64 a z))))

simplify48.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5572	1901

prune126.0ms

Filtered

108 candidates to 134 candidates (-24.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	135	7	142

Merged error: 0b

Counts

142 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (pow.f64 (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t) 1))
0.0b	(/.f64 (-.f64 y z) (-.f64 a z))
1.6b	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64`
73×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-l_binary64`
27×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
4×	`associate-/r/_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 114

Calls

3 calls:

5.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t) 1))
9.0ms	(/.f64 (-.f64 y z) (-.f64 a z))
16.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t)

series69.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t) 1))
11.0ms	(/.f64 (-.f64 y z) (-.f64 a z))
26.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t)

simplify42.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5032	1389

prune88.0ms

Filtered

85 candidates to 123 candidates (-44.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	124	6	130

Merged error: 0b

Counts

130 → 6

regimes354.0ms

Accuracy

9.4% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.4b

bsearch30.0ms

Steps

Iters	Range		Point
7	121791759275.7593	4776541126796.931	128923762327.44762
7	-1.2048579292101348e-301	-4.861867457427471e-303	-5.212099959314552e-302

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	47
1	54	47

end0.0ms

sample582.0ms

Algorithm

intervals

Results

301.0ms	7999×	body	80	valid
24.0ms	695×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze948.0ms

sample30.0ms

simplify149.0ms

prune4.0ms

localize9.0ms

rewrite28.0ms

series61.0ms

simplify44.0ms

prune94.0ms

localize8.0ms

rewrite27.0ms

series59.0ms

simplify67.0ms

prune100.0ms

localize12.0ms

rewrite49.0ms

series109.0ms

simplify48.0ms

prune126.0ms

localize9.0ms

rewrite34.0ms

series69.0ms

simplify42.0ms

prune88.0ms

regimes354.0ms

bsearch30.0ms

simplify2.0ms

end0.0ms

sample582.0ms

Profiling