Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

sample45.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
7.0ms	142×	body	80	invalid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	938	25
1	938	25

prune2.0ms

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: 0.3b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.2b	(/.f64 (*.f64 z t) 16)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
13×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64` `sum-log_binary64`
4×	`pow1_binary64` `diff-log_binary64`
3×	`flip3-+_binary64` `associate-/r*_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-+l+_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `+-commutative_binary64` `frac-sub_binary64` `associate--l+_binary64`
1×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-+l-_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`

Counts

4 → 67

Calls

4 calls:

10.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
10.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
13.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
5.0ms	(/.f64 (*.f64 z t) 16)

series280.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
40.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
142.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
17.0ms	(/.f64 (*.f64 z t) 16)

simplify69.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4973	1747
1	4973	1747

prune73.0ms

Filtered

60 candidates to 79 candidates (-31.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	3	80

Merged error: 0.0b

Counts

80 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
0.0b	(+.f64 (.f64 x y) (.f64 z (/.f64 t 16)))
0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64`
6×	`sum-log_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`diff-log_binary64`
3×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `frac-sub_binary64` `associate--l+_binary64`
1×	`flip3--_binary64` `associate-+l-_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

3 → 46

Calls

3 calls:

10.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
4.0ms	(+.f64 (.f64 x y) (.f64 z (/.f64 t 16)))
12.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)

series269.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
46.0ms	(+.f64 (.f64 x y) (.f64 z (/.f64 t 16)))
139.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)

simplify67.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5098	1542

prune49.0ms

Filtered

44 candidates to 55 candidates (-25.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4))))
0.8b	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
0.8b	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
0.8b	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div_binary64`
43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
26×	`frac-sub_binary64`
16×	`frac-times_binary64`
15×	`add-cube-cbrt_binary64`
13×	`flip3-+_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`pow1/3_binary64` `distribute-lft-out--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `associate-l/_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 123

Calls

4 calls:

26.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4))))
10.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
11.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
11.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))

series1.2s

Counts

4 → 12

Calls

4 calls:

509.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4))))
256.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
226.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
230.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))

simplify108.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4943	7430
1	4943	7430

prune285.0ms

Filtered

101 candidates to 135 candidates (-33.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	134	4	138

Merged error: 0.0b

Counts

138 → 4

localize31.0ms

Local error

Found 4 expressions with local error:

1.9b	(cbrt.f64 (.f64 4 (-.f64 (/.f64 (.f64 z t) 16) (*.f64 x y))))
10.3b	(/.f64 (.f64 (cbrt.f64 (.f64 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (-.f64 (.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) 4) (.f64 a b)))) (cbrt.f64 (.f64 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (-.f64 (.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) 4) (.f64 a b))))) (.f64 (cbrt.f64 (.f64 4 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))) (cbrt.f64 (.f64 4 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y))))))
24.2b	(cbrt.f64 (.f64 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (-.f64 (.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) 4) (*.f64 a b))))
24.2b	(cbrt.f64 (.f64 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (-.f64 (.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) 4) (*.f64 a b))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

174×	`cbrt-div_binary64`
148×	`frac-times_binary64`
127×	`flip3--_binary64` `flip--_binary64`
80×	`associate-/l/_binary64`
64×	`associate-*r/_binary64`
50×	`associate-*l/_binary64`
16×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64` `div-exp_binary64`
3×	`pow1/3_binary64` `cbrt-prod_binary64`
1×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 154

Calls

4 calls:

7.0ms	(cbrt.f64 (.f64 4 (-.f64 (/.f64 (.f64 z t) 16) (*.f64 x y))))
28.0ms	(/.f64 (.f64 (cbrt.f64 (.f64 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (-.f64 (.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) 4) (.f64 a b)))) (cbrt.f64 (.f64 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (-.f64 (.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) 4) (.f64 a b))))) (.f64 (cbrt.f64 (.f64 4 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))) (cbrt.f64 (.f64 4 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y))))))
16.0ms	(cbrt.f64 (.f64 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (-.f64 (.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) 4) (*.f64 a b))))
18.0ms	(cbrt.f64 (.f64 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (-.f64 (.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) 4) (*.f64 a b))))

series1.7s

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt.f64 (.f64 4 (-.f64 (/.f64 (.f64 z t) 16) (*.f64 x y))))
731.0ms	(/.f64 (.f64 (cbrt.f64 (.f64 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (-.f64 (.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) 4) (.f64 a b)))) (cbrt.f64 (.f64 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (-.f64 (.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) 4) (.f64 a b))))) (.f64 (cbrt.f64 (.f64 4 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))) (cbrt.f64 (.f64 4 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y))))))
396.0ms	(cbrt.f64 (.f64 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (-.f64 (.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) 4) (*.f64 a b))))
400.0ms	(cbrt.f64 (.f64 (-.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (-.f64 (.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) 4) (*.f64 a b))))

simplify160.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5382	16189

prune1.1s

Filtered

154 candidates to 166 candidates (-7.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	166	4	170

Merged error: 0.0b

Counts

170 → 4

regimes214.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	25
1	56	25

end0.0ms

sample1.2s

Algorithm

intervals

Results

462.0ms	8000×	body	80	valid
213.0ms	3828×	body	80	invalid

Details

analyze1.5s

sample45.0ms

simplify72.0ms

prune2.0ms

localize13.0ms

rewrite39.0ms

series280.0ms

simplify69.0ms

prune73.0ms

localize12.0ms

rewrite27.0ms

series269.0ms

simplify67.0ms

prune49.0ms

localize23.0ms

rewrite64.0ms

series1.2s

simplify108.0ms

prune285.0ms

localize31.0ms

rewrite85.0ms

series1.7s

simplify160.0ms

prune1.1s

regimes214.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.2s

Profiling