Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample54.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
10.0ms	196×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	66	15
1	66	15

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: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
10×	`sum-log_binary64`
3×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
2×	`associate-+l+_binary64`

Counts

3 → 38

Calls

3 calls:

10.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
5.0ms	(+.f64 (.f64 x y) (.f64 z t))

series341.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
223.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
11.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify50.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4895	677
1	4895	677

prune28.0ms

Filtered

36 candidates to 47 candidates (-30.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	2	48

Merged error: 0.0b

Counts

48 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))
0.3b	(.f64 (.f64 c i) (*.f64 c i))
5.2b	(-.f64 (.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))) (.f64 (.f64 c i) (.f64 c i)))
34.3b	(/.f64 (-.f64 (.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))) (.f64 (.f64 c i) (.f64 c i))) (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`add-sqr-sqrt_binary64`
18×	`pow-prod-down_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`times-frac_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
5×	`pow-prod-up_binary64` `difference-of-squares_binary64` `pow-sqr_binary64`
4×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l*_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `flip3--_binary64` `pow-plus_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-r/_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `pow2_binary64` `associate--l+_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 119

Calls

4 calls:

15.0ms	(.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))
7.0ms	(.f64 (.f64 c i) (*.f64 c i))
16.0ms	(-.f64 (.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))) (.f64 (.f64 c i) (.f64 c i)))
29.0ms	(/.f64 (-.f64 (.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))) (.f64 (.f64 c i) (.f64 c i))) (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))

series1.7min

Counts

4 → 12

Calls

4 calls:

157.0ms	(.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))
8.0ms	(.f64 (.f64 c i) (*.f64 c i))
1.7min	(-.f64 (.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))) (.f64 (.f64 c i) (.f64 c i)))
345.0ms	(/.f64 (-.f64 (.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))) (.f64 (.f64 c i) (.f64 c i))) (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))

simplify42.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5165	3042

prune62.0ms

Filtered

83 candidates to 131 candidates (-57.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	130	3	133

Merged error: 0.0b

Counts

133 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))
0.5b	(cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))
0.5b	(cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))
0.5b	(.f64 (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))) (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (*.f64 c i))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

10.0ms	(cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))
9.0ms	(cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))
11.0ms	(cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))
22.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))) (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (*.f64 c i))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))
54.0ms	(cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))
53.0ms	(cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))
82.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))) (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (*.f64 c i))))

simplify57.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4892	2551
1	4892	2551

prune75.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	97	5	102

Merged error: 0b

Counts

102 → 5

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))
0.5b	(pow.f64 (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))) 2)
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))) 2))
0.6b	(cbrt.f64 (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`unpow-prod-down_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`flip3--_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `flip--_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 70

Calls

4 calls:

9.0ms	(cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))
14.0ms	(pow.f64 (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))) 2)
11.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))) 2))
10.0ms	(cbrt.f64 (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))))

series264.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i)))
76.0ms	(pow.f64 (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))) 2)
80.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))) 2))
54.0ms	(cbrt.f64 (cbrt.f64 (-.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))))

simplify53.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5048	1801

prune63.0ms

Filtered

69 candidates to 82 candidates (-18.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	82	5	87

Merged error: 0b

Counts

87 → 5

regimes1.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

429.0ms	8000×	body	80	valid
301.0ms	5641×	body	80	invalid

Details

analyze1.5s

sample54.0ms

simplify6.0ms

prune4.0ms

localize12.0ms

rewrite23.0ms

series341.0ms

simplify50.0ms

prune28.0ms

localize16.0ms

rewrite71.0ms

series1.7min

simplify42.0ms

prune62.0ms

localize21.0ms

rewrite55.0ms

series243.0ms

simplify57.0ms

prune75.0ms

localize28.0ms

rewrite46.0ms

series264.0ms

simplify53.0ms

prune63.0ms

regimes1.1s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling