Details

analyze842.0ms

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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

sample27.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	91×	body	80	invalid

simplify273.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (270.0ms)

Iter	Nodes	Cost
0	4823	11
1	4823	11

prune12.0ms

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: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
0.2b	(.f64 (.f64 z 3) y)
0.2b	(/.f64 y (*.f64 z 3))
9.3b	(/.f64 t (.f64 (.f64 z 3) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64` `times-frac_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64`
2×	`associate-/r*_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

6.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
5.0ms	(.f64 (.f64 z 3) y)
5.0ms	(/.f64 y (*.f64 z 3))
7.0ms	(/.f64 t (.f64 (.f64 z 3) y))

series21.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
4.0ms	(.f64 (.f64 z 3) y)
3.0ms	(/.f64 y (*.f64 z 3))
7.0ms	(/.f64 t (.f64 (.f64 z 3) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4934	656
1	4934	656

prune67.0ms

Filtered

56 candidates to 87 candidates (-55.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
0.2b	(/.f64 t (*.f64 z 3))
0.2b	(/.f64 y (*.f64 z 3))
3.9b	(/.f64 (/.f64 t (*.f64 z 3)) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac_binary64`
26×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-/l*_binary64`
9×	`cbrt-undiv_binary64` `div-exp_binary64`
7×	`div-inv_binary64`
6×	`add-log-exp_binary64`
5×	`associate-/r*_binary64`
4×	`pow1_binary64`
3×	`cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 103

Calls

4 calls:

6.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
5.0ms	(/.f64 t (*.f64 z 3))
5.0ms	(/.f64 y (*.f64 z 3))
7.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)

series21.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
3.0ms	(/.f64 t (*.f64 z 3))
4.0ms	(/.f64 y (*.f64 z 3))
7.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)

simplify46.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4956	1014
1	4956	1014

prune75.0ms

Filtered

81 candidates to 115 candidates (-42.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	114	7	121

Merged error: 0b

Counts

121 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
0.2b	(/.f64 y (*.f64 z 3))
0.3b	(*.f64 (/.f64 t z) -1/3)
3.9b	(/.f64 (*.f64 (/.f64 t z) -1/3) (neg.f64 y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
22×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
13×	`associate-l_binary64`
11×	`associate-/r*_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-/l*_binary64`
3×	`associate-r_binary64` `div-inv_binary64`
2×	`neg-mul-1_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

6.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
5.0ms	(/.f64 y (*.f64 z 3))
7.0ms	(*.f64 (/.f64 t z) -1/3)
11.0ms	(/.f64 (*.f64 (/.f64 t z) -1/3) (neg.f64 y))

series20.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
3.0ms	(/.f64 y (*.f64 z 3))
3.0ms	(*.f64 (/.f64 t z) -1/3)
6.0ms	(/.f64 (*.f64 (/.f64 t z) -1/3) (neg.f64 y))

simplify47.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4898	888
1	4898	888

prune71.0ms

Filtered

81 candidates to 116 candidates (-43.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	116	7	123

Merged error: 0b

Counts

123 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
0.2b	(/.f64 y (*.f64 z 3))
0.3b	(.f64 z (.f64 3 y))
9.3b	(/.f64 t (.f64 z (.f64 3 y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64` `times-frac_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `associate-l_binary64`
2×	`associate-/r*_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

6.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
5.0ms	(/.f64 y (*.f64 z 3))
5.0ms	(.f64 z (.f64 3 y))
6.0ms	(/.f64 t (.f64 z (.f64 3 y)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
3.0ms	(/.f64 y (*.f64 z 3))
4.0ms	(.f64 z (.f64 3 y))
6.0ms	(/.f64 t (.f64 z (.f64 3 y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4957	655
1	4957	655

prune38.0ms

Filtered

55 candidates to 87 candidates (-58.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	87	7	94

Merged error: 0b

Counts

94 → 7

regimes247.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample778.0ms

Algorithm

intervals

Results

349.0ms	8000×	body	80	valid
141.0ms	2996×	body	80	invalid

Details

analyze842.0ms

sample27.0ms

simplify273.0ms

prune12.0ms

localize9.0ms

rewrite25.0ms

series21.0ms

simplify46.0ms

prune67.0ms

localize9.0ms

rewrite26.0ms

series21.0ms

simplify46.0ms

prune75.0ms

localize11.0ms

rewrite31.0ms

series20.0ms

simplify47.0ms

prune71.0ms

localize10.0ms

rewrite24.0ms

series21.0ms

simplify46.0ms

prune38.0ms

regimes247.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample778.0ms

Profiling