Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

276×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	84	5
3	200	5
4	463	5
5	708	5
6	1261	5
7	1854	5
8	2446	5
9	2811	5
10	2813	5
11	2813	5

prune2.0ms

Filtered

1 candidates to 0 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: 1.5b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
8.4b	(/ x (* (- y z) (- y t)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 85

Calls

2 calls:

9.0ms	(* (- y z) (- y t))
9.0ms	(/ x (* (- y z) (- y t)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (- y z) (- y t))
57.0ms	(/ x (* (- y z) (- y t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	390	703
1	1853	534
2	5003	534

prune152.0ms

Filtered

91 candidates to 57 candidates (62.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	4	92

Merged error: 0.0b

Counts

92 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
1.3b	(/ (/ x (- y z)) (- y t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 189

Calls

2 calls:

5.0ms	(/ x (- y z))
12.0ms	(/ (/ x (- y z)) (- y t))

series86.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ x (- y z))
59.0ms	(/ (/ x (- y z)) (- y t))

simplify66.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	648	1751
1	2335	1707
2	5003	1707

prune353.0ms

Filtered

195 candidates to 132 candidates (67.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	193	2	195
Fresh	0	2	2
Picked	0	1	1
Done	1	0	1
Total	194	5	199

Merged error: 0b

Counts

199 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y t))
2.2b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
52×	`*-un-lft-identity` `times-frac`
30×	`add-cube-cbrt`
26×	`add-exp-log`
21×	`associate-r` `associate-l`
16×	`add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`div-exp`
8×	`prod-exp`
6×	`associate-/r/` `unswap-sqr`
5×	`cbrt-undiv` `associate-/r*`
4×	`pow1` `cbrt-unprod`
3×	`flip3--` `flip--` `div-inv` `associate-/l*`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 113

Calls

2 calls:

5.0ms	(/ x (- y t))
22.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ x (- y t))
125.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	474	736
1	2016	646
2	5001	626

prune213.0ms

Filtered

119 candidates to 82 candidates (68.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Merged error: 0b

Counts

124 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y t))
2.1b	(/ (/ x (- y t)) (- y z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 189

Calls

2 calls:

5.0ms	(/ x (- y t))
12.0ms	(/ (/ x (- y t)) (- y z))

series86.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ x (- y t))
55.0ms	(/ (/ x (- y t)) (- y z))

simplify65.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	648	1751
1	2335	1707
2	5003	1707

prune380.0ms

Filtered

195 candidates to 133 candidates (68.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	195	5	200

Merged error: 0b

Counts

200 → 5

regimes84.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5

end0.0ms

sample487.0ms

Algorithm

intervals

Results

279.0ms

8423×

body

valid

Details

sample19.0ms

simplify78.0ms

prune2.0ms

localize10.0ms

rewrite21.0ms

series83.0ms

simplify54.0ms

prune152.0ms

localize8.0ms

rewrite27.0ms

series86.0ms

simplify66.0ms

prune353.0ms

localize9.0ms

rewrite31.0ms

series155.0ms

simplify53.0ms

prune213.0ms

localize8.0ms

rewrite31.0ms

series86.0ms

simplify65.0ms

prune380.0ms

regimes84.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample487.0ms

Profiling