Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

274×

body

valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
9.0b	(/ x (* (- y z) (- y t)))

rewrite25.0ms

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:

13.0ms	(* (- y z) (- y t))
9.0ms	(/ x (* (- y z) (- y t)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- y z) (- y t))
56.0ms	(/ 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

prune184.0ms

Filtered

91 candidates to 57 candidates (62.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	5	92

Merged error: 0b

Counts

92 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

9.0b	(/ x (* (- y z) (- y t)))
24.3b	(cbrt (/ x (* (- y z) (- y t))))
24.3b	(cbrt (/ x (* (- y z) (- y t))))
24.3b	(cbrt (/ x (* (- y z) (- y t))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
32×	`associate-/r/`
24×	`flip3--` `flip--`
16×	`frac-times`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r/` `associate-l/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

9.0ms	(/ x (* (- y z) (- y t)))
8.0ms	(cbrt (/ x (* (- y z) (- y t))))
8.0ms	(cbrt (/ x (* (- y z) (- y t))))
9.0ms	(cbrt (/ x (* (- y z) (- y t))))

series550.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ x (* (- y z) (- y t)))
166.0ms	(cbrt (/ x (* (- y z) (- y t))))
165.0ms	(cbrt (/ x (* (- y z) (- y t))))
163.0ms	(cbrt (/ x (* (- y z) (- y t))))

simplify41.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	334	1041
1	1113	981
2	5001	975

prune412.0ms

Filtered

121 candidates to 111 candidates (91.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	121	5	126

Merged error: 0b

Counts

126 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
1.7b	(/ (/ 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))

series87.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ x (- y z))
60.0ms	(/ (/ x (- y z)) (- y t))

simplify63.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 1 (14.0ms)

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

prune384.0ms

Filtered

195 candidates to 132 candidates (67.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	196	4	200

Merged error: 0b

Counts

200 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) x)
1.1b	(/ 1 (/ (- y z) x))
1.7b	(/ (/ 1 (/ (- y z) x)) (- y t))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

1054×	`times-frac`
680×	`add-sqr-sqrt` `*-un-lft-identity`
414×	`add-cube-cbrt`
133×	`distribute-lft-out--` `difference-of-squares`
70×	`associate-/l*`
35×	`add-exp-log`
31×	`div-inv`
27×	`associate-/r*`
22×	`div-exp`
19×	`add-cbrt-cube`
10×	`cbrt-undiv`
9×	`associate-/r/`
4×	`pow1` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`flip3--` `flip--`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

3 → 544

Calls

3 calls:

6.0ms	(/ (- y z) x)
8.0ms	(/ 1 (/ (- y z) x))
41.0ms	(/ (/ 1 (/ (- y z) x)) (- y t))

series217.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (- y z) x)
64.0ms	(/ 1 (/ (- y z) x))
127.0ms	(/ (/ 1 (/ (- y z) x)) (- y t))

simplify101.0ms

Algorithm

egg-herbie

Counts

553 → 553

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1772	6479
1	5001	5953

prune857.0ms

Filtered

553 candidates to 285 candidates (51.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	553	0	553
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	553	4	557

Merged error: 0b

Counts

557 → 4

regimes143.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample456.0ms

Algorithm

intervals

Results

243.0ms

8403×

body

valid