Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

326×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2482	4
11	3774	4
12	5002	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.8b	(* (- y x) (/ z t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

2.0ms	(+ x (* (- y x) (/ z t)))
14.0ms	(* (- y x) (/ z t))

series77.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* (- y x) (/ z t)))
44.0ms	(* (- y x) (/ z t))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune120.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
2.6b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
0.0ms	(cbrt t)
27.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series644.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt t)
178.0ms	(cbrt t)
175.0ms	(cbrt t)
119.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify52.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	385	599
1	1673	477
2	5002	438

prune252.0ms

Filtered

81 candidates to 62 candidates (76.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
2.6b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
0.0ms	(cbrt t)
30.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series655.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt t)
184.0ms	(cbrt t)
175.0ms	(cbrt t)
119.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify49.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	385	599
1	1673	477
2	5002	438

prune296.0ms

Filtered

81 candidates to 62 candidates (76.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* (- y x) (/ z t))))
5.8b	(* (- y x) (/ z t))
5.8b	(* (- y x) (/ z t))
5.8b	(* (- y x) (/ z t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
39×	`associate-r`
35×	`*-un-lft-identity`
30×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
10×	`pow1`
6×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 127

Calls

4 calls:

2.0ms	(cbrt (+ x (* (- y x) (/ z t))))
15.0ms	(* (- y x) (/ z t))
17.0ms	(* (- y x) (/ z t))
15.0ms	(* (- y x) (/ z t))

series335.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt (+ x (* (- y x) (/ z t))))
42.0ms	(* (- y x) (/ z t))
45.0ms	(* (- y x) (/ z t))
42.0ms	(* (- y x) (/ z t))

simplify42.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	347	786
1	1362	733
2	5002	712

prune565.0ms

Filtered

139 candidates to 101 candidates (72.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes225.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

sample547.0ms

Algorithm

intervals

Results

286.0ms

10621×

body

valid