Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

381×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.2b	(* (* a z) b)

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

21.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(+ x (* y z))
85.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
17.0ms	(* (* a z) b)

series155.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (+ x (* y z)) (* t a))
23.0ms	(+ x (* y z))
69.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
24.0ms	(* (* a z) b)

simplify46.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	335	378
1	1670	347
2	5002	342

prune162.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt b)
0.5b	(cbrt b)
1.3b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.0b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
105.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
32.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt b)
166.0ms	(cbrt b)
43.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
92.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify48.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	258	535
1	1318	385
2	5001	337

prune222.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt b)
1.3b	(* (* (* (* a z) (cbrt b)) (cbrt b)) (cbrt b))
1.6b	(* (* (* a z) (cbrt b)) (cbrt b))
1.6b	(* (* a z) (cbrt b))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`associate-r`
16×	`add-cbrt-cube`
12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`associate-l` `*-commutative`
1×	`pow1/3`

Counts

4 → 83

Calls

4 calls:

1.0ms	(cbrt b)
196.0ms	(* (* (* (* a z) (cbrt b)) (cbrt b)) (cbrt b))
58.0ms	(* (* (* a z) (cbrt b)) (cbrt b))
18.0ms	(* (* a z) (cbrt b))

series375.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt b)
44.0ms	(* (* (* (* a z) (cbrt b)) (cbrt b)) (cbrt b))
95.0ms	(* (* (* a z) (cbrt b)) (cbrt b))
72.0ms	(* (* a z) (cbrt b))

simplify54.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	298	561
1	1687	453
2	5001	409

prune248.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.6b	(* (* a z) (cbrt b))
11.3b	(cbrt (* (* (* a z) (cbrt b)) (cbrt b)))
11.3b	(cbrt (* (* (* a z) (cbrt b)) (cbrt b)))
11.3b	(cbrt (* (* (* a z) (cbrt b)) (cbrt b)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log`
7×	`add-cbrt-cube`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 48

Calls

4 calls:

19.0ms	(* (* a z) (cbrt b))
49.0ms	(cbrt (* (* (* a z) (cbrt b)) (cbrt b)))
49.0ms	(cbrt (* (* (* a z) (cbrt b)) (cbrt b)))
50.0ms	(cbrt (* (* (* a z) (cbrt b)) (cbrt b)))

series591.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (* a z) (cbrt b))
173.0ms	(cbrt (* (* (* a z) (cbrt b)) (cbrt b)))
169.0ms	(cbrt (* (* (* a z) (cbrt b)) (cbrt b)))
176.0ms	(cbrt (* (* (* a z) (cbrt b)) (cbrt b)))

simplify122.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	220	426
1	842	376
2	4526	353
3	5002	353

prune273.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes228.0ms

Accuracy

84.5% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.2b

bsearch88.0ms

Steps

Iters	Range		Point
7	4.2135559101131313e+40	1.1900131398479925e+42	4.254158530790404e+40
9	-6.37384472825906e+54	-3.228108161504995e+45	-6.015094620886468e+50

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms

sample955.0ms

Algorithm

intervals

Results

390.0ms

11873×

body

valid