Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

364×

body

valid

simplify13.0ms

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
3.6b	(* (* a z) b)

rewrite63.0ms

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:

2.0ms	(+ x (* y z))
10.0ms	(+ (+ x (* y z)) (* t a))
42.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
8.0ms	(* (* a z) b)

series177.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ x (* y z))
47.0ms	(+ (+ x (* y z)) (* t a))
80.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms	(* (* a z) b)

simplify52.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (47.0ms)

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

prune186.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.3b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
2.6b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite72.0ms

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)
54.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
15.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series502.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt b)
176.0ms	(cbrt b)
43.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
101.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify50.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (44.0ms)

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

prune262.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.7b	(* (* (* a z) (cbrt b)) (cbrt b))
1.3b	(* (* (* (* a z) (cbrt b)) (cbrt b)) (cbrt b))
2.1b	(* (* a z) (cbrt b))

rewrite129.0ms

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)
25.0ms	(* (* (* a z) (cbrt b)) (cbrt b))
93.0ms	(* (* (* (* a z) (cbrt b)) (cbrt b)) (cbrt b))
8.0ms	(* (* a z) (cbrt b))

series401.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt b)
101.0ms	(* (* (* a z) (cbrt b)) (cbrt b))
49.0ms	(* (* (* (* a z) (cbrt b)) (cbrt b)) (cbrt b))
76.0ms	(* (* a z) (cbrt b))

simplify52.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	298	561
1	1695	453
2	5001	409

prune285.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (* a z) b)
13.0b	(cbrt (* (* a z) b))
13.0b	(cbrt (* (* a z) b))
13.0b	(cbrt (* (* a z) b))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

7.0ms	(* (* a z) b)
5.0ms	(cbrt (* (* a z) b))
5.0ms	(cbrt (* (* a z) b))
5.0ms	(cbrt (* (* a z) b))

series306.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* a z) b)
96.0ms	(cbrt (* (* a z) b))
93.0ms	(cbrt (* (* a z) b))
92.0ms	(cbrt (* (* a z) b))

simplify76.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	181	286
1	716	238
2	3196	229
3	5001	210

prune221.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes298.0ms

Accuracy

45.9% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.0b

bsearch45.0ms

Steps

Iters	Range		Point
8	6.445869666202103e-13	4.896495915127463e-10	2.042851256725408e-11

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	15
1	33	15

end0.0ms

sample802.0ms

Algorithm

intervals

Results

415.0ms

11837×

body

valid