Details

sample47.0ms

Algorithm

intervals

Results

29.0ms

385×

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)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
6.0b	(* (* a z) b)

rewrite61.0ms

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:

38.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
12.0ms	(+ (+ x (* y z)) (* t a))
7.0ms	(* (* a z) b)

series182.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
24.0ms	(+ x (* y z))
48.0ms	(+ (+ x (* y z)) (* t a))
26.0ms	(* (* a z) b)

simplify51.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (46.0ms)

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

prune186.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.7b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.5b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite70.0ms

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:

0.0ms	(cbrt b)
0.0ms	(cbrt b)
53.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
14.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series513.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt b)
181.0ms	(cbrt b)
45.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
102.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify55.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (49.0ms)

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

prune247.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* a z) (* (cbrt b) (cbrt b)))
12.2b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
12.2b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
12.2b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 49

Calls

4 calls:

14.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
15.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
12.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
12.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

series656.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
185.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
183.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
183.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

simplify93.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	223	495
1	798	417
2	3718	396
3	5002	388

prune278.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y z) (+ x (* a (+ t (* z b)))))
0.0b	(+ x (* a (+ t (* z b))))
3.2b	(* a (+ t (* z b)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-+r+` `flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 48

Calls

3 calls:

6.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
2.0ms	(+ x (* a (+ t (* z b))))
7.0ms	(* a (+ t (* z b)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
71.0ms	(+ x (* a (+ t (* z b))))
59.0ms	(* a (+ t (* z b)))

simplify46.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	303	338
1	1297	314
2	5001	314

prune140.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes308.0ms

Accuracy

81.2% (0.4b remaining)

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

bsearch125.0ms

Steps

Iters	Range		Point
8	4.172862370448548e-98	8.197812324294091e-94	6.88839383543892e-97
9	-1.2043946708409391e-21	-1.899531447408592e-27	-1.5656882537480322e-24

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	18
1	43	18

end0.0ms

sample1.3s

Algorithm

intervals

Results

912.0ms

11709×

body

valid