Details

sample48.0ms

Algorithm

intervals

Results

30.0ms

398×

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y z) (+ x (* a (+ t (* z b)))))
0.0b	(+ t (* z b))
2.4b	(* a (+ t (* z b)))

rewrite19.0ms

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×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `associate-*r/`
1×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 46

Calls

3 calls:

9.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
2.0ms	(+ t (* z b))
7.0ms	(* a (+ t (* z b)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
28.0ms	(+ t (* z b))
53.0ms	(* a (+ t (* z b)))

simplify40.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	273	310
1	1168	276
2	5002	276

prune144.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`sum-log`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `associate-r` `*-commutative` `distribute-lft-out`

Counts

3 → 44

Calls

3 calls:

19.0ms	(+ (* y z) (+ x (+ (* a t) (* a (* z b)))))
3.0ms	(+ (* a t) (* a (* z b)))
6.0ms	(* a (* z b))

series173.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (* y z) (+ x (+ (* a t) (* a (* z b)))))
61.0ms	(+ (* a t) (* a (* z b)))
25.0ms	(* a (* z b))

simplify40.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	287	321
1	1178	279
2	5002	277

prune133.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))
6.5b	(* (* a z) b)

rewrite56.0ms

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))
9.0ms	(+ (+ x (* y z)) (* t a))
37.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.0ms	(* (* a z) b)

series177.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ x (* y z))
44.0ms	(+ (+ x (* y z)) (* t a))
81.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
28.0ms	(* (* a z) b)

simplify46.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (41.0ms)

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

prune174.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
0.8b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
5.8b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite68.0ms

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)
51.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
13.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series488.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt b)
171.0ms	(cbrt b)
48.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
98.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify51.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (40.0ms)

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

prune215.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes287.0ms

Accuracy

73.9% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	28
1	41	28
2	41	28

end0.0ms

sample1.3s

Algorithm

intervals

Results

931.0ms

11880×

body

valid