Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

394×

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
7.8b	(* (* a z) b)

rewrite57.0ms

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))
38.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
9.0ms	(+ (+ x (* y z)) (* t a))
7.0ms	(* (* a z) b)

series173.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ x (* y z))
81.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
42.0ms	(+ (+ x (* y z)) (* t a))
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

prune179.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt b)
0.5b	(cbrt b)
2.3b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
5.8b	(* (* 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:

0.0ms	(cbrt b)
1.0ms	(cbrt b)
54.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
14.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt b)
173.0ms	(cbrt b)
49.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
98.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify50.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (40.0ms)

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

prune233.0ms

Filtered

86 candidates to 55 candidates (64.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (* z b) t)
0.0b	(+ (+ x (* y z)) (* a (+ (* z b) t)))
3.5b	(* a (+ (* z b) t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

2.0ms	(+ x (* y z))
3.0ms	(+ (* z b) t)
11.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
11.0ms	(* a (+ (* z b) t))

series163.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ x (* y z))
21.0ms	(+ (* z b) t)
80.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
40.0ms	(* a (+ (* z b) t))

simplify51.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	381	497
1	1810	468
2	5001	468

prune410.0ms

Filtered

75 candidates to 58 candidates (77.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* z (+ y (* b a))) x)
0.0b	(+ (+ (* z (+ y (* b a))) x) (* a t))
2.0b	(* z (+ y (* b a)))

rewrite34.0ms

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-+l+` `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:

4.0ms	(+ (* z (+ y (* b a))) x)
21.0ms	(+ (+ (* z (+ y (* b a))) x) (* a t))
7.0ms	(* z (+ y (* b a)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (* z (+ y (* b a))) x)
89.0ms	(+ (+ (* z (+ y (* b a))) x) (* a t))
54.0ms	(* z (+ y (* b a)))

simplify40.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	299	348
1	1242	324
2	5001	324

prune133.0ms

Filtered

57 candidates to 43 candidates (75.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes224.0ms

Accuracy

84% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.6b

bsearch68.0ms

Steps

Iters	Range		Point
8	3.726529467004639e-145	2.4387213658454246e-140	1.4837488646532795e-141
5	-6.844228053762597e+32	-1.8752158006608328e+32	-2.8861777027959232e+32

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	12
1	39	12

end0.0ms

sample810.0ms

Algorithm

intervals

Results

428.0ms

11804×

body

valid