Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

389×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ t (* z b))
0.0b	(+ x (* a (+ t (* z b))))
0.0b	(+ (* y z) (+ x (* a (+ t (* z b)))))
1.7b	(* a (+ t (* z b)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

3.0ms	(+ t (* z b))
3.0ms	(+ x (* a (+ t (* z b))))
5.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
5.0ms	(* a (+ t (* z b)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ t (* z b))
64.0ms	(+ x (* a (+ t (* z b))))
85.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
54.0ms	(* a (+ t (* z b)))

simplify46.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	325	392
1	1353	363
2	5001	363

prune172.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.3b	(* (* a z) b)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-log-exp`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sum-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `associate-+l+` `flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

2 → 32

Calls

2 calls:

8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(* (* a z) b)

series102.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
27.0ms	(* (* a z) b)

simplify37.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	213	236
1	1068	205
2	5002	204

prune83.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
1.0b	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
1.2b	(* (cbrt a) (+ t (* z b)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
11.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
6.0ms	(* (cbrt a) (+ t (* z b)))

series669.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt a)
178.0ms	(cbrt a)
83.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
217.0ms	(* (cbrt a) (+ t (* z b)))

simplify52.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	334	575
1	1541	439
2	5001	392

prune226.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes157.0ms

Accuracy

16.3% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.8b

bsearch51.0ms

Steps

Iters	Range		Point
9	-4.440521994170248e-97	-1.137423628053938e-105	-4.2444358340416075e-97

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	13
1	33	13

end0.0ms

sample847.0ms

Algorithm

intervals

Results

468.0ms

11767×

body

valid