Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

391×

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))))
1.5b	(* a (+ t (* z b)))

rewrite19.0ms

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:

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

series227.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ t (* z b))
61.0ms	(+ x (* a (+ t (* z b))))
83.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
55.0ms	(* a (+ t (* z b)))

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (9.0ms)

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

prune176.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
2.0b	(cbrt (+ t (* z b)))
2.0b	(cbrt (+ t (* z b)))
2.0b	(cbrt (+ t (* z b)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

14.0ms	(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
2.0ms	(cbrt (+ t (* z b)))
2.0ms	(cbrt (+ t (* z b)))
2.0ms	(cbrt (+ t (* z b)))

series439.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
116.0ms	(cbrt (+ t (* z b)))
119.0ms	(cbrt (+ t (* z b)))
107.0ms	(cbrt (+ t (* z b)))

simplify132.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	303	872
1	1042	820
2	4602	751
3	5001	740

prune352.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

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))
5.2b	(* (* 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:

38.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
9.0ms	(+ (+ x (* y z)) (* t a))
6.0ms	(* (* a z) b)

series183.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
23.0ms	(+ x (* y z))
44.0ms	(+ (+ x (* y z)) (* t a))
25.0ms	(* (* a z) b)

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (43.0ms)

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

prune175.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y z) (* y z))
2.8b	(- (* x x) (* (* y z) (* y z)))
5.2b	(* (* a z) b)
25.8b	(/ (- (* x x) (* (* y z) (* y z))) (- x (* y z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`associate-r` `pow-sqr` `pow-prod-up` `associate-/l*`
3×	`flip3--` `associate-/r*` `flip--`
2×	`pow-plus` `associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `clear-num` `div-inv`

Counts

4 → 101

Calls

4 calls:

9.0ms	(* (* y z) (* y z))
3.0ms	(- (* x x) (* (* y z) (* y z)))
6.0ms	(* (* a z) b)
10.0ms	(/ (- (* x x) (* (* y z) (* y z))) (- x (* y z)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* y z) (* y z))
79.0ms	(- (* x x) (* (* y z) (* y z)))
26.0ms	(* (* a z) b)
67.0ms	(/ (- (* x x) (* (* y z) (* y z))) (- x (* y z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	422	744
1	2262	630
2	5001	617

prune245.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes285.0ms

Accuracy

89.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.9b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	27
1	39	27

end0.0ms

sample829.0ms

Algorithm

intervals

Results

417.0ms

11857×

body

valid