Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

378×

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

prune6.0ms

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)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
4.6b	(* (* a z) b)

rewrite21.0ms

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:

5.0ms	(+ (+ x (* y z)) (* t a))
8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
3.0ms	(+ x (* y z))
5.0ms	(* (* a z) b)

series169.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (+ x (* y z)) (* t a))
78.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
23.0ms	(+ x (* y z))
25.0ms	(* (* 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

prune169.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.1b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.8b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite25.0ms

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:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
12.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
9.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series481.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt b)
166.0ms	(cbrt b)
45.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
98.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify48.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (42.0ms)

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

prune238.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z b) t)
0.0b	(+ (+ x (* y z)) (* a (+ (* z b) t)))
0.0b	(+ x (* y z))
3.0b	(* a (+ (* z b) t))

rewrite19.0ms

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:

4.0ms	(+ (* z b) t)
6.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
2.0ms	(+ x (* y z))
6.0ms	(* a (+ (* z b) t))

series161.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* z b) t)
79.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
25.0ms	(+ x (* y z))
36.0ms	(* 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

prune197.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* y z)))
0.6b	(cbrt (+ x (* y z)))
0.6b	(cbrt (+ x (* y z)))
4.6b	(* (* a z) b)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`add-log-exp`
3×	`flip3-+` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
1×	`associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

2.0ms	(cbrt (+ x (* y z)))
2.0ms	(cbrt (+ x (* y z)))
2.0ms	(cbrt (+ x (* y z)))
5.0ms	(* (* a z) b)

series339.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (+ x (* y z)))
104.0ms	(cbrt (+ x (* y z)))
104.0ms	(cbrt (+ x (* y z)))
27.0ms	(* (* a z) b)

simplify116.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	261	433
1	917	394
2	4528	373
3	5001	364

prune329.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes225.0ms

Accuracy

60.6% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.4b

bsearch84.0ms

Steps

Iters	Range		Point
6	1.2219014593692723e-69	1.4204298954588733e-68	6.573917049241928e-69
8	-7.418734634745243e-174	-2.0391502145909953e-178	-7.2988430988256025e-174

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	18
1	41	18

end0.0ms

sample867.0ms

Algorithm

intervals

Results

464.0ms

11729×

body

valid