Details

Time bar (total: 2.9s)

sample19.0ms

Algorithm
intervals
Results
7.0ms332×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3514
4584
5644
6814
71124
81594
92734
103704
114284
124504
134654
144654

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x 1.0) z)
0.0b
(+ (* x y) (* (- x 1.0) z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
24.0ms
(* (- x 1.0) z)
9.0ms
(+ (* x y) (* (- x 1.0) z))

series54.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (- x 1.0) z)
28.0ms
(+ (* x y) (* (- x 1.0) z))

simplify101.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0187183
1775166
24041166
35001166

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
4.5b
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))
4.5b
(* (- (* x x) (* 1.0 1.0)) z)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*l* associate-*l/ associate-/r*
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/ distribute-lft-out
1×+-commutative frac-2neg pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
20.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
26.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))
26.0ms
(* (- (* x x) (* 1.0 1.0)) z)

series144.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
51.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))
41.0ms
(* (- (* x x) (* 1.0 1.0)) z)

simplify54.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0370531
11765466
25002457

prune146.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
3.0b
(* (/ (- (* x x) (* 1.0 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ z (cbrt (+ x 1.0))))
4.7b
(/ (- (* x x) (* 1.0 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
36×times-frac
34×*-un-lft-identity
30×add-exp-log cbrt-div
27×associate-*r*
24×add-cube-cbrt
22×cbrt-prod
21×add-cbrt-cube
18×associate-/r/
16×associate-*l*
15×flip3-+ flip-+
9×cbrt-undiv frac-times div-exp prod-exp cbrt-unprod
6×pow1 unswap-sqr
5×associate-*r/ associate-*l/ distribute-lft-out
4×associate-/l* add-log-exp
3×div-inv difference-of-squares
2×pow1/3 associate-/l/
1×flip3-- frac-2neg div-sub pow-prod-down clear-num associate-/r* *-commutative flip--
Counts
4 → 135
Calls
4 calls:
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
101.0ms
(* (/ (- (* x x) (* 1.0 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ z (cbrt (+ x 1.0))))
33.0ms
(/ (- (* x x) (* 1.0 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))

series369.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(cbrt (+ x 1.0))
86.0ms
(cbrt (+ x 1.0))
60.0ms
(* (/ (- (* x x) (* 1.0 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ z (cbrt (+ x 1.0))))
139.0ms
(/ (- (* x x) (* 1.0 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))

simplify88.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08041903
133861682
250011614

prune459.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ x 1.0))
0.0b
(+ (* x y) (* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0))))
8.8b
(* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
18×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 add-log-exp
4×associate-*l* associate-/r* associate-/r/
3×flip3-+ flip-+ associate-/l*
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative difference-of-squares
Counts
3 → 86
Calls
3 calls:
11.0ms
(/ z (+ x 1.0))
8.0ms
(+ (* x y) (* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0))))
48.0ms
(* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0)))

series142.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ z (+ x 1.0))
51.0ms
(+ (* x y) (* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0))))
63.0ms
(* (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0440711
12131652
25001642

prune193.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample494.0ms

Algorithm
intervals
Results
219.0ms10062×body80valid