Details

Time bar (total: 3.3s)

sample21.0ms

Algorithm
intervals
Results
9.0ms310×body80valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

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
(* (- 1.0 x) z)
0.0b
(+ (* x y) (* (- 1.0 x) 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:
22.0ms
(* (- 1.0 x) z)
9.0ms
(+ (* x y) (* (- 1.0 x) z))

series63.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- 1.0 x) z)
33.0ms
(+ (* x y) (* (- 1.0 x) z))

simplify110.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0185183
1776166
24093166
35001166

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
1.9b
(* (- (* 1.0 1.0) (* x x)) z)
6.6b
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite78.0ms

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:
24.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
26.0ms
(* (- (* 1.0 1.0) (* x x)) z)
26.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series148.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
41.0ms
(* (- (* 1.0 1.0) (* x x)) z)
54.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify60.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0368530
11781465
25002456

prune145.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z))))
0.0b
(sqrt (* (- 1.0 x) z))
0.0b
(sqrt (* (- 1.0 x) z))
0.3b
(* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*l/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
8×add-cube-cbrt flip3-- *-un-lft-identity flip--
6×add-exp-log sqrt-prod pow-sqr add-cbrt-cube add-log-exp
4×frac-times swap-sqr associate-*r* associate-*l*
2×associate-*r/
1×+-commutative pow2 flip3-+ pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 94
Calls
4 calls:
8.0ms
(+ (* x y) (* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z))))
8.0ms
(sqrt (* (- 1.0 x) z))
10.0ms
(sqrt (* (- 1.0 x) z))
64.0ms
(* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z)))

series265.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* x y) (* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z))))
84.0ms
(sqrt (* (- 1.0 x) z))
83.0ms
(sqrt (* (- 1.0 x) z))
64.0ms
(* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0289614
11306523
25001503

prune212.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* x y) 3)
1.0b
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
3.2b
(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
38.1b
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×pow1
5×sum-cubes distribute-lft-out associate-/l*
4×associate-+l+ flip3-+ flip-+
3×pow-unpow associate-/r*
2×+-commutative distribute-rgt-in sub-neg pow-pow distribute-lft-in pow-exp sum-log associate-/r/ associate-/l/ rem-cube-cbrt
1×cbrt-undiv cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod div-exp pow-prod-down prod-exp clear-num cbrt-unprod div-inv sqr-pow
Counts
4 → 89
Calls
4 calls:
6.0ms
(pow (* x y) 3)
73.0ms
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
14.0ms
(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
141.0ms
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

series596.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(pow (* x y) 3)
110.0ms
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
159.0ms
(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
280.0ms
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

simplify108.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
04481632
124131490
250011485

prune272.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes81.0ms

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

sample501.0ms

Algorithm
intervals
Results
218.0ms10067×body80valid