Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms322×body80valid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
3×associate-*l*
2×associate-*r/
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 → 41
Calls
2 calls:
6.0ms
(* z (- 1.0 y))
4.0ms
(+ (* x y) (* z (- 1.0 y)))

series64.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* z (- 1.0 y))
28.0ms
(+ (* x y) (* z (- 1.0 y)))

simplify99.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0194208
1748188
23251188
35001188

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
3×associate-*l*
2×associate-*r/
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 → 41
Calls
2 calls:
4.0ms
(+ (* z 1.0) (* y (- x z)))
6.0ms
(* y (- x z))

series75.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* z 1.0) (* y (- x z)))
36.0ms
(* y (- x z))

simplify125.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0195202
1878188
24351188
35001188

prune77.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* z 1.0) (* y (- x z)))) (cbrt (+ (* z 1.0) (* y (- x z)))))
0.5b
(cbrt (+ (* z 1.0) (* y (- x z))))
0.5b
(cbrt (+ (* z 1.0) (* y (- x z))))
0.5b
(cbrt (+ (* z 1.0) (* y (- x z))))

rewrite26.0ms

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:
11.0ms
(* (cbrt (+ (* z 1.0) (* y (- x z)))) (cbrt (+ (* z 1.0) (* y (- x z)))))
3.0ms
(cbrt (+ (* z 1.0) (* y (- x z))))
5.0ms
(cbrt (+ (* z 1.0) (* y (- x z))))
3.0ms
(cbrt (+ (* z 1.0) (* y (- x z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
313.0ms
(* (cbrt (+ (* z 1.0) (* y (- x z)))) (cbrt (+ (* z 1.0) (* y (- x z)))))
288.0ms
(cbrt (+ (* z 1.0) (* y (- x z))))
274.0ms
(cbrt (+ (* z 1.0) (* y (- x z))))
273.0ms
(cbrt (+ (* z 1.0) (* y (- x z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03451416
111491332
250011240

prune274.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.4b
(- (pow x 3) (pow z 3))
2.5b
(+ (* z z) (* x z))
6.7b
(* y (- (pow x 3) (pow z 3)))
34.5b
(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
32×difference-of-squares
28×*-un-lft-identity
25×associate-*r*
24×unpow-prod-down cube-prod
16×sqr-pow
11×add-exp-log add-cbrt-cube
10×distribute-lft-out--
8×add-cube-cbrt add-log-exp
6×pow1
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×difference-cubes cbrt-undiv distribute-rgt-in distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/
1×+-commutative distribute-rgt-out frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 117
Calls
4 calls:
11.0ms
(- (pow x 3) (pow z 3))
4.0ms
(+ (* z z) (* x z))
17.0ms
(* y (- (pow x 3) (pow z 3)))
24.0ms
(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

series328.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (pow x 3) (pow z 3))
27.0ms
(+ (* z z) (* x z))
108.0ms
(* y (- (pow x 3) (pow z 3)))
139.0ms
(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

simplify78.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0496919
12508821
25001814

prune334.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample440.0ms

Algorithm
intervals
Results
233.0ms10108×body80valid