Details

Time bar (total: 2.6s)

sample28.0ms

Algorithm
intervals
Results
17.0ms334×body80valid

simplify32.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:
9.0ms
(* z (- 1.0 y))
3.0ms
(+ (* x y) (* z (- 1.0 y)))

series60.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* z (- 1.0 y))
28.0ms
(+ (* x y) (* z (- 1.0 y)))

simplify93.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0194208
1748188
23251188
35001188

prune81.0ms

Pruning

2 alts after pruning (2 fresh and 0 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))

rewrite13.0ms

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:
3.0ms
(+ (* z 1.0) (* y (- x z)))
9.0ms
(* y (- x z))

series69.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* z 1.0) (* y (- x z)))
36.0ms
(* y (- x z))

simplify116.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0195202
1878188
24351188
35001188

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* z (- 1.0 y)) (* z (- 1.0 y)))
0.3b
(* (* x y) (* x y))
4.1b
(- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y))))
27.4b
(/ (- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y)))) (- (* x y) (* z (- 1.0 y))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
14×associate-*r/
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
9×sub-neg flip3-- flip--
8×pow-sqr pow-prod-up associate--r+
6×add-log-exp
5×difference-of-squares
4×frac-times pow-plus associate-/l*
3×associate-/r*
2×pow2 swap-sqr associate-*r* associate-*l* associate-*l/ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 141
Calls
4 calls:
23.0ms
(* (* z (- 1.0 y)) (* z (- 1.0 y)))
9.0ms
(* (* x y) (* x y))
13.0ms
(- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y))))
29.0ms
(/ (- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y)))) (- (* x y) (* z (- 1.0 y))))

series243.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* z (- 1.0 y)) (* z (- 1.0 y)))
30.0ms
(* (* x y) (* x y))
87.0ms
(- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y))))
90.0ms
(/ (- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y)))) (- (* x y) (* z (- 1.0 y))))

simplify90.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06111458
130101264
250021242

prune229.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- x z))
0.2b
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
1.6b
(sqrt (* y (- x z)))
1.6b
(sqrt (* y (- x z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-- associate-*r* flip--
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
9.0ms
(* y (- x z))
27.0ms
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
3.0ms
(sqrt (* y (- x z)))
3.0ms
(sqrt (* y (- x z)))

series245.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* y (- x z))
102.0ms
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
50.0ms
(sqrt (* y (- x z)))
54.0ms
(sqrt (* y (- x z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0254526
11160473
25001449

prune207.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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

sample725.0ms

Algorithm
intervals
Results
499.0ms10186×body80valid