Details

Time bar (total: 2.1s)

sample19.0ms

Algorithm
intervals
Results
9.0ms309×body80valid

simplify34.0ms

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

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

rewrite13.0ms

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:
10.0ms
(* (- x 1.0) z)
3.0ms
(+ (* x y) (* (- x 1.0) z))

series60.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- x 1.0) z)
29.0ms
(+ (* x y) (* (- x 1.0) z))

simplify99.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0187183
1775166
24041166
35001166

prune76.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (- x 1.0) z) (* (- x 1.0) z))
0.3b
(* (* x y) (* x y))
3.1b
(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
29.9b
(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
14×associate-*l/
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
9×flip3-- flip--
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×frac-times pow-plus associate-/l*
3×associate-/r*
2×pow2 associate-*r/ swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 125
Calls
4 calls:
26.0ms
(* (* (- x 1.0) z) (* (- x 1.0) z))
10.0ms
(* (* x y) (* x y))
10.0ms
(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
33.0ms
(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* (- x 1.0) z) (* (- x 1.0) z))
34.0ms
(* (* x y) (* x y))
81.0ms
(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
110.0ms
(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

simplify96.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
05591312
128851112
250011090

prune239.0ms

Filtered
137 candidates to 73 candidates (53.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/ associate--l+
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
5.0ms
(- (* x (+ z y)) z)
9.0ms
(* x (+ z y))

series53.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- (* x (+ z y)) z)
28.0ms
(* x (+ z y))

simplify74.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0170165
1690153
23363151
35001151

prune71.0ms

Filtered
43 candidates to 28 candidates (65.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (sqrt x) (* (sqrt x) (+ z y))) z)
0.1b
(* (sqrt x) (+ z y))
0.2b
(* (sqrt x) (* (sqrt x) (+ z y)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
9×distribute-rgt-in distribute-lft-in
8×add-cube-cbrt
7×sqrt-prod
6×associate-*r/
5×associate-*r* add-log-exp
4×pow-prod-down prod-exp associate--l+ cbrt-unprod
2×flip3-+ *-commutative flip-+ unswap-sqr
1×sub-neg flip3-- diff-log flip-- distribute-lft-out
Counts
3 → 70
Calls
3 calls:
16.0ms
(- (* (sqrt x) (* (sqrt x) (+ z y))) z)
11.0ms
(* (sqrt x) (+ z y))
16.0ms
(* (sqrt x) (* (sqrt x) (+ z y)))

series165.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- (* (sqrt x) (* (sqrt x) (+ z y))) z)
72.0ms
(* (sqrt x) (+ z y))
42.0ms
(* (sqrt x) (* (sqrt x) (+ z y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0323438
11427361
25001351

prune141.0ms

Filtered
79 candidates to 53 candidates (67.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

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

sample438.0ms

Algorithm
intervals
Results
240.0ms10034×body80valid