Details

Time bar (total: 3.3s)

sample17.0ms

Algorithm
intervals
Results
7.0ms321×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

prune2.0ms

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))

rewrite10.0ms

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:
6.0ms
(* (- x 1.0) z)
4.0ms
(+ (* x y) (* (- x 1.0) z))

series60.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- x 1.0) z)
32.0ms
(+ (* x y) (* (- x 1.0) z))

simplify97.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0187183
1775166
24041166
35001166

prune77.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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

series838.0ms

Counts
4 → 12
Calls
4 calls:
375.0ms
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
152.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
157.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
155.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03171282
110361201
250011093

prune236.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x y) (* (- x 1.0) z))
3.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
10.0ms
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series215.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* x y) (* (- x 1.0) z))
74.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
77.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
33.0ms
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify42.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0264946
1991850
25002818

prune180.0ms

Filtered
110 candidates to 62 candidates (56.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z)))
0.0b
(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))
0.1b
(* (- (sqrt x) (sqrt 1.0)) z)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity associate-*l*
10×pow1 add-exp-log associate-*l/ add-cbrt-cube
8×sqrt-prod
6×add-cube-cbrt
5×add-log-exp
4×frac-times flip3-- flip3-+ associate-*r* pow-prod-down prod-exp flip-- cbrt-unprod flip-+ difference-of-squares
2×associate-*r/ *-commutative distribute-lft-out distribute-lft-out--
1×+-commutative sum-log unswap-sqr
Counts
3 → 65
Calls
3 calls:
5.0ms
(+ (* x y) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z)))
16.0ms
(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))
10.0ms
(* (- (sqrt x) (sqrt 1.0)) z)

series515.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(+ (* x y) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z)))
325.0ms
(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))
91.0ms
(* (- (sqrt x) (sqrt 1.0)) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0495767
12283617
25001595

prune177.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes100.0ms

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

sample452.0ms

Algorithm
intervals
Results
235.0ms10141×body80valid