Details

Time bar (total: 3.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms335×body80valid

simplify35.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (- x 1.0) z))
0.0b
(* (- 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:
3.0ms
(+ (* x y) (* (- x 1.0) z))
10.0ms
(* (- x 1.0) z)

series58.0ms

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

simplify95.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0187183
1775166
24041166
35001166

prune75.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

3 alts after pruning (2 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)))
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))) (cbrt (+ (* x y) (* (- x 1.0) 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:
2.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
2.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
2.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
18.0ms
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))

series666.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
150.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
156.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
203.0ms
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03171282
110441201
250011093

prune256.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.0b
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
4.5b
(* (- (* x x) (* 1.0 1.0)) z)
5.7b
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt add-log-exp
6×pow1
4×times-frac associate-*l* associate-*l/ associate-/r*
3×flip3-- associate-*r* flip--
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/ distribute-lft-out difference-of-squares
1×+-commutative sub-neg frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 72
Calls
4 calls:
2.0ms
(- (* x x) (* 1.0 1.0))
10.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
10.0ms
(* (- (* x x) (* 1.0 1.0)) z)
12.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series190.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* x x) (* 1.0 1.0))
53.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
43.0ms
(* (- (* x x) (* 1.0 1.0)) z)
55.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0380611
11779535
25001526

prune175.0ms

Filtered
84 candidates to 60 candidates (71.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
51×cbrt-prod
48×sqrt-div
45×add-sqr-sqrt
35×flip3-+ flip-+
32×frac-times
20×add-cube-cbrt *-un-lft-identity sqrt-prod
16×pow1 associate-*l/
15×associate-*r*
12×swap-sqr
11×add-exp-log pow1/3 unswap-sqr
10×associate-*r/ associate-*l*
7×pow-prod-down
5×add-cbrt-cube
4×prod-exp cbrt-unprod add-log-exp
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 141
Calls
4 calls:
22.0ms
(* (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))) (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))))
43.0ms
(* (* (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))) (cbrt (sqrt (+ (* x y) (* (- x 1.0) z))))) (cbrt (+ (* x y) (* (- x 1.0) z))))
2.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
2.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

series675.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))) (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))))
207.0ms
(* (* (cbrt (sqrt (+ (* x y) (* (- x 1.0) z)))) (cbrt (sqrt (+ (* x y) (* (- x 1.0) z))))) (cbrt (+ (* x y) (* (- x 1.0) z))))
154.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
157.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify79.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05353296
118303136
250012912

prune457.0ms

Filtered
153 candidates to 103 candidates (67.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes76.0ms

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

sample416.0ms

Algorithm
intervals
Results
226.0ms10102×body80valid