Details

Time bar (total: 5.8s)

sample22.0ms

Algorithm
intervals
Results
8.0ms300×body80valid
1.0ms7×body320valid
1.0ms4×body1280valid
0.0ms9×body160valid
0.0ms4×body640valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0216
1486
21606
34216
49846
519566
633906
750016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
7×add-cube-cbrt
6×associate-*l*
5×sub-neg difference-of-squares
4×distribute-rgt-in frac-times associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 85
Calls
4 calls:
10.0ms
(- (/ 2.0 3.0) z)
10.0ms
(* (- y x) 6.0)
8.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
33.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series163.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- (/ 2.0 3.0) z)
29.0ms
(* (- y x) 6.0)
64.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
43.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify57.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0435616
12060564
25001564

prune214.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.1b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×distribute-rgt-in distribute-lft-in
13×*-un-lft-identity
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×associate-*r/
8×associate-+r+ flip3-- associate-*l* flip-- add-log-exp
7×add-cube-cbrt associate-*r*
5×difference-of-squares
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*l/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 97
Calls
4 calls:
10.0ms
(- (/ 2.0 3.0) z)
6.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
29.0ms
(* 6.0 (- (/ 2.0 3.0) z))
33.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series167.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
64.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
38.0ms
(* 6.0 (- (/ 2.0 3.0) z))
46.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0437708
11830652
25001652

prune211.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.5b
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.5b
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.5b
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))

rewrite21.0ms

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:
1.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
1.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
1.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
14.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))

series2.2s

Counts
4 → 12
Calls
4 calls:
474.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
451.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
450.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
833.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))

simplify56.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04632031
116261918
250021706

prune343.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
0.5b
(cbrt (* (- y x) 6.0))
0.5b
(cbrt (* (- y x) 6.0))
0.5b
(cbrt (* (- y x) 6.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
11.0ms
(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
7.0ms
(cbrt (* (- y x) 6.0))
3.0ms
(cbrt (* (- y x) 6.0))
3.0ms
(cbrt (* (- y x) 6.0))

series920.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
214.0ms
(cbrt (* (- y x) 6.0))
221.0ms
(cbrt (* (- y x) 6.0))
215.0ms
(cbrt (* (- y x) 6.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0281658
1992607
25001566

prune257.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample594.0ms

Algorithm
intervals
Results
291.0ms9428×body80valid
29.0ms261×body640valid
21.0ms152×body1280valid
15.0ms195×body320valid
5.0ms92×body160valid