Details

Time bar (total: 7.7s)

sample40.0ms

Algorithm
intervals
Results
23.0ms311×body80valid
1.0ms6×body640valid
1.0ms7×body320valid
1.0ms4×body1280valid
0.0ms3×body160valid

simplify109.0ms

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))

rewrite70.0ms

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:
11.0ms
(- (/ 2.0 3.0) z)
10.0ms
(* (- y x) 6.0)
6.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
40.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series156.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
31.0ms
(* (- y x) 6.0)
60.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
46.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify56.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0435616
12060564
25001564

prune230.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.0b
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.2b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite93.0ms

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:
11.0ms
(- (/ 2.0 3.0) z)
31.0ms
(* 6.0 (- (/ 2.0 3.0) z))
7.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
41.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series169.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
38.0ms
(* 6.0 (- (/ 2.0 3.0) z))
66.0ms
(+ x (* (- y x) (* 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 (11.0ms)

IterNodesCost
0437708
11830652
25001652

prune230.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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:
16.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
2.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
2.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
2.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

series2.2s

Counts
4 → 12
Calls
4 calls:
804.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
461.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
468.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
462.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04632031
116191918
250011706

prune339.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
0.6b
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
0.6b
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
0.9b
(pow (cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))) 4)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×cbrt-div
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-+ flip-+
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 72
Calls
4 calls:
2.0ms
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
2.0ms
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
2.0ms
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
5.0ms
(pow (cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))) 4)

series1.9s

Counts
4 → 12
Calls
4 calls:
466.0ms
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
459.0ms
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
461.0ms
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
551.0ms
(pow (cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))) 4)

simplify51.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04481621
114531544
250021387

prune394.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes290.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample1.1s

Algorithm
intervals
Results
725.0ms9493×body80valid
54.0ms227×body640valid
45.0ms153×body1280valid
37.0ms192×body320valid
15.0ms117×body160valid