Details

Time bar (total: 7.3s)

sample36.0ms

Algorithm
intervals
Results
20.0ms293×body80valid
2.0ms8×body640valid
1.0ms4×body1280valid
1.0ms5×body320valid
0.0ms3×body160valid

simplify107.0ms

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: 0.3b

localize8.0ms

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:
12.0ms
(- (/ 2.0 3.0) z)
10.0ms
(* (- y x) 6.0)
5.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
33.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series149.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (/ 2.0 3.0) z)
28.0ms
(* (- y x) 6.0)
61.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
42.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify55.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0435616
12060564
25001564

prune188.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
0.0b
(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (- z) (* (- y x) 6.0)))
0.3b
(* (- z) (* (- y x) 6.0))
0.4b
(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
23×associate-*l*
21×add-exp-log add-cbrt-cube
14×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×associate-*l/ add-log-exp
9×times-frac prod-exp cbrt-unprod
8×associate-*r/
6×pow-prod-down
5×flip3-- flip--
4×flip3-+ frac-add sum-log flip-+
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
2×cbrt-undiv +-commutative frac-times div-exp associate-*r* *-commutative
1×neg-mul-1 associate-+l+ unsub-neg div-inv
Counts
4 → 95
Calls
4 calls:
3.0ms
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
12.0ms
(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (- z) (* (- y x) 6.0)))
15.0ms
(* (- z) (* (- y x) 6.0))
18.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

series176.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
61.0ms
(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (- z) (* (- y x) 6.0)))
45.0ms
(* (- z) (* (- y x) 6.0))
33.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0624886
12696794
25003794

prune241.0ms

Pruning

7 alts after pruning (6 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))))

rewrite24.0ms

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))))

series2.1s

Counts
4 → 12
Calls
4 calls:
781.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
437.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
442.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
439.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify57.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04632031
116191918
250011706

prune312.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
10×cbrt-prod
9×flip3-+ flip-+
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
2×associate-*r/ associate-*l/
Counts
4 → 56
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))))
6.0ms
(cbrt (* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))))

series2.1s

Counts
4 → 12
Calls
4 calls:
447.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
442.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
443.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
762.0ms
(cbrt (* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))))

simplify44.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
04311612
113031534
250011398

prune307.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes233.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02110
12510
23210
33210

end0.0ms

sample971.0ms

Algorithm
intervals
Results
603.0ms9393×body80valid
61.0ms260×body640valid
39.0ms134×body1280valid
35.0ms197×body320valid
17.0ms142×body160valid