Details

Time bar (total: 8.8s)

sample24.0ms

Algorithm
intervals
Results
11.0ms297×body80valid
1.0ms8×body320valid
1.0ms6×body640valid
0.0ms4×body1280valid
0.0ms1×body160valid

simplify121.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

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))

rewrite68.0ms

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)
13.0ms
(* (- y x) 6.0)
6.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
36.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series158.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- (/ 2.0 3.0) z)
29.0ms
(* (- y x) 6.0)
62.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
46.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify59.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0435616
12060564
25001564

prune214.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite89.0ms

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)
9.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
30.0ms
(* 6.0 (- (/ 2.0 3.0) z))
36.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series181.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- (/ 2.0 3.0) z)
65.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
44.0ms
(* 6.0 (- (/ 2.0 3.0) z))
47.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0437708
11830652
25001652

prune232.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.6b
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.6b
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
176×associate-*r/
168×cbrt-div
148×frac-times
126×flip3-- flip--
50×associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 162
Calls
4 calls:
31.0ms
(* (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
27.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
30.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
27.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

series2.4s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
443.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
436.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
444.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

simplify95.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06743994
121983901
250013847

prune728.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (cbrt (- y x)) (cbrt (* 6.0 (- (/ 2.0 3.0) z)))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.5b
(cbrt (- y x))
0.6b
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.6b
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
198×cbrt-div
168×associate-*r/
144×frac-times
121×flip3-- flip--
48×associate-*l/
12×pow1/3
9×pow1 add-exp-log cbrt-prod
8×add-sqr-sqrt *-un-lft-identity
7×pow-prod-down
6×add-cube-cbrt
5×add-cbrt-cube
4×associate-*r* add-log-exp
3×prod-exp cbrt-unprod
1×swap-sqr associate-*l* pow-sqr *-commutative pow-prod-up distribute-lft-out-- difference-of-squares
Counts
4 → 152
Calls
4 calls:
42.0ms
(* (* (cbrt (- y x)) (cbrt (* 6.0 (- (/ 2.0 3.0) z)))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
4.0ms
(cbrt (- y x))
27.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
27.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

series2.3s

Counts
4 → 12
Calls
4 calls:
1.2s
(* (* (cbrt (- y x)) (cbrt (* 6.0 (- (/ 2.0 3.0) z)))) (cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
169.0ms
(cbrt (- y x))
431.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
447.0ms
(cbrt (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

simplify102.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
010643868
132293793
250023786

prune1.0s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes143.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample554.0ms

Algorithm
intervals
Results
269.0ms9377×body80valid
27.0ms274×body640valid
18.0ms141×body1280valid
17.0ms220×body320valid
9.0ms123×body160valid