Details

Time bar (total: 5.3s)

sample23.0ms

Algorithm
intervals
Results
8.0ms305×body80valid
1.0ms13×body640valid
0.0ms4×body1280valid
0.0ms6×body320valid
0.0ms2×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

localize12.0ms

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

rewrite179.0ms

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:
34.0ms
(- (/ 2.0 3.0) z)
24.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
41.0ms
(* (- y x) 6.0)
76.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series151.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(- (/ 2.0 3.0) z)
58.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
26.0ms
(* (- y x) 6.0)
49.0ms
(* (* (- 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

prune195.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

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:
49.0ms
(* 6.0 (- (/ 2.0 3.0) z))
18.0ms
(- (/ 2.0 3.0) z)
15.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
71.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series146.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 6.0 (- (/ 2.0 3.0) z))
16.0ms
(- (/ 2.0 3.0) z)
58.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
38.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0437708
11830652
25001652

prune210.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) 6.0)
0.0b
(* (- y x) 6.0)
0.2b
(* (* (- y x) 6.0) (- z))
0.3b
(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
25×add-exp-log add-cbrt-cube
24×associate-*l*
22×*-un-lft-identity
18×pow1 add-cube-cbrt
17×associate-*r*
13×associate-*l/
11×prod-exp cbrt-unprod
9×times-frac
8×pow-prod-down
5×flip3-- flip--
4×*-commutative add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×cbrt-undiv frac-times associate-*r/ div-exp distribute-lft-out-- difference-of-squares unswap-sqr
1×neg-mul-1 distribute-rgt-neg-out div-inv
Counts
4 → 109
Calls
4 calls:
22.0ms
(* (- y x) 6.0)
21.0ms
(* (- y x) 6.0)
39.0ms
(* (* (- y x) 6.0) (- z))
41.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

series111.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (- y x) 6.0)
30.0ms
(* (- y x) 6.0)
28.0ms
(* (* (- y x) 6.0) (- z))
27.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0466577
12582488
25003488

prune243.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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

rewrite43.0ms

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:
31.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
3.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
3.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
3.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

series2.3s

Counts
4 → 12
Calls
4 calls:
737.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
640.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
422.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
466.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04632031
116181918
250011706

prune284.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample610.0ms

Algorithm
intervals
Results
267.0ms9397×body80valid
29.0ms252×body640valid
17.0ms137×body1280valid
16.0ms213×body320valid
8.0ms104×body160valid