Details

Time bar (total: 5.0s)

sample26.0ms

Algorithm
intervals
Results
11.0ms299×body80valid
1.0ms11×body640valid
0.0ms3×body1280valid
0.0ms4×body320valid
0.0ms5×body160valid

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 3 expressions with local error:

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

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity associate-*l/ add-cbrt-cube
9×associate-*r*
7×flip3-- flip--
6×add-cube-cbrt associate-*l*
5×add-log-exp
4×distribute-rgt-in frac-times sub-neg associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod
3×difference-of-squares
2×associate-*r/ *-commutative distribute-lft-out--
1×+-commutative flip3-+ times-frac sum-log flip-+ unswap-sqr
Counts
3 → 70
Calls
3 calls:
22.0ms
(* (- y x) 6.0)
13.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
71.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series117.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (- y x) 6.0)
55.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
37.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify52.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0423540
12044493
25002493

prune171.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
18×distribute-rgt-in distribute-lft-in
15×add-sqr-sqrt
10×pow1 add-exp-log sub-neg *-un-lft-identity associate-*r/ add-cbrt-cube
8×associate-+r+ associate-*l*
7×flip3-- associate-*r* flip--
6×add-cube-cbrt
5×add-log-exp
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×difference-of-squares
2×associate-*l/ *-commutative distribute-lft-out--
1×+-commutative flip3-+ times-frac sum-log flip-+ unswap-sqr
Counts
3 → 82
Calls
3 calls:
15.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
51.0ms
(* 6.0 (- (/ 2.0 3.0) z))
71.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
33.0ms
(* 6.0 (- (/ 2.0 3.0) z))
39.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0425632
11814581
25002581

prune193.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

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)
22.0ms
(* (- y x) 6.0)
41.0ms
(* (* (- y x) 6.0) (- z))
42.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

series107.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (- y x) 6.0)
28.0ms
(* (- y x) 6.0)
28.0ms
(* (* (- y x) 6.0) (- z))
26.0ms
(* (/ 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

prune253.0ms

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 (+ 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)))))

rewrite44.0ms

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:
32.0ms
(* (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)))))

series2.0s

Counts
4 → 12
Calls
4 calls:
753.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
406.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
431.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
455.0ms
(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
116181918
250011706

prune331.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes189.0ms

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

sample617.0ms

Algorithm
intervals
Results
273.0ms9521×body80valid
27.0ms273×body640valid
15.0ms124×body1280valid
14.0ms182×body320valid
6.0ms111×body160valid