Details

Time bar (total: 4.9s)

sample23.0ms

Algorithm
intervals
Results
10.0ms307×body80valid
1.0ms7×body640valid
1.0ms9×body320valid
0.0ms2×body1280valid
0.0ms1×body160valid

simplify143.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0216
1486
21606
34216
49846
519566
633906
750016

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

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))

rewrite36.0ms

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:
7.0ms
(- (/ 2.0 3.0) z)
6.0ms
(* (- y x) 6.0)
7.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
13.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series147.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (/ 2.0 3.0) z)
28.0ms
(* (- y x) 6.0)
60.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
41.0ms
(* (* (- 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

prune188.0ms

Filtered
97 candidates to 67 candidates (69.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New88997
Fresh000
Picked101
Done000
Total89998

Merged error: 0.0b

Counts
98 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
19×associate-*l*
18×*-un-lft-identity
16×pow1 add-cube-cbrt
14×associate-*r*
11×associate-*l/
10×prod-exp cbrt-unprod
9×times-frac
7×pow-prod-down
6×add-log-exp
4×flip3-- flip--
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative
2×cbrt-undiv frac-times associate-*r/ div-exp
1×+-commutative neg-mul-1 flip3-+ sum-log distribute-rgt-neg-out flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
6.0ms
(* (- y x) 6.0)
3.0ms
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
8.0ms
(* (* (- y x) 6.0) (neg z))
10.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

series128.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (- y x) 6.0)
38.0ms
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
30.0ms
(* (* (- y x) 6.0) (neg z))
32.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0522590
12794509
25001509

prune191.0ms

Filtered
110 candidates to 75 candidates (68.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh088
Picked011
Done000
Total1109119

Merged error: 0.0b

Counts
119 → 9

localize8.0ms

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

rewrite39.0ms

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:
7.0ms
(- (/ 2.0 3.0) z)
5.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
9.0ms
(* 6.0 (- (/ 2.0 3.0) z))
15.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series164.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (/ 2.0 3.0) z)
63.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
40.0ms
(* 6.0 (- (/ 2.0 3.0) z))
41.0ms
(* (- 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

prune183.0ms

Filtered
109 candidates to 70 candidates (64.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1072109
Fresh257
Picked011
Done011
Total1099118

Merged error: 0.0b

Counts
118 → 9

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)))))

rewrite18.0ms

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:
8.0ms
(* (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:
780.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
443.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
480.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
442.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04632031
116181918
250011705

prune289.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New96399
Fresh246
Picked011
Done022
Total9810108

Merged error: 0.0b

Counts
108 → 10

regimes213.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b 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

sample640.0ms

Algorithm
intervals
Results
335.0ms9480×body80valid
29.0ms232×body640valid
24.0ms228×body320valid
22.0ms143×body1280valid
6.0ms100×body160valid

Profiling

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