Details

Time bar (total: 5.3s)

sample26.0ms

Algorithm
intervals
Results
11.0ms297×body80valid
1.0ms7×body1280valid
1.0ms10×body320valid
1.0ms6×body640valid
0.0ms5×body160valid

simplify118.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 0.4b

Counts
2 → 1

localize9.0ms

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))

rewrite38.0ms

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)
5.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms
(* (- y x) 6.0)
17.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series160.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (/ 2.0 3.0) z)
61.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
33.0ms
(* (- y x) 6.0)
43.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify61.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0435616
12060564
25001564

prune203.0ms

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
(- (/ 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)))

rewrite45.0ms

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)
5.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
10.0ms
(* 6.0 (- (/ 2.0 3.0) z))
15.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series169.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (/ 2.0 3.0) z)
61.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
42.0ms
(* 6.0 (- (/ 2.0 3.0) z))
44.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0437708
11830652
25001652

prune183.0ms

Filtered
109 candidates to 69 candidates (63.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh088
Picked011
Done000
Total10711118

Merged error: 0.0b

Counts
118 → 11

localize11.0ms

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
17×associate-*l/
14×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
11×associate-*r* add-log-exp
9×times-frac prod-exp cbrt-unprod
6×pow-prod-down
5×flip3-- flip--
4×flip3-+ frac-add sum-log flip-+
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×cbrt-undiv +-commutative frac-times associate-*r/ div-exp *-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)))
8.0ms
(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (neg z)))
9.0ms
(* (* (- y x) 6.0) (neg z))
10.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

series172.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
66.0ms
(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (neg z)))
36.0ms
(* (* (- y x) 6.0) (neg z))
31.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify86.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0644890
13113803
25003800

prune225.0ms

Filtered
107 candidates to 76 candidates (71.0%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh099
Picked011
Done011
Total10612118

Merged error: 0.0b

Counts
118 → 12

localize14.0ms

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)))))
0.5b
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (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:
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)))))
9.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))

series2.3s

Counts
4 → 12
Calls
4 calls:
472.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
489.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
456.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
876.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))

simplify57.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04632031
116261918
250021705

prune302.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New97299
Fresh189
Picked011
Done022
Total9813111

Merged error: 0.0b

Counts
111 → 13

regimes267.0ms

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

sample703.0ms

Algorithm
intervals
Results
381.0ms9495×body80valid
37.0ms254×body640valid
28.0ms154×body1280valid
22.0ms194×body320valid
10.0ms132×body160valid

Profiling

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