Details

Time bar (total: 3.3s)

sample33.0ms

Algorithm
intervals
Results
12.0ms313×body80valid
2.0ms12×body640valid
1.0ms12×body320valid
1.0ms3×body1280valid
0.0ms3×body160valid

simplify284.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (282.0ms)

IterNodesCost
0309113
1309113

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize10.0ms

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)))

rewrite47.0ms

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
(* 6.0 (- (/ 2.0 3.0) z))
11.0ms
(- (/ 2.0 3.0) z)
6.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
16.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* 6.0 (- (/ 2.0 3.0) z))
2.0ms
(- (/ 2.0 3.0) z)
14.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
10.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify23.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
052791350

prune155.0ms

Filtered
70 candidates to 109 candidates (-55.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1036109
Fresh011
Picked101
Done000
Total1047111

Merged error: 0.0b

Counts
111 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*l/
10×flip3-- frac-add distribute-rgt-neg-out flip-- add-log-exp
8×pow1 add-exp-log *-un-lft-identity associate-*r/ add-cbrt-cube
6×add-sqr-sqrt
5×associate-*l*
4×frac-times add-cube-cbrt sum-log
3×pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+r- flip3-+ unsub-neg flip-+ distribute-lft-out
1×associate-+r+ associate-*r* *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 63
Calls
3 calls:
13.0ms
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z))))
12.0ms
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z)))))
9.0ms
(* (- y x) (* 6.0 (neg z)))

series39.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z))))
14.0ms
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z)))))
9.0ms
(* (- y x) (* 6.0 (neg z)))

simplify24.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
053951185

prune113.0ms

Filtered
54 candidates to 72 candidates (-33.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New70272
Fresh156
Picked011
Done000
Total71879

Merged error: 0.0b

Counts
79 → 8

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))

rewrite39.0ms

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:
8.0ms
(- (/ 2.0 3.0) z)
6.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
7.0ms
(* (- y x) 6.0)
16.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series31.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(- (/ 2.0 3.0) z)
14.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
5.0ms
(* (- y x) 6.0)
10.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify30.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
054031143

prune127.0ms

Filtered
65 candidates to 97 candidates (-49.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh066
Picked011
Done011
Total978105

Merged error: 0.0b

Counts
105 → 8

localize16.0ms

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)))))

rewrite20.0ms

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:
9.0ms
(* (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)))))

series511.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
95.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
96.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
97.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
051292864

prune323.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New97299
Fresh055
Picked011
Done022
Total9710107

Merged error: 0.0b

Counts
107 → 10

regimes456.0ms

Accuracy

0% (0.1b 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
03320
13320

end0.0ms

sample892.0ms

Algorithm
intervals
Results
389.0ms9576×body80valid
36.0ms253×body640valid
28.0ms152×body1280valid
21.0ms189×body320valid
9.0ms125×body160valid

Profiling

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