Details

Time bar (total: 2.2s)

sample51.0ms

Algorithm
intervals
Results
18.0ms349×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0299
1299

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
0.1b
(* (+ (* x y) z) y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*l/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 31
Calls
2 calls:
4.0ms
(+ (* x y) z)
6.0ms
(* (+ (* x y) z) y)

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* x y) z)
8.0ms
(* (+ (* x y) z) y)

simplify50.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04908309
14908309

prune51.0ms

Filtered
27 candidates to 37 candidates (-37.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33437
Fresh000
Picked011
Done000
Total33538

Merged error: 0.0b

Counts
38 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
6.1b
(cbrt (* y (+ (* x y) z)))
6.1b
(cbrt (* y (+ (* x y) z)))
6.1b
(cbrt (* y (+ (* x y) z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
7.0ms
(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
5.0ms
(cbrt (* y (+ (* x y) z)))
5.0ms
(cbrt (* y (+ (* x y) z)))
5.0ms
(cbrt (* y (+ (* x y) z)))

series168.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
39.0ms
(cbrt (* y (+ (* x y) z)))
38.0ms
(cbrt (* y (+ (* x y) z)))
39.0ms
(cbrt (* y (+ (* x y) z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
052341020

prune103.0ms

Filtered
71 candidates to 84 candidates (-18.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh033
Picked011
Done011
Total84589

Merged error: 0.0b

Counts
89 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

4.9b
(* x (* x (pow y 3)))
5.3b
(* y (* z z))
6.6b
(* x (pow y 3))
20.4b
(/ (- (* x (* x (pow y 3))) (* y (* z z))) (- (* x y) z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity add-cbrt-cube
14×associate-*r*
13×prod-exp
11×pow1
9×times-frac associate-*l*
7×cbrt-unprod
5×unswap-sqr
4×unpow-prod-down cube-prod pow-prod-down add-log-exp
3×associate-/r* *-commutative associate-/l*
2×pow-to-exp flip3-- pow-exp associate-/r/ flip-- associate-/l/ sqr-pow
1×cbrt-undiv cube-mult frac-2neg unpow3 div-sub div-exp clear-num div-inv
Counts
4 → 101
Calls
4 calls:
6.0ms
(* x (* x (pow y 3)))
5.0ms
(* y (* z z))
6.0ms
(* x (pow y 3))
11.0ms
(/ (- (* x (* x (pow y 3))) (* y (* z z))) (- (* x y) z))

series47.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* x (* x (pow y 3)))
6.0ms
(* y (* z z))
9.0ms
(* x (pow y 3))
22.0ms
(/ (- (* x (* x (pow y 3))) (* y (* z z))) (- (* x y) z))

simplify55.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050741396

prune122.0ms

Filtered
71 candidates to 113 candidates (-59.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done022
Total1135118

Merged error: 0.0b

Counts
118 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) z)
0.1b
(* y (+ (* x y) z))
0.2b
(pow (* y (+ (* x y) z)) 3)
36.9b
(cbrt (pow (* y (+ (* x y) z)) 3))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod add-cube-cbrt *-un-lft-identity
6×associate-*r/ add-log-exp
4×cube-div flip3-+ flip-+
3×pow-unpow associate-*r* associate-*l*
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×+-commutative distribute-rgt-in pow-to-exp distribute-lft-in pow1/3 sum-log *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 76
Calls
4 calls:
4.0ms
(+ (* x y) z)
6.0ms
(* y (+ (* x y) z))
10.0ms
(pow (* y (+ (* x y) z)) 3)
8.0ms
(cbrt (pow (* y (+ (* x y) z)) 3))

series40.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* x y) z)
6.0ms
(* y (+ (* x y) z))
19.0ms
(pow (* y (+ (* x y) z)) 3)
10.0ms
(cbrt (pow (* y (+ (* x y) z)) 3))

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05306849

prune95.0ms

Filtered
66 candidates to 88 candidates (-33.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New88088
Fresh011
Picked011
Done033
Total88593

Merged error: 0.0b

Counts
93 → 5

regimes344.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129
1129

end0.0ms

sample783.0ms

Algorithm
intervals
Results
320.0ms11241×body80valid

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