Details

Time bar (total: 2.0s)

sample20.0ms

Algorithm
intervals
Results
7.0ms312×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0517
1517

prune5.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
9.0ms
(* y (+ z x))
3.0ms
(+ x (* y (+ z x)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* y (+ z x))
7.0ms
(+ x (* y (+ z x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05155318

prune49.0ms

Filtered
31 candidates to 42 candidates (-35.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh000
Picked011
Done000
Total39443

Merged error: 0.0b

Counts
43 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
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 → 95
Calls
4 calls:
3.0ms
(cbrt (+ x z))
3.0ms
(cbrt (+ x z))
3.0ms
(cbrt (+ z x))
10.0ms
(* (cbrt (+ x z)) (cbrt (+ x z)))

series130.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (+ x z))
30.0ms
(cbrt (+ x z))
33.0ms
(cbrt (+ z x))
37.0ms
(* (cbrt (+ x z)) (cbrt (+ x z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04922985
14922985

prune107.0ms

Filtered
77 candidates to 107 candidates (-39.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh112
Picked011
Done011
Total1074111

Merged error: 0b

Counts
111 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x z)) (cbrt (+ x z)))
0.6b
(cbrt (* (cbrt (+ x z)) (cbrt (+ x z))))
0.6b
(cbrt (cbrt (+ x z)))
0.9b
(pow (cbrt (cbrt (+ x z))) 4)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
47×cbrt-prod
36×cbrt-div *-un-lft-identity
26×add-sqr-sqrt
18×add-cube-cbrt
13×flip3-+ flip-+
12×pow1
10×unpow-prod-down
9×pow1/3 swap-sqr
8×frac-times distribute-lft-out
7×add-exp-log associate-*r* associate-*l*
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
3×pow-unpow
2×pow-pow pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-plus pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 112
Calls
4 calls:
10.0ms
(* (cbrt (+ x z)) (cbrt (+ x z)))
8.0ms
(cbrt (* (cbrt (+ x z)) (cbrt (+ x z))))
4.0ms
(cbrt (cbrt (+ x z)))
6.0ms
(pow (cbrt (cbrt (+ x z))) 4)

series198.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (cbrt (+ x z)) (cbrt (+ x z)))
49.0ms
(cbrt (* (cbrt (+ x z)) (cbrt (+ x z))))
37.0ms
(cbrt (cbrt (+ x z)))
74.0ms
(pow (cbrt (cbrt (+ x z))) 4)

simplify57.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050021334

prune144.0ms

Filtered
79 candidates to 124 candidates (-57.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1240124
Fresh011
Picked011
Done022
Total1244128

Merged error: 0b

Counts
128 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

3.5b
(* y (* y (* (+ x z) (+ x z))))
5.8b
(- (* x x) (* y (* y (* (+ x z) (+ x z)))))
8.9b
(* y (* (+ x z) (+ x z)))
30.6b
(/ (- (* x x) (* y (* y (* (+ x z) (+ x z))))) (- x (* y (+ x z))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
28×distribute-rgt-in distribute-lft-in associate-*r/
20×add-exp-log add-cbrt-cube
18×pow1
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×flip3-+ flip-+
9×times-frac pow-prod-down prod-exp cbrt-unprod
8×frac-times associate--r+
6×associate-*l* add-log-exp
4×associate-*l/
3×flip3-- associate-/r* flip-- associate-/l*
2×associate-*r* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv unswap-sqr
Counts
4 → 120
Calls
4 calls:
12.0ms
(* y (* y (* (+ x z) (+ x z))))
6.0ms
(- (* x x) (* y (* y (* (+ x z) (+ x z)))))
10.0ms
(* y (* (+ x z) (+ x z)))
7.0ms
(/ (- (* x x) (* y (* y (* (+ x z) (+ x z))))) (- x (* y (+ x z))))

series83.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* y (* y (* (+ x z) (+ x z))))
25.0ms
(- (* x x) (* y (* y (* (+ x z) (+ x z)))))
8.0ms
(* y (* (+ x z) (+ x z)))
42.0ms
(/ (- (* x x) (* y (* y (* (+ x z) (+ x z))))) (- x (* y (+ x z))))

simplify34.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
050232117

prune104.0ms

Filtered
89 candidates to 132 candidates (-48.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1320132
Fresh000
Picked011
Done033
Total1324136

Merged error: 0b

Counts
136 → 4

regimes197.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097
197

end0.0ms

sample575.0ms

Algorithm
intervals
Results
238.0ms10175×body80valid

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