Details

Time bar (total: 3.7s)

sample14.0ms

Algorithm
intervals
Results
5.0ms297×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
082
1152
2192
3192

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: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* y z))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 20
Calls
1 calls:
3.0ms
(- x (* y z))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(- x (* y z))

simplify97.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
09794
129382
2102481
3278267
4500367

prune44.0ms

Filtered
23 candidates to 18 candidates (78.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New22123
Fresh000
Picked011
Done000
Total22224

Merged error: 0.0b

Counts
24 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* y z))) (cbrt (- x (* y z))))
0.5b
(cbrt (- x (* y z)))
0.5b
(cbrt (- x (* y z)))
0.5b
(cbrt (- x (* y 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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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:
9.0ms
(* (cbrt (- x (* y z))) (cbrt (- x (* y z))))
3.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))
3.0ms
(cbrt (- x (* y z)))

series538.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (cbrt (- x (* y z))) (cbrt (- x (* y z))))
125.0ms
(cbrt (- x (* y z)))
131.0ms
(cbrt (- x (* y z)))
129.0ms
(cbrt (- x (* y z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0320926
11087874
25001823

prune287.0ms

Filtered
107 candidates to 83 candidates (77.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh000
Picked101
Done011
Total1063109

Merged error: 0.0b

Counts
109 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

1.6b
(- (* x x) (* (* y z) (* y z)))
13.2b
(/ (* (cbrt (- (* x x) (* (* y z) (* y z)))) (cbrt (- (* x x) (* (* y z) (* y z))))) (* (cbrt (+ x (* y z))) (cbrt (+ x (* y z)))))
29.1b
(cbrt (- (* x x) (* (* y z) (* y z))))
29.1b
(cbrt (- (* x x) (* (* y z) (* y z))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
9×flip3-- flip--
8×cbrt-prod frac-times associate-/r/ add-cbrt-cube associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u
3×difference-of-squares
2×pow1/3
1×sub-neg frac-2neg times-frac fma-neg diff-log prod-diff clear-num associate-/r* div-inv associate-/l*
Counts
4 → 88
Calls
4 calls:
5.0ms
(- (* x x) (* (* y z) (* y z)))
24.0ms
(/ (* (cbrt (- (* x x) (* (* y z) (* y z)))) (cbrt (- (* x x) (* (* y z) (* y z))))) (* (cbrt (+ x (* y z))) (cbrt (+ x (* y z)))))
4.0ms
(cbrt (- (* x x) (* (* y z) (* y z))))
4.0ms
(cbrt (- (* x x) (* (* y z) (* y z))))

series486.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(- (* x x) (* (* y z) (* y z)))
145.0ms
(/ (* (cbrt (- (* x x) (* (* y z) (* y z)))) (cbrt (- (* x x) (* (* y z) (* y z))))) (* (cbrt (+ x (* y z))) (cbrt (+ x (* y z)))))
123.0ms
(cbrt (- (* x x) (* (* y z) (* y z))))
126.0ms
(cbrt (- (* x x) (* (* y z) (* y z))))

simplify74.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
04801550
117621278
250011222

prune405.0ms

Filtered
100 candidates to 86 candidates (86.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh101
Picked101
Done011
Total1003103

Merged error: 0.0b

Counts
103 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

29.1b
(cbrt (- (* x x) (* (* y z) (* y z))))
29.1b
(cbrt (- (* x x) (* (* y z) (* y z))))
29.1b
(cbrt (- (* x x) (* (* y z) (* y z))))
29.1b
(cbrt (- (* x x) (* (* y z) (* y z))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp difference-of-squares
Counts
4 → 64
Calls
4 calls:
4.0ms
(cbrt (- (* x x) (* (* y z) (* y z))))
4.0ms
(cbrt (- (* x x) (* (* y z) (* y z))))
4.0ms
(cbrt (- (* x x) (* (* y z) (* y z))))
4.0ms
(cbrt (- (* x x) (* (* y z) (* y z))))

series506.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (- (* x x) (* (* y z) (* y z))))
123.0ms
(cbrt (- (* x x) (* (* y z) (* y z))))
132.0ms
(cbrt (- (* x x) (* (* y z) (* y z))))
129.0ms
(cbrt (- (* x x) (* (* y z) (* y z))))

simplify115.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0173808
1630752
22987736
35001736

prune417.0ms

Filtered
76 candidates to 76 candidates (100.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh011
Picked011
Done011
Total76379

Merged error: 0.0b

Counts
79 → 3

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

end0.0ms

sample339.0ms

Algorithm
intervals
Results
157.0ms9096×body80valid