Details

Time bar (total: 2.5s)

sample18.0ms

Algorithm
intervals
Results
7.0ms334×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
5.0ms
(* x (- 1.0 (* x y)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* x (- 1.0 (* x y)))

simplify83.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0122130
1534113
22890113
35001113

prune45.0ms

Filtered
16 candidates to 27 candidates (-68.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New22527
Fresh000
Picked011
Done000
Total22628

Merged error: 0.0b

Counts
28 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

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:
2.0ms
(cbrt (- 1.0 (* x y)))
4.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
8.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series166.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(cbrt (- 1.0 (* x y)))
38.0ms
(cbrt (- 1.0 (* x y)))
41.0ms
(cbrt (- 1.0 (* x y)))
49.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify48.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03521118
113541067
250011012

prune256.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New97299
Fresh044
Picked101
Done011
Total987105

Merged error: 0b

Counts
105 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.3b
(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
31×cbrt-prod
26×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×cbrt-div
12×pow1
9×unpow-prod-down pow1/3
8×flip3-- flip--
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
3×pow-unpow
2×pow-pow associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-plus pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 98
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
8.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
5.0ms
(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)

series215.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(cbrt (- 1.0 (* x y)))
39.0ms
(cbrt (- 1.0 (* x y)))
50.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
86.0ms
(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)

simplify64.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05201186
121381138
250011092

prune369.0ms

Filtered
80 candidates to 110 candidates (-37.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh055
Picked011
Done011
Total1107117

Merged error: 0b

Counts
117 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))

rewrite20.0ms

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:
6.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))

series222.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
51.0ms
(cbrt (* x (- 1.0 (* x y))))
53.0ms
(cbrt (* x (- 1.0 (* x y))))
50.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify48.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04231104
116381039
25001977

prune218.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh044
Picked011
Done022
Total84791

Merged error: 0b

Counts
91 → 7

regimes156.0ms

Accuracy

0% (0.1b 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
083
183

end0.0ms

sample489.0ms

Algorithm
intervals
Results
233.0ms10603×body80valid

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