Details

Time bar (total: 3.9s)

sample15.0ms

Algorithm
intervals
Results
7.0ms329×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

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: 0.1b

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)))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* x (- 1.0 (* x y)))

simplify92.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122130
1534113
22890113
35001113

prune43.0ms

Filtered
27 candidates to 16 candidates (59.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New20727
Fresh000
Picked101
Done000
Total21728

Merged error: 0.0b

Counts
28 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (neg (* x y))))
0.2b
(* x (neg (* x y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* x (neg (* x y))))
5.0ms
(* x (neg (* x y)))

series60.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* x 1.0) (* x (neg (* x y))))
21.0ms
(* x (neg (* x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0181210
11035183
25001179

prune71.0ms

Filtered
42 candidates to 31 candidates (73.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh156
Picked011
Done000
Total42749

Merged error: 0.0b

Counts
49 → 7

localize12.0ms

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))))

rewrite18.0ms

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)))
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))))

series938.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt (- 1.0 (* x y)))
234.0ms
(cbrt (- 1.0 (* x y)))
240.0ms
(cbrt (- 1.0 (* x y)))
222.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify48.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03541088
113681031
25001970

prune237.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh055
Picked011
Done011
Total988106

Merged error: 0b

Counts
106 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-div
35×cbrt-prod
26×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
13×flip3-- flip--
12×pow1
9×unpow-prod-down pow1/3
8×frac-times
7×add-exp-log
6×swap-sqr 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 → 105
Calls
4 calls:
3.0ms
(cbrt (cbrt (- 1.0 (* x y))))
7.0ms
(cbrt (* (cbrt (- 1.0 (* x y))) (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)

series1.1s

Counts
4 → 12
Calls
4 calls:
234.0ms
(cbrt (cbrt (- 1.0 (* x y))))
225.0ms
(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
224.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
415.0ms
(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)

simplify77.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06161425
124731335
250011290

prune328.0ms

Filtered
117 candidates to 85 candidates (72.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1170117
Fresh055
Picked011
Done022
Total1178125

Merged error: 0b

Counts
125 → 8

regimes79.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0185
1235
2245
3245

end0.0ms

sample585.0ms

Algorithm
intervals
Results
423.0ms10636×body80valid

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