Details

Time bar (total: 4.4s)

sample15.0ms

Algorithm
intervals
Results
7.0ms341×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)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* x (- 1.0 (* x y)))

simplify89.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122130
1534113
22890113
35001113

prune49.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:
3.0ms
(+ (* x 1.0) (* x (neg (* x y))))
5.0ms
(* x (neg (* x y)))

series59.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* x 1.0) (* x (neg (* x y))))
20.0ms
(* x (neg (* x y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0181210
11035183
25001179

prune69.0ms

Filtered
42 candidates to 32 candidates (76.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh246
Picked011
Done000
Total43649

Merged error: 0.0b

Counts
49 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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))))

rewrite19.0ms

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))))

series1.1s

Counts
4 → 12
Calls
4 calls:
287.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
268.0ms
(cbrt (* x (- 1.0 (* x y))))
266.0ms
(cbrt (* x (- 1.0 (* x y))))
270.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04271092
116601027
25001950

prune233.0ms

Filtered
84 candidates to 67 candidates (79.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh044
Picked011
Done011
Total83790

Merged error: 0b

Counts
90 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (cbrt (* x (- 1.0 (* x y)))))
0.9b
(pow (cbrt (cbrt (* x (- 1.0 (* x y))))) 4)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
12×cbrt-div
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×unpow-prod-down
6×associate-*r/
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-- flip--
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 64
Calls
4 calls:
2.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
2.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
2.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
4.0ms
(pow (cbrt (cbrt (* x (- 1.0 (* x y))))) 4)

series1.8s

Counts
4 → 12
Calls
4 calls:
344.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
341.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
340.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
766.0ms
(pow (cbrt (cbrt (* x (- 1.0 (* x y))))) 4)

simplify49.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04041047
11533997
25001968

prune266.0ms

Filtered
76 candidates to 63 candidates (82.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh044
Picked011
Done022
Total76783

Merged error: 0b

Counts
83 → 7

regimes85.0ms

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

sample381.0ms

Algorithm
intervals
Results
219.0ms10651×body80valid

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