Details

Time bar (total: 2.6s)

sample16.0ms

Algorithm
intervals
Results
8.0ms347×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2443
3623
4633
5633

prune1.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×add-cube-cbrt *-un-lft-identity
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×sub-neg fma-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
3.0ms
(- 1.0 (* x y))
5.0ms
(* x (- 1.0 (* x y)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- 1.0 (* x y))
40.0ms
(* x (- 1.0 (* x y)))

simplify111.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0171294
1703256
23872252
35002250

prune93.0ms

Filtered
58 candidates to 37 candidates (63.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New49958
Fresh000
Picked101
Done000
Total50959

Merged error: 0.0b

Counts
59 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* x y))))
0.2b
(* x (- (* 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
2×expm1-log1p-u log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 fma-def 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 → 41
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* x (- (* x y))))
5.0ms
(* x (- (* x y)))

series63.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* x 1.0) (* x (- (* x y))))
24.0ms
(* x (- (* x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0191230
11093202
25002198

prune84.0ms

Filtered
47 candidates to 37 candidates (78.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh178
Picked011
Done000
Total47956

Merged error: 0.0b

Counts
56 → 9

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))
52.2b
(fma (- y) x (* y x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity prod-diff
5×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube add-log-exp
3×expm1-log1p-u sub-neg fma-neg associate-*r* associate-*l* log1p-expm1-u
2×flip3-- associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 62
Calls
3 calls:
3.0ms
(- 1.0 (* x y))
5.0ms
(* x (- 1.0 (* x y)))
1.0ms
(fma (- y) x (* y x))

series92.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- 1.0 (* x y))
39.0ms
(* x (- 1.0 (* x y)))
23.0ms
(fma (- y) x (* y x))

simplify112.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0181344
1748299
24048295
35002293

prune127.0ms

Filtered
71 candidates to 48 candidates (67.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New71071
Fresh077
Picked011
Done011
Total71980

Merged error: 0.0b

Counts
80 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

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

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×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 (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))

series909.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
232.0ms
(cbrt (- 1.0 (* x y)))
222.0ms
(cbrt (- 1.0 (* x y)))
227.0ms
(cbrt (- 1.0 (* x y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03691126
114301071
250011010

prune234.0ms

Filtered
107 candidates to 83 candidates (77.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1061107
Fresh066
Picked011
Done022
Total10610116

Merged error: 0b

Counts
116 → 10

regimes87.0ms

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

sample412.0ms

Algorithm
intervals
Results
241.0ms10713×body80valid

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