Details

Time bar (total: 4.5s)

sample14.0ms

Algorithm
intervals
Results
6.0ms238×body80valid
1.0ms8×body1280valid
0.0ms4×body320valid
0.0ms3×body640valid
0.0ms1×body2560valid
0.0ms2×body160valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1193
2293
3413
4513
5793
61343
71693
81853
92133
102263
112263

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
9.0ms
(+ x (/ (- x y) 2.0))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(+ x (/ (- x y) 2.0))

simplify86.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 4 (83.0ms)

IterNodesCost
09789
126181
277381
3372781
4500180

prune48.0ms

Filtered
21 candidates to 17 candidates (81.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New16521
Fresh000
Picked011
Done000
Total16622

Merged error: 0.0b

Counts
22 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series734.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt x) (cbrt x))
180.0ms
(cbrt x)
185.0ms
(cbrt x)
175.0ms
(cbrt x)

simplify104.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune197.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New90393
Fresh134
Picked011
Done011
Total91899

Merged error: 0.0b

Counts
99 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
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 → 103
Calls
4 calls:
20.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series1.8s

Counts
4 → 12
Calls
4 calls:
392.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
408.0ms
(cbrt (+ x (/ (- x y) 2.0)))
409.0ms
(cbrt (+ x (/ (- x y) 2.0)))
608.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
02701159
17751094
227231004
35002981

prune242.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh055
Picked011
Done022
Total1158123

Merged error: 0.0b

Counts
123 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))
0.5b
(cbrt x)
30.8b
(cbrt (pow x 2))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×pow1 add-exp-log expm1-log1p-u unpow-prod-down add-cbrt-cube log1p-expm1-u add-log-exp
2×pow1/3
1×fma-udef unpow2 sqr-pow
Counts
3 → 41
Calls
3 calls:
1.0ms
(fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))
1.0ms
(cbrt x)
2.0ms
(cbrt (pow x 2))

series425.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))
181.0ms
(cbrt x)
181.0ms
(cbrt (pow x 2))

simplify51.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0146220
1390196
21375189
35001189

prune118.0ms

Filtered
50 candidates to 42 candidates (84.0%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New50050
Fresh044
Picked011
Done033
Total50858

Merged error: 0.0b

Counts
58 → 8

regimes81.0ms

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
073
173

end0.0ms

sample352.0ms

Algorithm
intervals
Results
174.0ms7411×body80valid
25.0ms250×body1280valid
12.0ms145×body640valid
10.0ms81×body2560valid
4.0ms72×body320valid
2.0ms42×body160valid

Profiling

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