Details

Time bar (total: 7.4s)

sample44.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms264×body80nan

simplify141.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0216
1616
21926
36496
416026
527206
636676
743876
847116
949386
1050026

prune4.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (+ y 0.5) (log y)))
0.0b
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.1b
(* (+ y 0.5) (log y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
19×*-un-lft-identity
14×add-sqr-sqrt
12×log-prod
10×add-cube-cbrt
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in diff-log add-cbrt-cube associate--r+
4×associate-*r* associate-*l* sum-log
3×sub-neg distribute-lft-out
2×associate-+l- associate-+l+ flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
1×+-commutative associate--l- pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
3.0ms
(- x (* (+ y 0.5) (log y)))
8.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
10.0ms
(* (+ y 0.5) (log y))

series362.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- x (* (+ y 0.5) (log y)))
53.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
41.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
232.0ms
(* (+ y 0.5) (log y))

simplify44.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0446640
11624597
25002591

prune346.0ms

Filtered
93 candidates to 69 candidates (74.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New85893
Fresh000
Picked011
Done000
Total85994

Merged error: 0.0b

Counts
94 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
49×distribute-rgt-in distribute-lft-in
48×log-prod
30×cbrt-prod
25×*-un-lft-identity
24×associate-+l+
23×add-sqr-sqrt add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×flip3-+ associate-*l/ flip-+ add-log-exp
4×associate-*r/ associate-*l* frac-add
3×pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ pow1/3
1×+-commutative associate-*r* sum-log *-commutative distribute-lft-out
Counts
4 → 108
Calls
4 calls:
8.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
11.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.6s

Counts
4 → 12
Calls
4 calls:
452.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
761.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
172.0ms
(cbrt y)
174.0ms
(cbrt y)

simplify71.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06401104
12507971
25003939

prune544.0ms

Filtered
120 candidates to 91 candidates (75.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1173120
Fresh347
Picked011
Done011
Total1209129

Merged error: 0b

Counts
129 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (* (cbrt y) (cbrt y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
29×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×add-cbrt-cube 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 → 74
Calls
4 calls:
1.0ms
(cbrt y)
6.0ms
(* (cbrt y) (cbrt y))
2.0ms
(cbrt (cbrt y))
4.0ms
(cbrt (* (cbrt y) (cbrt y)))

series899.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt y)
201.0ms
(* (cbrt y) (cbrt y))
242.0ms
(cbrt (cbrt y))
277.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify98.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0169347
1616317
23384286
35002283

prune506.0ms

Filtered
86 candidates to 67 candidates (77.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New85186
Fresh156
Picked011
Done112
Total87895

Merged error: 0b

Counts
95 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(cbrt (cbrt y))
4.4b
(pow y 2/9)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))
2.0ms
(pow y 2/9)

series772.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt y)
182.0ms
(cbrt y)
248.0ms
(cbrt (cbrt y))
169.0ms
(pow y 2/9)

simplify48.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0138202
1384188
21367182
35001172

prune357.0ms

Filtered
65 candidates to 51 candidates (78.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh055
Picked011
Done022
Total65873

Merged error: 0b

Counts
73 → 8

regimes224.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03021
13021

end0.0ms

sample1.2s

Algorithm
intervals
Results
343.0ms8036×body80valid
276.0ms7967×body80nan

Profiling

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