Details

Time bar (total: 8.1s)

sample37.0ms

Algorithm
intervals
Results
12.0ms259×body80valid
10.0ms259×body80nan

simplify144.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.0b
(- x (* (+ y 0.5) (log y)))
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:
10.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms
(- x (* (+ y 0.5) (log y)))
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms
(* (+ y 0.5) (log y))

series375.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
42.0ms
(- x (* (+ y 0.5) (log y)))
43.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
240.0ms
(* (+ y 0.5) (log y))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0446640
11624597
25001591

prune253.0ms

Filtered
93 candidates to 69 candidates (74.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New86793
Fresh000
Picked011
Done000
Total86894

Merged error: 0.0b

Counts
94 → 8

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)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite30.0ms

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:
10.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
13.0ms
(+ (* (+ 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:
468.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
799.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
185.0ms
(cbrt y)
180.0ms
(cbrt y)

simplify76.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06401101
12507971
25003939

prune337.0ms

Filtered
120 candidates to 91 candidates (75.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1173120
Fresh336
Picked101
Done101
Total1226128

Merged error: 0b

Counts
128 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))
4.0ms
(cbrt (* (cbrt y) (cbrt y)))

series895.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt y)
182.0ms
(cbrt y)
248.0ms
(cbrt (cbrt y))
278.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify104.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 4 (100.0ms)

IterNodesCost
0106215
1236195
2753185
33141185
45001180

prune256.0ms

Filtered
57 candidates to 50 candidates (87.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New57057
Fresh055
Picked011
Done000
Total57663

Merged error: 0b

Counts
63 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ y 0.5) (* 2 (log (pow y 1/3))))
0.3b
(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
57×distribute-rgt-in distribute-lft-in
56×log-prod
28×associate-+l+
27×unpow-prod-down
26×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt
10×pow1 add-exp-log
9×add-cbrt-cube sqr-pow
6×flip3-+ associate-*l/ flip-+ add-log-exp
4×associate-*r/ associate-*l* frac-add
3×cbrt-prod pow-unpow pow-prod-down prod-exp cbrt-unprod
2×associate-+r+
1×+-commutative pow-to-exp pow-pow unpow1/3 pow1/3 associate-*r* pow-exp sum-log *-commutative distribute-lft-out
Counts
4 → 123
Calls
4 calls:
10.0ms
(* (+ y 0.5) (* 2 (log (pow y 1/3))))
13.0ms
(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series2.1s

Counts
4 → 12
Calls
4 calls:
458.0ms
(* (+ y 0.5) (* 2 (log (pow y 1/3))))
1.2s
(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
184.0ms
(cbrt y)
189.0ms
(pow y 1/3)

simplify105.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
08081193
13242985
25002937

prune368.0ms

Filtered
135 candidates to 95 candidates (70.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh044
Picked011
Done011
Total1356141

Merged error: 0b

Counts
141 → 6

regimes92.0ms

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
426.0ms8032×body80valid
352.0ms8067×body80nan
0.0ms1×body640valid

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