Details

Time bar (total: 3.4s)

analyze239.0ms

Algorithm
search

sample24.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
0.0ms1×body80invalid

simplify139.0ms

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

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))) y) z)
0.0b
(- x (* (+ y 0.5) (log y)))
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.2b
(* (+ y 0.5) (log y))

rewrite24.0ms

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:
7.0ms
(- (+ (- 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)
6.0ms
(* (+ y 0.5) (log y))

series58.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
11.0ms
(- x (* (+ y 0.5) (log y)))
11.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
21.0ms
(* (+ y 0.5) (log y))

simplify47.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0475684
11731613
25002594

prune130.0ms

Filtered
67 candidates to 93 candidates (-38.8%)
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:
9.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
12.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
3.0ms
(cbrt y)
1.0ms
(cbrt y)

series215.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
109.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
21.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify71.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06921152
124321025
25003966

prune171.0ms

Filtered
87 candidates to 120 candidates (-37.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1173120
Fresh426
Picked101
Done011
Total1226128

Merged error: 0b

Counts
128 → 6

localize23.0ms

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)
5.2b
(pow y 1/3)

rewrite32.0ms

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)
3.0ms
(pow y 1/3)

series239.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (+ y 0.5) (* 2 (log (pow y 1/3))))
136.0ms
(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
22.0ms
(cbrt y)
23.0ms
(pow y 1/3)

simplify107.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
08521232
134231012
25002945

prune224.0ms

Filtered
91 candidates to 135 candidates (-48.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh044
Picked011
Done011
Total1356141

Merged error: 0b

Counts
141 → 6

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×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 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt y)

series88.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt y)
21.0ms
(cbrt y)
21.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify123.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (23.0ms)

IterNodesCost
059204
1101188
2205148
3559144
42708128
55002128

prune85.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh033
Picked011
Done022
Total56662

Merged error: 0b

Counts
62 → 6

regimes530.0ms

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
0136
1136

end0.0ms

analyze236.0ms

Algorithm
search

sample524.0ms

Algorithm
intervals
Results
355.0ms8000×body80valid
2.0ms41×body80invalid

Profiling

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