Details

Time bar (total: 7.1s)

sample34.0ms

Algorithm
intervals
Results
11.0ms257×body80valid
9.0ms267×body80nan

simplify138.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0216
1616
21926
36496
416026
527206
636676
743876
847116
949566
1050016

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

localize12.0ms

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))

series384.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
38.0ms
(- x (* (+ y 0.5) (log y)))
49.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
242.0ms
(* (+ y 0.5) (log y))

simplify48.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0446640
11624599
25001591

prune204.0ms

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: 0b

Counts
94 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ 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)

rewrite28.0ms

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))))
12.0ms
(+ (* (+ 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:
459.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
768.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
173.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify73.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06401104
12507971
25003939

prune337.0ms

Filtered
120 candidates to 91 candidates (75.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1182120
Fresh426
Picked011
Done011
Total1226128

Merged error: 0b

Counts
128 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
0.2b
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
0.6b
(cbrt y)
4.9b
(pow y 1/3)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
4×associate-*l*
3×cbrt-prod unpow-prod-down pow-unpow associate-*r*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-to-exp pow-pow unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod unswap-sqr sqr-pow
Counts
4 → 65
Calls
4 calls:
6.0ms
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
7.0ms
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series1.8s

Counts
4 → 12
Calls
4 calls:
417.0ms
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
1.0s
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
176.0ms
(cbrt y)
180.0ms
(pow y 1/3)

simplify61.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0391537
11772452
25002434

prune238.0ms

Filtered
77 candidates to 59 candidates (76.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh033
Picked011
Done022
Total77683

Merged error: 0b

Counts
83 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y))))
0.1b
(+ (- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y)))) y)
0.3b
(* (log (pow y 1/3)) (+ 1.5 (* 3 y)))
4.9b
(pow y 1/3)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-log-exp
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×pow1 add-exp-log
6×add-cbrt-cube
4×associate-*l*
3×unpow-prod-down pow-unpow associate-*r*
2×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in flip3-+ diff-log associate-*r/ sum-log flip-+ associate--r+
1×+-commutative pow-to-exp associate-+l- flip3-- pow-pow unpow1/3 pow-prod-down pow-exp prod-exp log-pow *-commutative flip-- cbrt-unprod distribute-lft-out unswap-sqr sqr-pow
Counts
4 → 71
Calls
4 calls:
3.0ms
(- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y))))
5.0ms
(+ (- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y)))) y)
6.0ms
(* (log (pow y 1/3)) (+ 1.5 (* 3 y)))
2.0ms
(pow y 1/3)

series774.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y))))
75.0ms
(+ (- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y)))) y)
454.0ms
(* (log (pow y 1/3)) (+ 1.5 (* 3 y)))
175.0ms
(pow y 1/3)

simplify56.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0431598
11861545
25002534

prune176.0ms

Filtered
83 candidates to 60 candidates (72.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New83083
Fresh022
Picked011
Done033
Total83689

Merged error: 0b

Counts
89 → 6

regimes145.0ms

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

sample930.0ms

Algorithm
intervals
Results
330.0ms8040×body80valid
275.0ms7983×body80nan

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