Details

Time bar (total: 10.7s)

sample41.0ms

Algorithm
intervals
Results
10.0ms258×body80valid
8.0ms235×body80nan

simplify144.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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)))
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)))
7.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
9.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms
(* (+ y 0.5) (log y))

series442.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- x (* (+ y 0.5) (log y)))
66.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
55.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
276.0ms
(* (+ y 0.5) (log y))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0446640
11624597
25002591

prune495.0ms

Filtered
93 candidates to 69 candidates (25.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New84993
Fresh000
Picked011
Done000
Total841094

Merged error: 0.0b

Counts
94 → 10

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)

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))))
15.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.9s

Counts
4 → 12
Calls
4 calls:
550.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
948.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
211.0ms
(cbrt y)
219.0ms
(cbrt y)

simplify72.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06401104
12507971
25003939

prune1.6s

Filtered
120 candidates to 91 candidates (24.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh268
Picked011
Done011
Total1219130

Merged error: 0.0b

Counts
130 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
0.2b
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
0.6b
(cbrt y)
5.1b
(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))) (* (log (cbrt y)) 0.5))
6.0ms
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series2.0s

Counts
4 → 12
Calls
4 calls:
1.0s
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
516.0ms
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
203.0ms
(cbrt y)
193.0ms
(pow y 1/3)

simplify60.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0391539
11772452
25002434

prune707.0ms

Filtered
77 candidates to 60 candidates (22.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh066
Picked011
Done022
Total77986

Merged error: 0.0b

Counts
86 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
0.1b
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.4b
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
0.4b
(* (sqrt (+ y 0.5)) (log y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
21×add-sqr-sqrt
18×log-prod add-log-exp
15×distribute-rgt-in add-cube-cbrt distribute-lft-in
14×sqrt-div associate-*l*
12×pow1
11×add-exp-log add-cbrt-cube
10×associate-*l/
9×sqrt-prod
8×flip3-+ flip-+
5×diff-log associate-*r*
4×frac-times pow-prod-down prod-exp sum-log cbrt-unprod distribute-lft-out
2×associate-+l- sub-neg associate-+l+ associate-*r/ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative associate--l- flip3-- associate--l+ log-pow flip-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
7.0ms
(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
5.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
12.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
7.0ms
(* (sqrt (+ y 0.5)) (log y))

series529.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
59.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
282.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
120.0ms
(* (sqrt (+ y 0.5)) (log y))

simplify62.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06591214
124541037
250011008

prune812.0ms

Filtered
121 candidates to 76 candidates (37.2%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1210121
Fresh055
Picked011
Done033
Total1219130

Merged error: 0.0b

Counts
130 → 9

regimes425.0ms

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

sample1.1s

Algorithm
intervals
Results
326.0ms8045×body80valid
267.0ms7851×body80nan
0.0ms1×body320valid

Profiling

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