Details

Time bar (total: 2.4s)

analyze239.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%74.9%25.1%6
6.2%68.6%25.1%7
10.1%64.7%25.1%8
17.2%32.8%50.1%9
23%26.9%50.1%10
26.8%23.1%50.1%11
31.6%18.3%50.1%12
35.2%14.7%50.1%13
37.5%12.4%50.1%14

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify116.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (114.0ms)

IterNodesCost
0496412
1496412

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

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)
0.2b
(* (+ 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- flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
1×+-commutative associate--l- associate-+l+ pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 78
Calls
4 calls:
3.0ms
(- x (* (+ y 0.5) (log y)))
7.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms
(* (+ y 0.5) (log y))

series58.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- x (* (+ y 0.5) (log y)))
15.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
13.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
20.0ms
(* (+ y 0.5) (log y))

simplify56.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049901064
149901064

prune124.0ms

Filtered
67 candidates to 90 candidates (-34.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New83790
Fresh000
Picked011
Done000
Total83891

Merged error: 0.0b

Counts
91 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt associate-+l+
12×associate-+r+
10×associate-*l/
7×pow1
6×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
5×associate-*r*
4×associate-*l* frac-add
3×pow1/3
2×log-pow distribute-lft-out
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 109
Calls
4 calls:
7.0ms
(* (+ y 0.5) (log (cbrt y)))
13.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series207.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (+ y 0.5) (log (cbrt y)))
108.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
21.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify73.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049421243
149421243

prune162.0ms

Filtered
92 candidates to 121 candidates (-31.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1201121
Fresh426
Picked011
Done011
Total1245129

Merged error: 0.0b

Counts
129 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))
2.0ms
(cbrt (cbrt y))

series104.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
31.0ms
(cbrt (cbrt y))
30.0ms
(cbrt (cbrt y))

simplify36.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04926282
14926282

prune87.0ms

Filtered
46 candidates to 62 candidates (-34.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh022
Picked011
Done022
Total62567

Merged error: 0.0b

Counts
67 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-sqr-sqrt
14×*-un-lft-identity associate-*r*
13×sqrt-prod
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt
9×add-log-exp
6×associate-*l/
5×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
3×flip3-+ log-pow flip-+
2×sum-log *-commutative distribute-lft-out unswap-sqr
1×+-commutative associate-+l- sub-neg rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 diff-log
Counts
4 → 79
Calls
4 calls:
1.0ms
(sqrt (log y))
5.0ms
(+ (- x (* (* (+ y 0.5) (sqrt (log y))) (sqrt (log y)))) y)
7.0ms
(* (+ y 0.5) (sqrt (log y)))
10.0ms
(* (* (+ y 0.5) (sqrt (log y))) (sqrt (log y)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(sqrt (log y))
10.0ms
(+ (- x (* (* (+ y 0.5) (sqrt (log y))) (sqrt (log y)))) y)
22.0ms
(* (+ y 0.5) (sqrt (log y)))
23.0ms
(* (* (+ y 0.5) (sqrt (log y))) (sqrt (log y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04980767
14980767

prune77.0ms

Filtered
55 candidates to 91 candidates (-65.5%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done033
Total91596

Merged error: 0.0b

Counts
96 → 5

regimes281.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06312
16312

end0.0ms

sample524.0ms

Algorithm
intervals
Results
347.0ms7995×body80valid
2.0ms42×body80invalid
1.0ms3×body1280valid
0.0ms2×body640valid

Profiling

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