Details

Time bar (total: 3.5s)

sample26.0ms

Algorithm
intervals
Results
7.0ms189×body80valid
5.0ms19×body1280valid
4.0ms24×body640valid
2.0ms16×body320valid
1.0msbody160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2163
3173
4173

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
add-exp-log add-cbrt-cube
pow1
associate-*l* associate-/r* associate-/l*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

series81.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25002289

prune126.0ms

Filtered
65 candidates to 48 candidates (73.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New58765
Fresh000
Picked101
Done000
Total59766

Merged error: 0.0b

Counts
66 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×associate-*r*
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
pow1
cbrt-unprod
associate-*l*
associate-*r/ div-exp pow-prod-down
unswap-sqr
cbrt-undiv rec-exp 1-exp un-div-inv *-commutative add-log-exp
div-inv
Counts
2 → 60
Calls
2 calls:
7.0ms
(* x (* (sin y) (/ 1 y)))
7.0ms
(* (sin y) (/ 1 y))

series77.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* x (* (sin y) (/ 1 y)))
28.0ms
(* (sin y) (/ 1 y))

simplify36.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0282337
11251269
25001252

prune100.0ms

Filtered
66 candidates to 42 candidates (63.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New65166
Fresh066
Picked011
Done000
Total65873

Merged error: 0.0b

Counts
73 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (/ (sin y) y))
0.3b
(cbrt (/ (sin y) y))
0.3b
(cbrt (/ (sin y) y))
0.3b
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
12.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))

series554.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (/ (sin y) y))
132.0ms
(cbrt (/ (sin y) y))
131.0ms
(cbrt (/ (sin y) y))
164.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
02961415
19981364
250021289

prune385.0ms

Filtered
156 candidates to 126 candidates (80.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1560156
Fresh066
Picked011
Done011
Total1568164

Merged error: 0.0b

Counts
164 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series723.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt x) (cbrt x))
178.0ms
(cbrt x)
172.0ms
(cbrt x)
175.0ms
(cbrt x)

simplify88.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune166.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done022
Total85893

Merged error: 0.0b

Counts
93 → 8

regimes126.0ms

Accuracy

0% (0.2b 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
0114
1114

end0.0ms

sample800.0ms

Algorithm
intervals
Results
219.0ms906×body1280valid
185.0ms5191×body80valid
154.0ms985×body640valid
62.0ms583×body320valid
30.0ms335×body160valid

Profiling

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