Details

Time bar (total: 6.5s)

sample47.0ms

Algorithm
intervals
Results
13.0ms32×body1280valid
11.0ms177×body80valid
7.0ms28×body640valid
3.0ms15×body320valid
1.0ms4×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
13.0ms
(* x (/ (sin y) y))
5.0ms
(/ (sin y) y)

series99.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* x (/ (sin y) y))
37.0ms
(/ (sin y) y)

simplify31.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25002289

prune122.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/r/
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 176
Calls
3 calls:
19.0ms
(* x (/ 1 (/ y (sin y))))
5.0ms
(/ 1 (/ y (sin y)))
2.0ms
(/ y (sin y))

series102.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* x (/ 1 (/ y (sin y))))
25.0ms
(/ 1 (/ y (sin y)))
25.0ms
(/ y (sin y))

simplify67.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05671204
128851046
25001925

prune298.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
0.3b
(cbrt (/ y (sin y)))
0.3b
(cbrt (/ y (sin y)))
0.3b
(cbrt (/ y (sin y)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
2636×times-frac
1404×cbrt-prod
1154×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
126×div-inv
53×associate-/l*
21×cbrt-div
18×associate-/r/
16×associate-/r*
13×add-exp-log
7×pow1
6×div-exp add-cbrt-cube
5×pow1/3
4×add-log-exp
3×cbrt-undiv pow-div
2×pow-flip
1×rec-exp frac-2neg 1-exp clear-num associate-/l/ inv-pow
Counts
4 → 1004
Calls
4 calls:
33.0ms
(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
1.0ms
(cbrt (/ y (sin y)))
1.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))

series584.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
129.0ms
(cbrt (/ y (sin y)))
133.0ms
(cbrt (/ y (sin y)))
139.0ms
(cbrt (/ y (sin y)))

simplify212.0ms

Algorithm
egg-herbie
Counts
1016 → 1016
Iterations

Useful iterations: 1 (58.0ms)

IterNodesCost
0360320942
1500220033

prune2.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
0.3b
(cbrt (/ y (sin y)))
0.3b
(cbrt (/ y (sin y)))
0.3b
(cbrt (/ y (sin y)))

rewrite32.0ms

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
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
21.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
1.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))

series599.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
141.0ms
(cbrt (/ y (sin y)))
141.0ms
(cbrt (/ y (sin y)))
139.0ms
(cbrt (/ y (sin y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
02851421
19881370
250011309

prune542.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes39.0ms

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
0104
1104

end0.0ms

sample829.0ms

Algorithm
intervals
Results
220.0ms916×body1280valid
196.0ms5167×body80valid
163.0ms1028×body640valid
75.0ms614×body320valid
22.0ms275×body160valid