Details

Time bar (total: 3.4s)

sample36.0ms

Algorithm
intervals
Results
9.0ms157×body80valid
8.0ms30×body1280valid
7.0ms38×body640valid
3.0ms22×body320valid
1.0ms9×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (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*
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:
7.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)

series80.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)

simplify31.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25002289

prune127.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.2b
(/ 1 (/ y (sin y)))

rewrite37.0ms

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:
22.0ms
(* x (/ 1 (/ y (sin y))))
2.0ms
(/ y (sin y))
5.0ms
(/ 1 (/ y (sin y)))

series97.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* x (/ 1 (/ y (sin y))))
21.0ms
(/ y (sin y))
24.0ms
(/ 1 (/ y (sin y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05671204
128851046
25001925

prune296.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/r/
Counts
2 → 97
Calls
2 calls:
7.0ms
(/ x (/ y (sin y)))
2.0ms
(/ y (sin y))

series70.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ x (/ y (sin y)))
21.0ms
(/ y (sin y))

simplify46.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0365711
11625675
25002674

prune232.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:
1.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))
4.0ms
(cbrt (/ y (sin y)))
18.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

series566.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(cbrt (/ y (sin y)))
134.0ms
(cbrt (/ y (sin y)))
131.0ms
(cbrt (/ y (sin y)))
170.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

simplify41.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
02851421
19961370
250011309

prune492.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes74.0ms

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
0103
1123
2123

end0.0ms

sample966.0ms

Algorithm
intervals
Results
279.0ms5161×body80valid
247.0ms956×body1280valid
175.0ms1001×body640valid
81.0ms582×body320valid
28.0ms300×body160valid