Details

Time bar (total: 3.4s)

sample33.0ms

Algorithm
intervals
Results
9.0ms162×body80valid
8.0ms32×body1280valid
5.0ms33×body640valid
2.0ms18×body320valid
1.0ms11×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: 0.2b

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*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
7.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)

series82.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0218334
1998302
25001302

prune149.0ms

Pruning

8 alts after pruning (7 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
(/ y (sin y))
0.3b
(/ 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×expm1-log1p-u associate-*l* cbrt-unprod log1p-expm1-u 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 → 182
Calls
3 calls:
21.0ms
(* x (/ 1 (/ y (sin y))))
2.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series113.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* x (/ 1 (/ y (sin y))))
23.0ms
(/ y (sin y))
30.0ms
(/ 1 (/ y (sin y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05761226
129061067
25001946

prune347.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 101
Calls
2 calls:
2.0ms
(/ y (sin y))
5.0ms
(/ x (/ y (sin y)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ y (sin y))
55.0ms
(/ x (/ y (sin y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0371723
11637687
25002686

prune237.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
0.6b
(cbrt (/ y (sin y)))
0.6b
(cbrt (/ y (sin y)))
0.6b
(cbrt (/ y (sin y)))

rewrite29.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 152
Calls
4 calls:
18.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
2.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))

series625.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
141.0ms
(cbrt (/ y (sin y)))
143.0ms
(cbrt (/ y (sin y)))
156.0ms
(cbrt (/ y (sin y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
02931453
110071402
250011340

prune509.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes83.0ms

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
063
163

end0.0ms

sample831.0ms

Algorithm
intervals
Results
227.0ms925×body1280valid
199.0ms5207×body80valid
158.0ms997×body640valid
67.0ms560×body320valid
24.0ms311×body160valid