Details

Time bar (total: 6.2s)

sample73.0ms

Algorithm
intervals
Results
27.0ms92×body1280valid
14.0ms77×body640valid
12.0ms287×body80valid
4.0ms30×body320valid
2.0ms20×body160valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1284
2564
31024
41534
53344
69244
719124
850014

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:

0.0b
(* (cosh x) (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite13.0ms

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 cosh-def div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 65
Calls
2 calls:
7.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

series102.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (cosh x) (/ (sin y) y))
26.0ms
(/ (sin y) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0271408
11085363
25001351

prune172.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 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×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 184
Calls
3 calls:
15.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series125.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
22.0ms
(/ y (sin y))
26.0ms
(/ 1 (/ y (sin y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06281345
130201171
250021048

prune389.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b
(/ 1 (sin y))
0.2b
(/ (/ 1 y) (/ 1 (sin y)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
426×add-sqr-sqrt
397×*-un-lft-identity
391×add-cube-cbrt
174×associate-*r*
105×add-exp-log
66×div-exp
57×div-inv
35×add-cbrt-cube
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/r* associate-/l*
10×unswap-sqr
6×pow1
5×cbrt-unprod
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/ inv-pow
Counts
3 → 485
Calls
3 calls:
43.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
8.0ms
(/ 1 (sin y))
12.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
12.0ms
(/ 1 (sin y))
25.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
494 → 494
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
018514747
150014109

prune862.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite240.0ms

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:
3.0ms
(cbrt (/ y (sin y)))
3.0ms
(cbrt (/ y (sin y)))
3.0ms
(cbrt (/ y (sin y)))
13.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

series614.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (/ y (sin y)))
145.0ms
(cbrt (/ y (sin y)))
139.0ms
(cbrt (/ y (sin y)))
185.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
02931453
110151402
250021340

prune579.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes161.0ms

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
074
174

end0.0ms

sample2.3s

Algorithm
intervals
Results
905.0ms2967×body1280valid
473.0ms2497×body640valid
367.0ms8518×body80valid
176.0ms1254×body320valid
58.0ms637×body160valid