Details

Time bar (total: 5.8s)

sample33.0ms

Algorithm
intervals
Results
7.0ms183×body80valid
7.0ms39×body640valid
7.0ms24×body1280valid
2.0ms14×body320valid
1.0ms12×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.4b
(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 89
Calls
3 calls:
8.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
5.0ms
(/ (* x (/ (sin y) y)) z)

series152.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
71.0ms
(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0333511
11655443
25001443

prune208.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ 1 (/ y (sin y)))
0.1b
(/ y (sin y))
2.4b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
64×add-exp-log
44×associate-*r*
34×add-cbrt-cube
30×div-exp
19×associate-/r*
14×cbrt-undiv prod-exp
11×div-inv
7×pow1 associate-/l*
6×rec-exp 1-exp cbrt-unprod
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 215
Calls
4 calls:
24.0ms
(* x (/ 1 (/ y (sin y))))
5.0ms
(/ 1 (/ y (sin y)))
2.0ms
(/ y (sin y))
9.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series178.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* x (/ 1 (/ y (sin y))))
25.0ms
(/ 1 (/ y (sin y)))
22.0ms
(/ y (sin y))
73.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify87.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07201479
137141260
250021123

prune422.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.8b
(/ 1 (/ (/ z x) (/ (sin y) y)))
1.2b
(/ (/ z x) (/ (sin y) y))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
2564×times-frac
1114×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
190×associate-/r*
139×div-inv
61×add-exp-log
43×div-exp
35×add-cbrt-cube
22×cbrt-undiv
19×associate-/l*
6×associate-/r/
5×rec-exp 1-exp
4×pow1
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 980
Calls
3 calls:
3.0ms
(/ (sin y) y)
42.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
10.0ms
(/ (/ z x) (/ (sin y) y))

series207.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (sin y) y)
67.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
110.0ms
(/ (/ z x) (/ (sin y) y))

simplify180.0ms

Algorithm
egg-herbie
Counts
989 → 989
Iterations

Useful iterations: 1 (63.0ms)

IterNodesCost
0368713416
1500112929

prune2.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* 1 (/ (sin y) y)))
0.1b
(/ (sin y) y)
2.4b
(/ (* x (* 1 (/ (sin y) y))) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
28×add-cbrt-cube
18×prod-exp
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
11×div-exp
10×cbrt-unprod
8×pow1
7×cbrt-undiv
6×associate-/r*
4×1-exp associate-*r/ associate-/l*
3×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u add-log-exp
2×frac-2neg clear-num div-inv
1×associate-*r* *-commutative associate-/l/
Counts
3 → 84
Calls
3 calls:
10.0ms
(* x (* 1 (/ (sin y) y)))
3.0ms
(/ (sin y) y)
11.0ms
(/ (* x (* 1 (/ (sin y) y))) z)

series159.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* x (* 1 (/ (sin y) y)))
26.0ms
(/ (sin y) y)
74.0ms
(/ (* x (* 1 (/ (sin y) y))) z)

simplify48.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0375524
11747428
25001415

prune177.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes131.0ms

Accuracy

93.2% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.3b

bsearch87.0ms

Steps
ItersRangePoint
7
1.6952146128089053e+38
2.0980595264108282e+40
9.919589231332242e+38
10
-2.9195929740178566e+33
-5.361058264423051e+22
-1.0791403023164479e+32

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

sample1.0s

Algorithm
intervals
Results
276.0ms979×body1280valid
241.0ms5802×body80valid
202.0ms1064×body640valid
78.0ms575×body320valid
28.0ms311×body160valid