Details

Time bar (total: 6.3s)

sample34.0ms

Algorithm
intervals
Results
8.0ms29×body1280valid
7.0ms181×body80valid
5.0ms29×body640valid
2.0ms18×body320valid
1.0ms10×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.5b
(/ (* x (/ (sin y) y)) z)

rewrite39.0ms

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:
14.0ms
(* x (/ (sin y) y))
8.0ms
(/ (sin y) y)
14.0ms
(/ (* x (/ (sin y) y)) z)

series138.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* x (/ (sin y) y))
23.0ms
(/ (sin y) y)
63.0ms
(/ (* x (/ (sin y) y)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0333511
11655443
25001443

prune224.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.5b
(/ (pow (* x (/ (sin y) y)) 1) z)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt times-frac
29×add-cube-cbrt *-un-lft-identity
22×add-exp-log
13×associate-*r*
12×add-cbrt-cube
8×div-exp associate-/l*
6×associate-/r*
5×pow1
4×unpow-prod-down prod-exp sqr-pow
3×cbrt-undiv expm1-log1p-u associate-*l* pow-exp log1p-expm1-u div-inv add-log-exp
2×frac-2neg clear-num cbrt-unprod unswap-sqr
1×pow-to-exp associate-*r/ pow-prod-down *-commutative
Counts
3 → 104
Calls
3 calls:
14.0ms
(* x (/ (sin y) y))
8.0ms
(/ (sin y) y)
9.0ms
(/ (pow (* x (/ (sin y) y)) 1) z)

series139.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* x (/ (sin y) y))
28.0ms
(/ (sin y) y)
62.0ms
(/ (pow (* x (/ (sin y) y)) 1) z)

simplify59.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0359681
11802620
25001617

prune277.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.6b
(/ 1 (/ (/ z x) (/ (sin y) y)))
0.9b
(/ (/ z x) (/ (sin y) y))

rewrite168.0ms

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:
8.0ms
(/ (sin y) y)
49.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
17.0ms
(/ (/ z x) (/ (sin y) y))

series185.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (sin y) y)
67.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
95.0ms
(/ (/ z x) (/ (sin y) y))

simplify178.0ms

Algorithm
egg-herbie
Counts
989 → 989
Iterations

Useful iterations: 1 (63.0ms)

IterNodesCost
0371313416
1500212929

prune2.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sin y) y)
1.1b
(/ (/ (sin y) y) (/ z x))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×div-inv
16×add-exp-log associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 246
Calls
2 calls:
8.0ms
(/ (sin y) y)
20.0ms
(/ (/ (sin y) y) (/ z x))

series102.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (sin y) y)
73.0ms
(/ (/ (sin y) y) (/ z x))

simplify53.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013162723
150022632

prune866.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (2.9b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1144
2144

end0.0ms

sample1.1s

Algorithm
intervals
Results
269.0ms996×body1280valid
226.0ms5821×body80valid
183.0ms1009×body640valid
65.0ms547×body320valid
24.0ms290×body160valid