Details

Time bar (total: 7.2s)

sample44.0ms

Algorithm
intervals
Results
13.0ms39×body1280valid
10.0ms183×body80valid
6.0ms28×body640valid
3.0ms16×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.0b
(/ (* x (/ (sin y) y)) z)

rewrite17.0ms

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:
7.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
5.0ms
(/ (* x (/ (sin y) y)) z)

series144.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* x (/ (sin y) y))
27.0ms
(/ (sin y) y)
67.0ms
(/ (* x (/ (sin y) y)) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0333511
11655443
25001443

prune200.0ms

Filtered
98 candidates to 72 candidates (73.5%)
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
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
2.3b
(/ x (/ z (/ (sin y) y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×associate-/r*
23×div-inv
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
9×associate-/l*
6×associate-/r/
3×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
3 → 299
Calls
3 calls:
5.0ms
(/ z (/ (sin y) y))
3.0ms
(/ (sin y) y)
15.0ms
(/ x (/ z (/ (sin y) y)))

series174.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ z (/ (sin y) y))
25.0ms
(/ (sin y) y)
81.0ms
(/ x (/ z (/ (sin y) y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011172974
150012852

prune793.0ms

Filtered
308 candidates to 264 candidates (85.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (/ 1 (/ y (sin y))))
0.1b
(/ 1 (/ y (sin y)))
0.1b
(/ y (sin y))
2.3b
(/ x (/ z (/ 1 (/ y (sin y)))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
2211×times-frac
977×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
197×associate-/r*
76×div-inv
64×add-exp-log
44×div-exp
34×add-cbrt-cube
23×associate-/r/
20×cbrt-undiv
12×associate-/l*
6×rec-exp 1-exp
5×pow1
4×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
4 → 885
Calls
4 calls:
13.0ms
(/ z (/ 1 (/ y (sin y))))
9.0ms
(/ 1 (/ y (sin y)))
2.0ms
(/ y (sin y))
33.0ms
(/ x (/ z (/ 1 (/ y (sin y)))))

series196.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ z (/ 1 (/ y (sin y))))
27.0ms
(/ 1 (/ y (sin y)))
22.0ms
(/ y (sin y))
83.0ms
(/ x (/ z (/ 1 (/ y (sin y)))))

simplify166.0ms

Algorithm
egg-herbie
Counts
897 → 897
Iterations

Useful iterations: 1 (60.0ms)

IterNodesCost
0319011354
1500110577

prune2.0s

Filtered
897 candidates to 584 candidates (65.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.2b
(/ 1 (/ (sin y) y))
2.7b
(/ (/ x z) (/ 1 (/ (sin y) y)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
1985×times-frac
858×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
108×div-inv
61×add-exp-log
60×associate-/r*
43×div-exp
31×add-cbrt-cube
19×cbrt-undiv associate-/l*
16×associate-/r/
6×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 → 770
Calls
3 calls:
3.0ms
(/ (sin y) y)
5.0ms
(/ 1 (/ (sin y) y))
24.0ms
(/ (/ x z) (/ 1 (/ (sin y) y)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
28.0ms
(/ 1 (/ (sin y) y))
76.0ms
(/ (/ x z) (/ 1 (/ (sin y) y)))

simplify149.0ms

Algorithm
egg-herbie
Counts
779 → 779
Iterations

Useful iterations: 1 (59.0ms)

IterNodesCost
0382510806
1500110112

prune1.6s

Filtered
779 candidates to 460 candidates (59.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes128.0ms

Accuracy

10.3% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02617
12617

end0.0ms

sample1.0s

Algorithm
intervals
Results
289.0ms1039×body1280valid
246.0ms5858×body80valid
178.0ms999×body640valid
77.0ms535×body320valid
26.0ms290×body160valid