Details

Time bar (total: 7.4s)

sample35.0ms

Algorithm
intervals
Results
7.0ms192×body80valid
7.0ms27×body1280valid
5.0ms32×body640valid
2.0ms20×body320valid
1.0ms10×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: 4.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
3.9b
(/ (* x (/ (sin y) y)) z)

rewrite43.0ms

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:
18.0ms
(* x (/ (sin y) y))
8.0ms
(/ (sin y) y)
14.0ms
(/ (* x (/ (sin y) y)) z)

series152.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* x (/ (sin y) y))
29.0ms
(/ (sin y) y)
70.0ms
(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0333511
11655443
25001443

prune204.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.2b
(/ (sin y) y)
2.2b
(/ x (/ z (/ (sin y) y)))

rewrite56.0ms

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:
9.0ms
(/ z (/ (sin y) y))
8.0ms
(/ (sin y) y)
21.0ms
(/ x (/ z (/ (sin y) y)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ z (/ (sin y) y))
26.0ms
(/ (sin y) y)
86.0ms
(/ x (/ z (/ (sin y) y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011172974
150012852

prune763.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.2b
(/ (sin y) y)
0.4b
(/ 1 (/ (/ z (/ (sin y) y)) x))
2.0b
(/ (/ z (/ (sin y) y)) x)

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
2208×times-frac
976×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
155×associate-/r*
76×div-inv
54×add-exp-log
53×associate-/l*
36×div-exp
34×add-cbrt-cube
20×cbrt-undiv
18×associate-/r/
5×pow1
4×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
4 → 877
Calls
4 calls:
9.0ms
(/ z (/ (sin y) y))
8.0ms
(/ (sin y) y)
47.0ms
(/ 1 (/ (/ z (/ (sin y) y)) x))
23.0ms
(/ (/ z (/ (sin y) y)) x)

series259.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ z (/ (sin y) y))
25.0ms
(/ (sin y) y)
85.0ms
(/ 1 (/ (/ z (/ (sin y) y)) x))
79.0ms
(/ (/ z (/ (sin y) y)) x)

simplify153.0ms

Algorithm
egg-herbie
Counts
889 → 889
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
0329911439
1500110819

prune2.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (/ (sin y) y))
0.2b
(/ (sin y) y)
3.4b
(/ (/ x z) (/ 1 (/ (sin y) y)))

rewrite127.0ms

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:
10.0ms
(/ 1 (/ (sin y) y))
12.0ms
(/ (sin y) y)
34.0ms
(/ (/ x z) (/ 1 (/ (sin y) y)))

series135.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ 1 (/ (sin y) y))
26.0ms
(/ (sin y) y)
85.0ms
(/ (/ x z) (/ 1 (/ (sin y) y)))

simplify147.0ms

Algorithm
egg-herbie
Counts
779 → 779
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
0382510806
1500110112

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes108.0ms

Accuracy

44.2% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.3b

bsearch34.0ms

Steps
ItersRangePoint
7
-3.0074090743595156e-87
-1.0554868907289518e-88
-8.210199914794309e-88

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample1.1s

Algorithm
intervals
Results
271.0ms994×body1280valid
241.0ms5900×body80valid
173.0ms997×body640valid
67.0ms546×body320valid
25.0ms302×body160valid