Details

Time bar (total: 5.3s)

sample45.0ms

Algorithm
intervals
Results
13.0ms38×body1280valid
10.0ms169×body80valid
7.0ms36×body640valid
3.0ms20×body320valid
1.0ms9×body160valid

simplify10.0ms

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: 2.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
2.9b
(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

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)

series150.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
70.0ms
(/ (* x (/ (sin y) y)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0333511
11655443
25001443

prune198.0ms

Pruning

7 alts after pruning (7 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)
1.6b
(/ x (/ z (/ (sin y) y)))

rewrite41.0ms

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)
12.0ms
(/ x (/ z (/ (sin y) y)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ z (/ (sin y) y))
26.0ms
(/ (sin y) y)
80.0ms
(/ x (/ z (/ (sin y) y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011172974
150012852

prune780.0ms

Pruning

5 alts after pruning (5 fresh and 0 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)
4.1b
(/ (/ x z) (/ 1 (/ (sin y) y)))

rewrite108.0ms

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:
5.0ms
(/ 1 (/ (sin y) y))
3.0ms
(/ (sin y) y)
24.0ms
(/ (/ x z) (/ 1 (/ (sin y) y)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ 1 (/ (sin y) y))
24.0ms
(/ (sin y) y)
77.0ms
(/ (/ x z) (/ 1 (/ (sin y) y)))

simplify146.0ms

Algorithm
egg-herbie
Counts
779 → 779
Iterations

Useful iterations: 1 (59.0ms)

IterNodesCost
0382510806
1500110105

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (sin y))
2.9b
(/ (* (* x (sin y)) (/ 1 y)) z)
5.7b
(* (* x (sin y)) (/ 1 y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
35×add-cbrt-cube
25×prod-exp
17×div-exp
16×add-sqr-sqrt associate-*r*
14×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
12×times-frac
10×pow1
9×cbrt-undiv
4×rec-exp 1-exp associate-*l* pow-prod-down
3×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
2×associate-*r/ un-div-inv *-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/l* unswap-sqr
Counts
3 → 95
Calls
3 calls:
4.0ms
(* x (sin y))
11.0ms
(/ (* (* x (sin y)) (/ 1 y)) z)
12.0ms
(* (* x (sin y)) (/ 1 y))

series162.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* x (sin y))
69.0ms
(/ (* (* x (sin y)) (/ 1 y)) z)
56.0ms
(* (* x (sin y)) (/ 1 y))

simplify65.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0446593
12592458
25001438

prune162.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

71.5% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.4b

bsearch98.0ms

Steps
ItersRangePoint
9
5.387858720065333e-175
1.363700013553169e-169
1.3404588813261756e-169
8
-7.587822419691579e+51
-2.693845947709892e+48
-2.8568993598992816e+48

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

sample1.2s

Algorithm
intervals
Results
367.0ms5794×body80valid
327.0ms1050×body1280valid
221.0ms1012×body640valid
83.0ms536×body320valid
34.0ms301×body160valid