Details

Time bar (total: 3.7s)

sample36.0ms

Algorithm
intervals
Results
9.0ms32×body1280valid
8.0ms189×body80valid
6.0ms32×body640valid
2.0ms18×body320valid
1.0ms7×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)

rewrite25.0ms

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))
10.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series150.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* x (/ (sin y) y))
32.0ms
(/ (sin y) y)
67.0ms
(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0333511
11655443
25001443

prune396.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

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:
6.0ms
(/ 1 (/ y (sin y)))
3.0ms
(/ y (sin y))
15.0ms
(* x (/ 1 (/ y (sin y))))
10.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series169.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ 1 (/ y (sin y)))
21.0ms
(/ y (sin y))
53.0ms
(* x (/ 1 (/ y (sin y))))
69.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify82.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07201479
137141260
250021123

prune433.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
33×add-exp-log
24×add-cbrt-cube
19×associate-/r*
17×div-exp
11×cbrt-undiv
7×div-inv associate-/l*
6×prod-exp
3×pow1 expm1-log1p-u frac-2neg 1-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-*r/ associate-/r/ associate-/l/
Counts
3 → 132
Calls
3 calls:
6.0ms
(/ x (/ y (sin y)))
4.0ms
(/ y (sin y))
11.0ms
(/ (* 1 (/ x (/ y (sin y)))) z)

series149.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ x (/ y (sin y)))
22.0ms
(/ y (sin y))
73.0ms
(/ (* 1 (/ x (/ y (sin y)))) z)

simplify73.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0559957
12793874
25002866

prune329.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.2b
(* (sin y) (/ 1 y))
2.4b
(/ (* x (* (sin y) (/ 1 y))) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
22×prod-exp
21×add-sqr-sqrt
15×*-un-lft-identity
14×add-cube-cbrt times-frac associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv associate-*r/
6×associate-*l*
4×pow-prod-down
3×expm1-log1p-u rec-exp 1-exp associate-/r* un-div-inv log1p-expm1-u add-log-exp unswap-sqr
2×*-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/l*
Counts
3 → 95
Calls
3 calls:
7.0ms
(* x (* (sin y) (/ 1 y)))
7.0ms
(* (sin y) (/ 1 y))
9.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

series152.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* x (* (sin y) (/ 1 y)))
26.0ms
(* (sin y) (/ 1 y))
70.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

simplify61.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0422595
12107461
25002439

prune187.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes140.0ms

Accuracy

75.1% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.1b

bsearch86.0ms

Steps
ItersRangePoint
9
1.3027116849753245e+187
3.79751347336439e+193
1.3210197404489036e+187
9
-1.2173202102716907e-27
-2.6695725170852393e-33
-1.1728892342568057e-27

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03116
13716
23716

end0.0ms

sample1.1s

Algorithm
intervals
Results
312.0ms1042×body1280valid
245.0ms5710×body80valid
197.0ms1071×body640valid
72.0ms549×body320valid
30.0ms318×body160valid