Details

Time bar (total: 4.2s)

sample36.0ms

Algorithm
intervals
Results
9.0ms31×body1280valid
8.0ms194×body80valid
7.0ms34×body640valid
2.0ms16×body320valid
1.0ms9×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

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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:
8.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
7.0ms
(/ (* x (/ (sin y) y)) z)

series147.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
69.0ms
(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0333511
11655443
25001443

prune210.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.2b
(/ 1 (/ y (sin y)))
2.3b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite50.0ms

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:
16.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
13.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series171.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* x (/ 1 (/ y (sin y))))
21.0ms
(/ y (sin y))
25.0ms
(/ 1 (/ y (sin y)))
73.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify82.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07201479
137141260
250021123

prune399.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
156×add-exp-log
111×add-sqr-sqrt
99×*-un-lft-identity
97×add-cube-cbrt
67×prod-exp
59×div-exp
57×associate-*r*
52×add-cbrt-cube
20×rec-exp 1-exp
17×cbrt-undiv cbrt-unprod
16×associate-/r*
12×pow1
11×div-inv
6×associate-/l*
5×unswap-sqr
4×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down un-div-inv log1p-expm1-u add-log-exp
2×frac-times frac-2neg associate-*l/ clear-num associate-/r/ *-commutative
1×pow-flip inv-pow
Counts
4 → 254
Calls
4 calls:
16.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
15.0ms
(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

series187.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* x (/ 1 (/ y (sin y))))
34.0ms
(/ y (sin y))
33.0ms
(/ 1 (/ y (sin y)))
67.0ms
(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

simplify106.0ms

Algorithm
egg-herbie
Counts
266 → 266
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09511800
147341472
250011471

prune511.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:
3.0ms
(/ y (sin y))
14.0ms
(/ (/ x z) (/ y (sin y)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ y (sin y))
78.0ms
(/ (/ x z) (/ y (sin y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
013162723
150012633

prune662.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes108.0ms

Accuracy

91.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.0b

bsearch91.0ms

Steps
ItersRangePoint
9
1.3582102308002293e-100
4.967816508156504e-93
4.873782181038199e-93
8
-7509027891406199.0
-133078281566.82077
-87678001982141.3

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1198

end0.0ms

sample1.1s

Algorithm
intervals
Results
300.0ms1032×body1280valid
254.0ms5771×body80valid
196.0ms1040×body640valid
74.0ms558×body320valid
30.0ms280×body160valid