Details

Time bar (total: 4.1s)

sample34.0ms

Algorithm
intervals
Results
10.0ms37×body1280valid
7.0ms180×body80valid
5.0ms27×body640valid
2.0ms20×body320valid
1.0ms13×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: 2.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.2b
(/ (* 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)

series155.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* x (/ (sin y) y))
30.0ms
(/ (sin y) y)
73.0ms
(/ (* x (/ (sin y) y)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0333511
11655443
25001443

prune222.0ms

Filtered
98 candidates to 72 candidates (73.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
0.5b
(/ 1 (/ z (* x (/ (sin y) y))))
2.0b
(/ z (* x (/ (sin y) y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
54×add-exp-log
44×add-sqr-sqrt
39×add-cube-cbrt *-un-lft-identity
34×add-cbrt-cube
26×div-exp
14×cbrt-undiv
13×associate-*r*
12×associate-/r*
10×prod-exp
9×associate-/l*
8×div-inv
7×pow1
6×associate-*r/ associate-/r/ cbrt-unprod
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num
2×unswap-sqr
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 155
Calls
4 calls:
7.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
9.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
8.0ms
(/ z (* x (/ (sin y) y)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
72.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
101.0ms
(/ z (* x (/ (sin y) y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05181041
12809893
25001852

prune327.0ms

Filtered
167 candidates to 103 candidates (61.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
3.3b
(/ 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)
12.0ms
(/ x (/ z (/ (sin y) y)))

series184.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ z (/ (sin y) y))
32.0ms
(/ (sin y) y)
86.0ms
(/ x (/ z (/ (sin y) y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011172974
150012852

prune838.0ms

Filtered
308 candidates to 264 candidates (85.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity
22×prod-exp
16×associate-*l*
14×associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ pow-prod-down
3×expm1-log1p-u rec-exp 1-exp associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num
Counts
3 → 110
Calls
3 calls:
8.0ms
(* x (/ (sin y) y))
6.0ms
(/ (sin y) y)
15.0ms
(* (/ 1 z) (* x (/ (sin y) y)))

series152.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* x (/ (sin y) y))
32.0ms
(/ (sin y) y)
68.0ms
(* (/ 1 z) (* x (/ (sin y) y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0439675
12301558
25001539

prune237.0ms

Filtered
119 candidates to 79 candidates (66.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes157.0ms

Accuracy

84.5% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.7b

bsearch50.0ms

Steps
ItersRangePoint
7
1.0523857078141318e+85
3.4079781488170856e+86
1.067612056439689e+85
3
-1.8928377695467786e+61
-1.5442358469082974e+61
-1.740324428392443e+61

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample1.0s

Algorithm
intervals
Results
281.0ms1040×body1280valid
241.0ms5888×body80valid
192.0ms1004×body640valid
73.0ms550×body320valid
27.0ms302×body160valid