Details

Time bar (total: 4.1s)

sample40.0ms

Algorithm
intervals
Results
12.0ms180×body80valid
10.0ms37×body1280valid
5.0ms27×body640valid
2.0ms20×body320valid
1.0ms13×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
7.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
5.0ms
(/ (* x (/ (sin y) y)) z)

series151.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* x (/ (sin y) y))
24.0ms
(/ (sin y) y)
71.0ms
(/ (* x (/ (sin y) y)) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25001420

prune205.0ms

Filtered
92 candidates to 66 candidates (71.7%)
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)))

rewrite30.0ms

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×rec-exp 1-exp add-log-exp
3×frac-2neg associate-*l* clear-num
2×unswap-sqr
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 147
Calls
4 calls:
8.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
10.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
5.0ms
(/ z (* x (/ (sin y) y)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
71.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
100.0ms
(/ z (* x (/ (sin y) y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05081006
12791859
25002818

prune291.0ms

Filtered
159 candidates to 95 candidates (59.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

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)))

rewrite45.0ms

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 frac-2neg clear-num add-log-exp
Counts
3 → 293
Calls
3 calls:
5.0ms
(/ z (/ (sin y) y))
3.0ms
(/ (sin y) y)
18.0ms
(/ x (/ z (/ (sin y) y)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ z (/ (sin y) y))
25.0ms
(/ (sin y) y)
86.0ms
(/ x (/ z (/ (sin y) y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011102950
150012830

prune807.0ms

Filtered
302 candidates to 258 candidates (85.4%)
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)))

rewrite31.0ms

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×rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num
Counts
3 → 104
Calls
3 calls:
7.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
17.0ms
(* (/ 1 z) (* x (/ (sin y) y)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)
74.0ms
(* (/ 1 z) (* x (/ (sin y) y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0432649
12287533
25002514

prune384.0ms

Filtered
113 candidates to 73 candidates (64.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes139.0ms

Accuracy

84.5% (0.4b remaining)

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

bsearch47.0ms

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
292.0ms1040×body1280valid
251.0ms5888×body80valid
190.0ms1004×body640valid
71.0ms550×body320valid
28.0ms302×body160valid