Details

Time bar (total: 3.8s)

sample34.0ms

Algorithm
intervals
Results
8.0ms195×body80valid
7.0ms26×body1280valid
6.0ms35×body640valid
3.0ms23×body320valid
1.0ms10×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize13.0ms

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)

rewrite22.0ms

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:
8.0ms
(* x (/ (sin y) y))
7.0ms
(/ (sin y) y)
5.0ms
(/ (* x (/ (sin y) y)) z)

series146.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* x (/ (sin y) y))
28.0ms
(/ (sin y) y)
65.0ms
(/ (* x (/ (sin y) y)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25001420

prune195.0ms

Filtered
92 candidates to 66 candidates (71.7%)
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
(/ (sin y) y)
0.1b
(/ (/ (sin y) y) z)
2.5b
(* x (/ (/ (sin y) y) z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
43×associate-*r*
19×add-exp-log add-cbrt-cube
16×associate-/l*
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 162
Calls
3 calls:
3.0ms
(/ (sin y) y)
6.0ms
(/ (/ (sin y) y) z)
22.0ms
(* x (/ (/ (sin y) y) z))

series124.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (sin y) y)
32.0ms
(/ (/ (sin y) y) z)
68.0ms
(* x (/ (/ (sin y) y) z))

simplify67.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06051176
128621100
250011100

prune389.0ms

Filtered
171 candidates to 138 candidates (80.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
2.5b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite44.0ms

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 associate-*r*
22×prod-exp
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ associate-*l* 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 un-div-inv
Counts
3 → 105
Calls
3 calls:
3.0ms
(/ (sin y) y)
8.0ms
(* x (/ (sin y) y))
29.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series144.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (sin y) y)
53.0ms
(* x (/ (sin y) y))
67.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify66.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0480667
12656552
25001539

prune234.0ms

Filtered
114 candidates to 72 candidates (63.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(/ z (/ (sin y) y))
2.6b
(/ 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 frac-2neg clear-num add-log-exp
Counts
3 → 293
Calls
3 calls:
3.0ms
(/ (sin y) y)
5.0ms
(/ z (/ (sin y) y))
15.0ms
(/ x (/ z (/ (sin y) y)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (sin y) y)
83.0ms
(/ z (/ (sin y) y))
80.0ms
(/ x (/ z (/ (sin y) y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011102950
150012830

prune742.0ms

Filtered
302 candidates to 259 candidates (85.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes97.0ms

Accuracy

72.6% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.0b

bsearch74.0ms

Steps
ItersRangePoint
7
2.686084496593018e+36
6.061859561393294e+37
5.695097008407134e+37
5
-1.3656651874097087e+58
-3.7261573741706954e+57
-4.5650005924154194e+57

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02413
12413

end0.0ms

sample1.0s

Algorithm
intervals
Results
280.0ms1009×body1280valid
245.0ms5852×body80valid
183.0ms1015×body640valid
72.0ms571×body320valid
28.0ms274×body160valid