Details

Time bar (total: 3.9s)

sample37.0ms

Algorithm
intervals
Results
9.0ms35×body1280valid
8.0ms183×body80valid
6.0ms36×body640valid
1.0ms12×body320valid
1.0ms8×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
2.8b
(/ (* x (/ (sin y) y)) z)

rewrite42.0ms

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:
17.0ms
(* x (/ (sin y) y))
8.0ms
(/ (sin y) y)
14.0ms
(/ (* x (/ (sin y) y)) z)

series135.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)
62.0ms
(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25001420

prune179.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.2b
(/ (sin y) y)
3.1b
(* x (/ (/ (sin y) y) z))

rewrite62.0ms

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:
17.0ms
(/ (/ (sin y) y) z)
8.0ms
(/ (sin y) y)
29.0ms
(* x (/ (/ (sin y) y) z))

series117.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (/ (sin y) y) z)
22.0ms
(/ (sin y) y)
64.0ms
(* x (/ (/ (sin y) y) z))

simplify71.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06051176
128621100
250011100

prune389.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
2.9b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite63.0ms

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:
17.0ms
(* x (/ (sin y) y))
8.0ms
(/ (sin y) y)
34.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series132.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)
59.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify67.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0480667
12656552
25001539

prune208.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.2b
(/ (sin y) y)
3.2b
(/ x (/ z (/ (sin y) y)))

rewrite52.0ms

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:
9.0ms
(/ z (/ (sin y) y))
8.0ms
(/ (sin y) y)
17.0ms
(/ x (/ z (/ (sin y) y)))

series152.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ z (/ (sin y) y))
25.0ms
(/ (sin y) y)
72.0ms
(/ x (/ z (/ (sin y) y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011102950
150012830

prune736.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes190.0ms

Accuracy

80.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.4b

bsearch67.0ms

Steps
ItersRangePoint
6
9.196342941240715e-50
4.920952550393879e-49
3.1288782285340333e-49
9
-2.61330965730952e+87
-2.2536194562167577e+79
-1.055205221512996e+82

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513
12513

end0.0ms

sample1.1s

Algorithm
intervals
Results
258.0ms962×body1280valid
235.0ms5844×body80valid
191.0ms1040×body640valid
68.0ms565×body320valid
27.0ms308×body160valid