Details

Time bar (total: 5.9s)

sample50.0ms

Algorithm
intervals
Results
11.0ms29×body1280valid
10.0ms181×body80valid
7.0ms29×body640valid
4.0ms18×body320valid
1.0ms10×body160valid

simplify9.0ms

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: 1.5b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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:
13.0ms
(* x (/ (sin y) y))
8.0ms
(/ (sin y) y)
13.0ms
(/ (* x (/ (sin y) y)) z)

series157.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
73.0ms
(/ (* x (/ (sin y) y)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25001420

prune189.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.5b
(/ (pow (* x (/ (sin y) y)) 1) z)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt times-frac
29×add-cube-cbrt *-un-lft-identity
22×add-exp-log
13×associate-*r*
12×add-cbrt-cube
8×div-exp associate-/l*
6×associate-/r*
5×pow1
4×unpow-prod-down prod-exp sqr-pow
3×cbrt-undiv associate-*l* pow-exp div-inv add-log-exp
2×frac-2neg clear-num cbrt-unprod unswap-sqr
1×pow-to-exp associate-*r/ pow-prod-down *-commutative
Counts
3 → 98
Calls
3 calls:
14.0ms
(* x (/ (sin y) y))
8.0ms
(/ (sin y) y)
9.0ms
(/ (pow (* x (/ (sin y) y)) 1) z)

series154.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* x (/ (sin y) y))
24.0ms
(/ (sin y) y)
72.0ms
(/ (pow (* x (/ (sin y) y)) 1) z)

simplify53.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0349655
11785595
25001592

prune235.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.6b
(/ 1 (/ (/ z x) (/ (sin y) y)))
0.9b
(/ (/ z x) (/ (sin y) y))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
2564×times-frac
1114×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
190×associate-/r*
139×div-inv
61×add-exp-log
43×div-exp
35×add-cbrt-cube
22×cbrt-undiv
19×associate-/l*
6×associate-/r/
5×rec-exp 1-exp
4×pow1
3×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 974
Calls
3 calls:
8.0ms
(/ (sin y) y)
48.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
16.0ms
(/ (/ z x) (/ (sin y) y))

series210.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
77.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
107.0ms
(/ (/ z x) (/ (sin y) y))

simplify182.0ms

Algorithm
egg-herbie
Counts
983 → 983
Iterations

Useful iterations: 1 (62.0ms)

IterNodesCost
0367913389
1500212903

prune2.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sin y) y)
1.1b
(/ (/ (sin y) y) (/ z x))

rewrite43.0ms

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 frac-2neg clear-num add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 242
Calls
2 calls:
8.0ms
(/ (sin y) y)
19.0ms
(/ (/ (sin y) y) (/ z x))

series117.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (sin y) y)
85.0ms
(/ (/ (sin y) y) (/ z x))

simplify51.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013112707
150022617

prune667.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (2.9b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1144
2144

end0.0ms

sample1.0s

Algorithm
intervals
Results
264.0ms996×body1280valid
243.0ms5821×body80valid
177.0ms1009×body640valid
72.0ms547×body320valid
25.0ms290×body160valid