Details

Time bar (total: 7.3s)

sample38.0ms

Algorithm
intervals
Results
10.0ms39×body1280valid
10.0ms183×body80valid
5.0ms28×body640valid
2.0ms16×body320valid
1.0ms10×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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:
6.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
7.0ms
(/ (* x (/ (sin y) y)) z)

series150.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
68.0ms
(/ (* x (/ (sin y) y)) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0326487
11643420
25001420

prune187.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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:
6.0ms
(/ z (/ (sin y) y))
4.0ms
(/ (sin y) y)
15.0ms
(/ x (/ z (/ (sin y) y)))

series174.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ z (/ (sin y) y))
24.0ms
(/ (sin y) y)
81.0ms
(/ x (/ z (/ (sin y) y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011102950
150012830

prune785.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
2211×times-frac
977×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
197×associate-/r*
76×div-inv
64×add-exp-log
44×div-exp
34×add-cbrt-cube
23×associate-/r/
20×cbrt-undiv
12×associate-/l*
6×rec-exp 1-exp
5×pow1
4×frac-2neg clear-num add-log-exp
1×pow-flip inv-pow
Counts
4 → 877
Calls
4 calls:
12.0ms
(/ z (/ 1 (/ y (sin y))))
6.0ms
(/ 1 (/ y (sin y)))
4.0ms
(/ y (sin y))
30.0ms
(/ x (/ z (/ 1 (/ y (sin y)))))

series196.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ z (/ 1 (/ y (sin y))))
25.0ms
(/ 1 (/ y (sin y)))
22.0ms
(/ y (sin y))
82.0ms
(/ x (/ z (/ 1 (/ y (sin y)))))

simplify153.0ms

Algorithm
egg-herbie
Counts
889 → 889
Iterations

Useful iterations: 1 (58.0ms)

IterNodesCost
0317911320
1500110541

prune2.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.2b
(/ 1 (/ (sin y) y))
2.7b
(/ (/ x z) (/ 1 (/ (sin y) y)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
1985×times-frac
858×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
108×div-inv
61×add-exp-log
60×associate-/r*
43×div-exp
31×add-cbrt-cube
19×cbrt-undiv associate-/l*
16×associate-/r/
6×rec-exp 1-exp
4×pow1
3×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 764
Calls
3 calls:
4.0ms
(/ (sin y) y)
6.0ms
(/ 1 (/ (sin y) y))
23.0ms
(/ (/ x z) (/ 1 (/ (sin y) y)))

series137.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
27.0ms
(/ 1 (/ (sin y) y))
85.0ms
(/ (/ x z) (/ 1 (/ (sin y) y)))

simplify154.0ms

Algorithm
egg-herbie
Counts
773 → 773
Iterations

Useful iterations: 1 (62.0ms)

IterNodesCost
0381610782
1500110089

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes132.0ms

Accuracy

10.3% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02617
12617

end0.0ms

sample1.0s

Algorithm
intervals
Results
280.0ms1039×body1280valid
254.0ms5858×body80valid
190.0ms999×body640valid
68.0ms535×body320valid
26.0ms290×body160valid