Details

Time bar (total: 18.9s)

sample44.0ms

Algorithm
intervals
Results
11.0ms194×body80valid
9.0ms26×body1280valid
6.0ms23×body640valid
3.0ms15×body320valid
2.0ms13×body160valid

simplify58.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1128
2248
3488
4718
5798
done798

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.3b
(/ (* x (/ (sin y) y)) z)

rewrite426.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 89
Calls
3 calls:
397.0ms
(* x (/ (sin y) y))
10.0ms
(/ (sin y) y)
16.0ms
(/ (* x (/ (sin y) y)) z)

series215.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* x (/ (sin y) y))
34.0ms
(/ (sin y) y)
119.0ms
(/ (* x (/ (sin y) y)) z)

simplify3.6s

Counts
98 → 98
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
0145935
1323898
21027782
34743779
done5002779

prune391.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.2b
(* (sin y) (/ 1 y))
1.3b
(/ (* x (* (sin y) (/ 1 y))) z)

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
22×prod-exp
21×add-sqr-sqrt
15×*-un-lft-identity
14×add-cube-cbrt times-frac associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv associate-*r/
6×associate-*l*
4×pow-prod-down
3×expm1-log1p-u rec-exp 1-exp associate-/r* un-div-inv log1p-expm1-u add-log-exp unswap-sqr
2×*-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/l*
Counts
3 → 95
Calls
3 calls:
42.0ms
(* x (* (sin y) (/ 1 y)))
21.0ms
(* (sin y) (/ 1 y))
63.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

series213.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(* x (* (sin y) (/ 1 y)))
37.0ms
(* (sin y) (/ 1 y))
114.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

simplify1.5s

Counts
104 → 104
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01641168
1391922
21357734
done5001731

prune281.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.5b
(/ 1 (/ (/ z x) (/ (sin y) y)))
0.6b
(/ (/ z x) (/ (sin y) y))

rewrite285.0ms

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×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 980
Calls
3 calls:
13.0ms
(/ (sin y) y)
97.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
28.0ms
(/ (/ z x) (/ (sin y) y))

series283.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (sin y) y)
84.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
170.0ms
(/ (/ z x) (/ (sin y) y))

simplify4.0s

Counts
989 → 989
Iterations

Useful iterations: done (3.9s)

IterNodesCost
0145523170
1348320135
done500019113

prune2.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
1.4b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite104.0ms

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×expm1-log1p-u rec-exp 1-exp associate-/r* log1p-expm1-u 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 → 111
Calls
3 calls:
10.0ms
(/ (sin y) y)
28.0ms
(* x (/ (sin y) y))
60.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series196.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (sin y) y)
74.0ms
(* x (/ (sin y) y))
78.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify2.0s

Counts
120 → 120
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01851320
14381156
21381966
done5000963

prune292.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 3.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11110
done1110

end0.0ms

sample2.5s

Algorithm
intervals
Results
594.0ms5835×body80valid
554.0ms972×body1280valid
435.0ms577×body320valid
377.0ms1063×body640valid
79.0ms287×body160valid