Details

Time bar (total: 18.8s)

sample288.0ms

Algorithm
intervals
Results
81.0ms135×body80valid
48.0ms38×body1280valid
33.0ms44×body640valid
18.0ms30×body320valid
11.0ms256×pre80true
4.0ms9×body160valid

simplify49.0ms

Counts
1 → 1
Iterations
IterNodes
done26
526
425
323
220
116
09

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sin v) (fma (cos v) e 1))
0.1b
(* (/ (sin v) (fma (cos v) e 1)) e)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×*-un-lft-identity add-cube-cbrt
13×associate-*l*
9×add-cbrt-cube add-exp-log
4×pow1
3×associate-/r* associate-*r* associate-/l*
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
Counts
2 → 65
Calls
2 calls:
8.0ms
(/ (sin v) (fma (cos v) e 1))
15.0ms
(* (/ (sin v) (fma (cos v) e 1)) e)

series220.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(/ (sin v) (fma (cos v) e 1))
124.0ms
(* (/ (sin v) (fma (cos v) e 1)) e)

simplify1.2s

Counts
71 → 71
Iterations
IterNodes
done2003
32003
2879
1300
0125

prune892.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sin v) (fma (cos v) e 1))
0.2b
(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
0.3b
(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
20×times-frac
19×add-cbrt-cube add-exp-log
14×associate-*l*
12×associate-*r*
10×pow1
8×sqrt-prod
7×prod-exp cbrt-unprod
4×pow-prod-down unswap-sqr
3×expm1-log1p-u cbrt-undiv associate-/r* div-exp associate-*l/ insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×*-commutative div-inv
1×clear-num frac-2neg
Counts
3 → 97
Calls
3 calls:
16.0ms
(/ (sin v) (fma (cos v) e 1))
16.0ms
(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
45.0ms
(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

series355.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(/ (sin v) (fma (cos v) e 1))
174.0ms
(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
107.0ms
(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

simplify1.6s

Counts
106 → 106
Iterations
IterNodes
done2004
32004
21969
1511
0187

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sin v) (fma (cos v) e 1))
0.1b
(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
0.2b
(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
0.4b
(log1p (/ (sin v) (fma (cos v) e 1)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-exp-log
6×pow1
5×expm1-log1p-u
4×insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-*r* associate-*l* associate-/l*
1×cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg div-exp pow-prod-down prod-exp log1p-expm1 *-commutative cbrt-unprod div-inv expm1-udef unswap-sqr
Counts
4 → 75
Calls
4 calls:
12.0ms
(/ (sin v) (fma (cos v) e 1))
12.0ms
(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
0.0ms
(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
1.0ms
(log1p (/ (sin v) (fma (cos v) e 1)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ (sin v) (fma (cos v) e 1))
133.0ms
(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
126.0ms
(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
94.0ms
(log1p (/ (sin v) (fma (cos v) e 1)))

simplify1.1s

Counts
87 → 87
Iterations
IterNodes
done2003
32003
21119
1331
0151

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt e))
0.2b
(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
0.3b
(* (* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt (sqrt e))) (sqrt (sqrt e)))
0.3b
(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt (sqrt e)))

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt sqrt-prod
32×add-cbrt-cube add-exp-log
24×associate-*r*
22×pow1
21×*-un-lft-identity add-cube-cbrt
16×prod-exp cbrt-unprod
15×associate-*l*
11×times-frac
10×pow-prod-down
6×associate-*l/
4×expm1-log1p-u sqrt-pow1 insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv div-exp *-commutative
2×rem-sqrt-square pow1/2
1×div-inv
Counts
4 → 125
Calls
4 calls:
2.0ms
(sqrt (sqrt e))
23.0ms
(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
181.0ms
(* (* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt (sqrt e))) (sqrt (sqrt e)))
73.0ms
(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt (sqrt e)))

series758.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(sqrt (sqrt e))
184.0ms
(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
151.0ms
(* (* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt (sqrt e))) (sqrt (sqrt e)))
189.0ms
(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt (sqrt e)))

simplify1.2s

Counts
137 → 137
Iterations
IterNodes
done2003
22003
1829
0287

prune1.7s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.4s1518×body1280valid
1.5s1269×body640valid
767.0ms4279×body80valid
413.0ms638×body320valid
389.0ms8000×pre80true
233.0ms296×body160valid