Details

Time bar (total: 7.0s)

sample304.0ms

Algorithm
intervals
Results
18.0ms40×body1280valid
13.0ms49×body640valid
8.0ms140×body80valid
4.0ms256×pre80true
3.0ms18×body320valid
1.0ms9×body160valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0911
11411
22010
32310
42410
done2410

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* e (sin v)) (fma (cos v) e 1.0))
0.1b
(* e (sin v))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 43
Calls
2 calls:
4.0ms
(/ (* e (sin v)) (fma (cos v) e 1.0))
6.0ms
(* e (sin v))

series139.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(/ (* e (sin v)) (fma (cos v) e 1.0))
46.0ms
(* e (sin v))

simplify384.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
093565
1227549
21003469
done5000469

prune126.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sin v) (fma (cos v) e 1.0))
0.1b
(* e (/ (sin v) (fma (cos v) e 1.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
3.0ms
(/ (sin v) (fma (cos v) e 1.0))
8.0ms
(* e (/ (sin v) (fma (cos v) e 1.0)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (sin v) (fma (cos v) e 1.0))
87.0ms
(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify508.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
01301053
13141020
21360920
done5000920

prune189.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sin v) (fma (cos v) e 1.0))
0.3b
(* (sqrt e) (/ (sin v) (fma (cos v) e 1.0)))
0.3b
(* (sqrt e) (* (sqrt e) (/ (sin v) (fma (cos v) e 1.0))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
20×times-frac
19×add-exp-log add-cbrt-cube
14×associate-*r*
12×associate-*l*
10×pow1
8×sqrt-prod
7×prod-exp cbrt-unprod
4×pow-prod-down unswap-sqr
3×cbrt-undiv expm1-log1p-u associate-*r/ div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×*-commutative div-inv
1×frac-2neg clear-num
Counts
3 → 94
Calls
3 calls:
6.0ms
(/ (sin v) (fma (cos v) e 1.0))
10.0ms
(* (sqrt e) (/ (sin v) (fma (cos v) e 1.0)))
15.0ms
(* (sqrt e) (* (sqrt e) (/ (sin v) (fma (cos v) e 1.0))))

series284.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (sin v) (fma (cos v) e 1.0))
133.0ms
(* (sqrt e) (/ (sin v) (fma (cos v) e 1.0)))
99.0ms
(* (sqrt e) (* (sqrt e) (/ (sin v) (fma (cos v) e 1.0))))

simplify699.0ms

Counts
103 → 103
Iterations

Useful iterations: done (696.0ms)

IterNodesCost
01861912
14921740
221221544
done50001537

prune284.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt e))
0.3b
(* (sqrt (sqrt e)) (/ (sin v) (fma (cos v) e 1.0)))
0.3b
(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (/ (sin v) (fma (cos v) e 1.0)))))
0.3b
(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (/ (sin v) (fma (cos v) e 1.0))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×sqrt-prod
32×add-exp-log add-cbrt-cube
24×associate-*l*
22×pow1
21×add-cube-cbrt *-un-lft-identity
16×prod-exp cbrt-unprod
15×associate-*r*
12×times-frac
10×pow-prod-down
6×associate-*r/ unswap-sqr
4×expm1-log1p-u sqrt-pow1 log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp *-commutative
2×rem-sqrt-square pow1/2
1×div-inv
Counts
4 → 123
Calls
4 calls:
1.0ms
(sqrt (sqrt e))
13.0ms
(* (sqrt (sqrt e)) (/ (sin v) (fma (cos v) e 1.0)))
58.0ms
(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (/ (sin v) (fma (cos v) e 1.0)))))
22.0ms
(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (/ (sin v) (fma (cos v) e 1.0))))

series524.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(sqrt (sqrt e))
151.0ms
(* (sqrt (sqrt e)) (/ (sin v) (fma (cos v) e 1.0)))
98.0ms
(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (/ (sin v) (fma (cos v) e 1.0)))))
137.0ms
(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (/ (sin v) (fma (cos v) e 1.0))))

simplify1.1s

Counts
135 → 135
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02912781
18142348
234501926
done50001919

prune354.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01012
11310
done1310

end0.0ms

sample1.7s

Algorithm
intervals
Results
664.0ms1531×body1280valid
336.0ms1254×body640valid
237.0ms4289×body80valid
115.0ms8000×pre80true
114.0ms628×body320valid
38.0ms298×body160valid