Details

Time bar (total: 4.0s)

sample302.0ms

Algorithm
intervals
Results
22.0ms53×body1280valid
10.0ms39×body640valid
7.0ms129×body80valid
5.0ms24×body320valid
4.0ms256×pre80true
1.0ms11×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0146
1205
2235
3245
4245

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×add-exp-log add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×pow1
6×associate-*r* associate-*l*
3×expm1-log1p-u times-frac prod-exp associate-/r* cbrt-unprod log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp pow-prod-down associate-/r/ *-commutative unswap-sqr
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
3 → 65
Calls
3 calls:
6.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
3.0ms
(* e (sin v))
6.0ms
(* e (cos v))

series182.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms
(* e (sin v))
56.0ms
(* e (cos v))

simplify43.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0303422
11415368
25001362

prune197.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
0.0b
(/ 1 (+ 1.0 (* e (cos v))))
0.1b
(* e (sin v))
0.1b
(* e (cos v))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
27×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
22×add-cbrt-cube
21×associate-*r*
18×times-frac
14×pow1 prod-exp
8×cbrt-unprod
7×associate-*l*
6×div-exp
5×pow-prod-down
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp 1-exp associate-/r* *-commutative associate-/l*
2×flip3-+ flip-+ div-inv unswap-sqr
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 117
Calls
4 calls:
15.0ms
(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
4.0ms
(/ 1 (+ 1.0 (* e (cos v))))
3.0ms
(* e (sin v))
3.0ms
(* e (cos v))

series193.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
33.0ms
(/ 1 (+ 1.0 (* e (cos v))))
37.0ms
(* e (sin v))
38.0ms
(* e (cos v))

simplify71.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0485869
12552717
25001680

prune296.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fma (cos v) e 1.0) e)
0.2b
(/ (sin v) (/ (fma (cos v) e 1.0) e))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 101
Calls
2 calls:
2.0ms
(/ (fma (cos v) e 1.0) e)
6.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

series140.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (fma (cos v) e 1.0) e)
82.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify56.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04361039
11847982
25001979

prune324.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1.0 (/ 1 e) (cos v))
0.2b
(/ (sin v) (fma 1.0 (/ 1 e) (cos v)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma 1.0 (/ 1 e) (cos v))
3.0ms
(/ (sin v) (fma 1.0 (/ 1 e) (cos v)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(fma 1.0 (/ 1 e) (cos v))
56.0ms
(/ (sin v) (fma 1.0 (/ 1 e) (cos v)))

simplify99.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0176371
1597339
23039337
35002336

prune125.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample1.7s

Algorithm
intervals
Results
674.0ms1577×body1280valid
321.0ms1199×body640valid
244.0ms4302×body80valid
112.0ms8000×pre80true
107.0ms600×body320valid
43.0ms322×body160valid