Details

Time bar (total: 6.3s)

sample306.0ms

Algorithm
intervals
Results
22.0ms54×body1280valid
9.0ms35×body640valid
8.0ms128×body80valid
5.0ms27×body320valid
4.0ms256×pre80true
2.0ms12×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0146
1205
2235
3245
4245

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
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 (cos v))
0.2b
(* e (sin 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 (cos v))
6.0ms
(* e (sin v))

series194.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms
(* e (cos v))
64.0ms
(* e (sin v))

simplify44.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0303422
11415368
25001362

prune180.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×associate-/r/ fma-udef
Counts
3 → 111
Calls
3 calls:
0.0ms
(fma (cos v) e 1.0)
2.0ms
(/ (fma (cos v) e 1.0) e)
6.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

series190.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(fma (cos v) e 1.0)
63.0ms
(/ (fma (cos v) e 1.0) e)
85.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify55.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04541086
119621024
250011021

prune343.0ms

Filtered
120 candidates to 100 candidates (83.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(* e (cos v))
0.2b
(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
57×add-sqr-sqrt
55×add-cube-cbrt *-un-lft-identity
16×associate-/r*
12×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv div-exp
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/l/
1×flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 123
Calls
3 calls:
3.0ms
(* e (cos v))
8.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
10.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series198.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(* e (cos v))
67.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
90.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify67.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05301326
123771222
250011212

prune367.0ms

Filtered
132 candidates to 110 candidates (83.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.2b
(/ (sqrt (+ 1.0 (* e (cos v)))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
0.2b
(/ e (/ (sqrt (+ 1.0 (* e (cos v)))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
1725×times-frac
811×add-sqr-sqrt
807×add-cube-cbrt *-un-lft-identity
642×sqrt-prod
173×associate-/r*
68×associate-/r/
64×sqrt-div
37×div-inv
32×flip3-+ flip-+
22×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp associate-/l*
8×pow1
6×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 851
Calls
4 calls:
3.0ms
(* e (cos v))
3.0ms
(* e (cos v))
18.0ms
(/ (sqrt (+ 1.0 (* e (cos v)))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
37.0ms
(/ e (/ (sqrt (+ 1.0 (* e (cos v)))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))))

series242.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* e (cos v))
36.0ms
(* e (cos v))
72.0ms
(/ (sqrt (+ 1.0 (* e (cos v)))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
93.0ms
(/ e (/ (sqrt (+ 1.0 (* e (cos v)))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))))

simplify193.0ms

Algorithm
egg-herbie
Counts
863 → 863
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0234220322
1500119307

prune1.9s

Filtered
863 candidates to 439 candidates (50.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes110.0ms

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
0126
1126

end0.0ms

sample1.7s

Algorithm
intervals
Results
640.0ms1497×body1280valid
335.0ms1255×body640valid
238.0ms4287×body80valid
118.0ms614×body320valid
112.0ms8000×pre80true
43.0ms347×body160valid