Details

Time bar (total: 4.2s)

sample297.0ms

Algorithm
intervals
Results
19.0ms46×body1280valid
9.0ms145×body80valid
9.0ms34×body640valid
4.0ms256×pre80true
3.0ms19×body320valid
1.0ms12×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 (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))

series185.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms
(* e (sin v))
59.0ms
(* e (cos v))

simplify44.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0303422
11415368
25001362

prune187.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* e (cos v))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
12×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
4×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
4 → 80
Calls
4 calls:
3.0ms
(* e (cos v))
3.0ms
(* e (cos v))
3.0ms
(* e (cos v))
4.0ms
(* e (cos v))

series143.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* e (cos v))
36.0ms
(* e (cos v))
34.0ms
(* e (cos v))
38.0ms
(* e (cos v))

simplify60.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
062312
1221272
2518272
3798272
41903272
55002272

prune310.0ms

Filtered
92 candidates to 64 candidates (69.6%)
Pruning

8 alts after pruning (7 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)
0.3b
(/ (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))

series136.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (fma (cos v) e 1.0) e)
81.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify58.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04361039
11847982
25001979

prune296.0ms

Filtered
107 candidates to 88 candidates (82.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:
8.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
3.0ms
(* e (cos v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series184.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
36.0ms
(* e (cos v))
83.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify69.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05301326
123771222
250011212

prune345.0ms

Filtered
132 candidates to 110 candidates (83.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02420
12420

end0.0ms

sample1.6s

Algorithm
intervals
Results
663.0ms1545×body1280valid
322.0ms1184×body640valid
234.0ms4388×body80valid
111.0ms8000×pre80true
109.0ms597×body320valid
36.0ms286×body160valid