Details

Time bar (total: 4.1s)

sample291.0ms

Algorithm
intervals
Results
20.0ms47×body1280valid
12.0ms46×body640valid
7.0ms134×body80valid
4.0ms256×pre80true
3.0ms19×body320valid
1.0ms10×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:
5.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
3.0ms
(* e (sin v))
6.0ms
(* e (cos v))

series178.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms
(* e (sin v))
54.0ms
(* e (cos v))

simplify43.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0303422
11415368
25001362

prune180.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)) (* e (cos v)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1
22×add-exp-log add-cbrt-cube
20×pow-prod-down
16×add-sqr-sqrt
11×prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
4×expm1-log1p-u pow-sqr *-commutative pow-prod-up log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 96
Calls
4 calls:
3.0ms
(* e (cos v))
3.0ms
(* e (cos v))
3.0ms
(* e (cos v))
11.0ms
(* (* e (cos v)) (* e (cos v)))

series163.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* e (cos v))
37.0ms
(* e (cos v))
34.0ms
(* e (cos v))
57.0ms
(* (* e (cos v)) (* e (cos v)))

simplify143.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0142405
1685329
23744318
35003318

prune295.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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)))

rewrite21.0ms

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

series185.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
35.0ms
(* e (cos v))
84.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05301326
123771222
250011212

prune357.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*l*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r* 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 pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
2.0ms
(/ e (fma (cos v) e 1.0))
8.0ms
(* (/ e (fma (cos v) e 1.0)) (sin v))

series146.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ e (fma (cos v) e 1.0))
89.0ms
(* (/ e (fma (cos v) e 1.0)) (sin v))

simplify39.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0299516
11239462
25002456

prune174.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

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
095
195

end0.0ms

sample1.6s

Algorithm
intervals
Results
635.0ms1495×body1280valid
340.0ms1261×body640valid
231.0ms4324×body80valid
108.0ms613×body320valid
100.0ms8000×pre80true
37.0ms307×body160valid