Details

Time bar (total: 5.5s)

sample355.0ms

Algorithm
intervals
Results
13.0ms32×body1280valid
9.0ms36×body640valid
9.0ms148×body80valid
5.0ms30×body320valid
4.0ms256×pre80true
1.0ms10×body160valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0146
1205
2235
3245
4245

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))

rewrite39.0ms

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:
16.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms
(* e (cos v))
12.0ms
(* e (sin v))

series187.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms
(* e (cos v))
55.0ms
(* e (sin v))

simplify43.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0303422
11415368
25001362

prune195.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.2b
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
66×times-frac
49×add-cube-cbrt *-un-lft-identity
36×sqrt-prod
30×associate-*r* associate-*l*
22×add-exp-log add-cbrt-cube
11×unswap-sqr
10×pow1
6×sqrt-div prod-exp associate-/r* associate-/r/ cbrt-unprod
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-+ pow-prod-down *-commutative flip-+ div-inv associate-/l*
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num
Counts
4 → 162
Calls
4 calls:
14.0ms
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
8.0ms
(* e (cos v))
8.0ms
(* e (cos v))
58.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

series265.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
36.0ms
(* e (cos v))
39.0ms
(* e (cos v))
91.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

simplify78.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06502002
129391830
250011738

prune484.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

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:
11.0ms
(* e (cos v))
23.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
15.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series200.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* e (cos v))
69.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
91.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05301326
123771222
250011212

prune377.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(/ (+ (pow 1.0 3) (pow (* e (cos v)) 3)) (* (+ (* (* e (cos v)) (- (* e (cos v)) 1.0)) (* 1.0 1.0)) (sin v)))
0.2b
(/ e (/ (+ (pow 1.0 3) (pow (* e (cos v)) 3)) (* (+ (* (* e (cos v)) (- (* e (cos v)) 1.0)) (* 1.0 1.0)) (sin v))))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
42×*-un-lft-identity
34×add-sqr-sqrt
30×add-cube-cbrt
22×add-exp-log add-cbrt-cube
12×associate-/r*
11×associate-/r/
10×associate-*l/
8×pow1 associate-/l*
7×cbrt-undiv div-exp
6×flip3-+ associate-*r* associate-*l* sum-cubes flip-+ div-inv distribute-lft-out
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ unswap-sqr
Counts
4 → 137
Calls
4 calls:
9.0ms
(* e (cos v))
9.0ms
(* e (cos v))
103.0ms
(/ (+ (pow 1.0 3) (pow (* e (cos v)) 3)) (* (+ (* (* e (cos v)) (- (* e (cos v)) 1.0)) (* 1.0 1.0)) (sin v)))
111.0ms
(/ e (/ (+ (pow 1.0 3) (pow (* e (cos v)) 3)) (* (+ (* (* e (cos v)) (- (* e (cos v)) 1.0)) (* 1.0 1.0)) (sin v))))

series416.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* e (cos v))
37.0ms
(* e (cos v))
167.0ms
(/ (+ (pow 1.0 3) (pow (* e (cos v)) 3)) (* (+ (* (* e (cos v)) (- (* e (cos v)) 1.0)) (* 1.0 1.0)) (sin v)))
173.0ms
(/ e (/ (+ (pow 1.0 3) (pow (* e (cos v)) 3)) (* (+ (* (* e (cos v)) (- (* e (cos v)) 1.0)) (* 1.0 1.0)) (sin v))))

simplify122.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
06462580
134792203
250022194

prune510.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes81.0ms

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
01412
11412

end0.0ms

sample1.6s

Algorithm
intervals
Results
614.0ms1488×body1280valid
321.0ms1232×body640valid
229.0ms4334×body80valid
105.0ms619×body320valid
96.0ms8000×pre80true
38.0ms327×body160valid