Details

Time bar (total: 4.8s)

sample301.0ms

Algorithm
intervals
Results
21.0ms50×body1280valid
12.0ms43×body640valid
7.0ms131×body80valid
4.0ms256×pre80true
4.0ms21×body320valid
1.0ms11×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0146
1186
2216
3226
4226

prune4.0ms

Pruning

1 alts after pruning (1 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))
0.1b
(* 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×times-frac prod-exp associate-/r* cbrt-unprod 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 → 59
Calls
3 calls:
5.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
3.0ms
(* e (cos v))
6.0ms
(* e (sin v))

series189.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms
(* e (cos v))
60.0ms
(* e (sin v))

simplify43.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0295396
11372344
25001344

prune169.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ e (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))))))

rewrite54.0ms

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×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 → 154
Calls
4 calls:
5.0ms
(/ e (sqrt (+ 1.0 (* e (cos v)))))
3.0ms
(* e (cos v))
3.0ms
(* e (cos v))
36.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

series270.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ e (sqrt (+ 1.0 (* e (cos v)))))
40.0ms
(* e (cos v))
36.0ms
(* e (cos v))
89.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

simplify80.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06591883
129351720
250011644

prune444.0ms

Pruning

6 alts after pruning (5 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)))

rewrite22.0ms

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×associate-*r* associate-*l* 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 → 117
Calls
3 calls:
3.0ms
(* e (cos v))
7.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series197.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* e (cos v))
70.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
88.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05181298
123271224
250011224

prune344.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt e) (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.3b
(* (sqrt e) (sin v))
0.3b
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
37×add-cube-cbrt *-un-lft-identity
36×times-frac
33×associate-*l*
25×sqrt-prod
22×add-exp-log add-cbrt-cube
13×pow1
8×prod-exp cbrt-unprod
7×associate-*r*
6×associate-/l*
5×pow-prod-down
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/r* *-commutative unswap-sqr
2×flip3-+ flip-+ div-inv
1×frac-2neg associate-*l/ clear-num
Counts
4 → 125
Calls
4 calls:
5.0ms
(/ (sqrt e) (+ 1.0 (* e (cos v))))
3.0ms
(* e (cos v))
5.0ms
(* (sqrt e) (sin v))
22.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

series311.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (sqrt e) (+ 1.0 (* e (cos v))))
42.0ms
(* e (cos v))
73.0ms
(* (sqrt e) (sin v))
104.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

simplify90.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07021261
132321095
250011092

prune350.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01412
11412

end0.0ms

sample1.7s

Algorithm
intervals
Results
655.0ms1506×body1280valid
336.0ms1283×body640valid
242.0ms4284×body80valid
115.0ms600×body320valid
103.0ms8000×pre80true
40.0ms327×body160valid