Details

Time bar (total: 4.9s)

sample309.0ms

Algorithm
intervals
Results
23.0ms54×body1280valid
9.0ms35×body640valid
8.0ms128×body80valid
5.0ms27×body320valid
4.0ms256×pre80true
1.0ms12×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0146
1186
2216
3226
4226

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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))

rewrite17.0ms

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))

series184.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
35.0ms
(* e (cos v))
61.0ms
(* e (sin v))

simplify41.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune159.0ms

Filtered
68 candidates to 48 candidates (70.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

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)))

rewrite25.0ms

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))
10.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* e (cos v))
65.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
85.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify63.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05181298
123271224
250011224

prune330.0ms

Filtered
126 candidates to 101 candidates (80.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
50×times-frac
33×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
22×add-exp-log add-cbrt-cube
11×associate-/r* associate-/r/
10×associate-*r/
8×pow1
7×cbrt-undiv div-exp associate-/l*
6×flip3-- associate-*r* associate-*l* flip-- div-inv difference-of-squares
4×prod-exp cbrt-unprod add-log-exp
2×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ unswap-sqr
1×div-sub
Counts
4 → 124
Calls
4 calls:
3.0ms
(* e (cos v))
3.0ms
(* e (cos v))
10.0ms
(/ (- (* 1.0 1.0) (* (* e (cos v)) (* e (cos v)))) (* (sin v) (- 1.0 (* e (cos v)))))
11.0ms
(/ e (/ (- (* 1.0 1.0) (* (* e (cos v)) (* e (cos v)))) (* (sin v) (- 1.0 (* e (cos v))))))

series316.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* e (cos v))
39.0ms
(* e (cos v))
114.0ms
(/ (- (* 1.0 1.0) (* (* e (cos v)) (* e (cos v)))) (* (sin v) (- 1.0 (* e (cos v)))))
129.0ms
(/ e (/ (- (* 1.0 1.0) (* (* e (cos v)) (* e (cos v)))) (* (sin v) (- 1.0 (* e (cos v))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
05841977
134581664
250021544

prune373.0ms

Filtered
136 candidates to 105 candidates (77.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l*
34×add-exp-log add-cbrt-cube
32×distribute-rgt-in distribute-lft-in
29×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
24×times-frac
22×pow1
17×prod-exp cbrt-unprod
15×sqrt-prod
14×associate-*r/
12×sub-neg
11×pow-prod-down
8×associate-*r*
6×difference-of-squares
4×flip3-- *-commutative flip-- add-log-exp
3×cbrt-undiv div-exp
2×frac-times associate-/r/ unswap-sqr
1×associate-*l/ div-inv
Counts
4 → 142
Calls
4 calls:
3.0ms
(* e (cos v))
3.0ms
(* e (cos v))
14.0ms
(* (sqrt e) (* (sin v) (- 1.0 (* e (cos v)))))
56.0ms
(* (/ (sqrt e) (- (* 1.0 1.0) (* (* e (cos v)) (* e (cos v))))) (* (sqrt e) (* (sin v) (- 1.0 (* e (cos v))))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* e (cos v))
35.0ms
(* e (cos v))
138.0ms
(* (sqrt e) (* (sin v) (- 1.0 (* e (cos v)))))
144.0ms
(* (/ (sqrt e) (- (* 1.0 1.0) (* (* e (cos v)) (* e (cos v))))) (* (sqrt e) (* (sin v) (- 1.0 (* e (cos v))))))

simplify113.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
08122271
137681857
250021857

prune342.0ms

Filtered
154 candidates to 91 candidates (59.1%)
Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes133.0ms

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

sample1.6s

Algorithm
intervals
Results
638.0ms1497×body1280valid
322.0ms1255×body640valid
224.0ms4287×body80valid
112.0ms614×body320valid
106.0ms8000×pre80true
45.0ms347×body160valid