Details

Time bar (total: 5.3s)

sample297.0ms

Algorithm
intervals
Results
22.0ms45×body1280valid
9.0ms31×body640valid
8.0ms138×body80valid
6.0ms32×body320valid
6.0ms256×pre80true
1.0ms10×body160valid

simplify13.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

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))
0.1b
(* e (sin v))

rewrite19.0ms

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:
6.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
6.0ms
(* e (sin v))

series194.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms
(* e (cos v))
65.0ms
(* e (sin v))

simplify45.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0295396
11372344
25001344

prune154.0ms

Filtered
68 candidates to 48 candidates (70.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New60868
Fresh000
Picked101
Done000
Total61869

Merged error: 0.0b

Counts
69 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (sin v))
0.1b
(pow (* e (cos v)) 3)
0.1b
(* (* e (cos v)) (* e (cos v)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
23×add-exp-log add-cbrt-cube
20×pow-prod-down
13×add-sqr-sqrt
11×prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
7×associate-*r* associate-*l*
4×pow-sqr pow-prod-up add-log-exp
3×pow-unpow *-commutative
2×pow-pow pow-plus pow-exp rem-cube-cbrt unswap-sqr
1×pow2 cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod swap-sqr sqr-pow
Counts
4 → 92
Calls
4 calls:
4.0ms
(* e (cos v))
4.0ms
(* e (sin v))
4.0ms
(pow (* e (cos v)) 3)
7.0ms
(* (* e (cos v)) (* e (cos v)))

series202.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* e (cos v))
38.0ms
(* e (sin v))
69.0ms
(pow (* e (cos v)) 3)
59.0ms
(* (* e (cos v)) (* e (cos v)))

simplify57.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0249324
11278301
25001299

prune228.0ms

Filtered
104 candidates to 56 candidates (53.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1040104
Fresh077
Picked011
Done000
Total1048112

Merged error: 0.0b

Counts
112 → 8

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)))

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×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:
4.0ms
(* e (cos v))
6.0ms
(/ (+ 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:
36.0ms
(* e (cos v))
72.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
89.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify74.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05181298
123271224
250011224

prune292.0ms

Filtered
126 candidates to 101 candidates (80.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1215126
Fresh336
Picked101
Done011
Total1259134

Merged error: 0.0b

Counts
134 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.2b
(/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))
0.2b
(* (/ (sqrt e) (sqrt (+ 1.0 (* e (cos v))))) (/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))))
0.3b
(/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v)))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
630×times-frac
456×add-sqr-sqrt
353×sqrt-prod
306×add-cube-cbrt *-un-lft-identity
140×associate-*r*
45×associate-*l*
36×unswap-sqr
34×add-exp-log add-cbrt-cube
25×associate-/r*
17×div-inv
13×cbrt-undiv div-exp
12×associate-/l*
8×pow1
7×prod-exp cbrt-unprod
4×sqrt-div associate-/r/ add-log-exp
2×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ associate-/l/
1×frac-times associate-*r/ associate-*l/
Counts
4 → 472
Calls
4 calls:
4.0ms
(* e (cos v))
6.0ms
(/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))
96.0ms
(* (/ (sqrt e) (sqrt (+ 1.0 (* e (cos v))))) (/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))))
11.0ms
(/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* e (cos v))
113.0ms
(/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))
104.0ms
(* (/ (sqrt e) (sqrt (+ 1.0 (* e (cos v))))) (/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))))
164.0ms
(/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v)))

simplify108.0ms

Algorithm
egg-herbie
Counts
484 → 484
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
016858614
150028182

prune919.0ms

Filtered
484 candidates to 251 candidates (51.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New4822484
Fresh257
Picked011
Done011
Total4849493

Merged error: 0b

Counts
493 → 9

regimes87.0ms

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
02420
12420

end0.0ms

sample1.8s

Algorithm
intervals
Results
670.0ms1518×body1280valid
338.0ms1211×body640valid
262.0ms4353×body80valid
152.0ms8000×pre80true
118.0ms598×body320valid
42.0ms320×body160valid

Profiling

Loading profile data...