Details

Time bar (total: 3.4s)

sample257.0ms

Algorithm
intervals
Results
192.0ms256×pre80true
23.0ms51×body1280valid
11.0ms38×body640valid
10.0ms140×body80valid
2.0ms12×body320valid
2.0ms15×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0146
1186
2216
3226
4226

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

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

rewrite20.0ms

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 (sin v))
7.0ms
(* e (cos v))

series43.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms
(* e (sin v))
14.0ms
(* e (cos v))

simplify43.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune105.0ms

Filtered
68 candidates to 48 candidates (29.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New62668
Fresh000
Picked011
Done000
Total62769

Merged error: 0.0b

Counts
69 → 7

localize14.0ms

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)))

rewrite26.0ms

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×pow-sqr *-commutative pow-prod-up add-log-exp
3×unswap-sqr
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 88
Calls
4 calls:
4.0ms
(* e (cos v))
5.0ms
(* e (cos v))
4.0ms
(* e (cos v))
7.0ms
(* (* e (cos v)) (* e (cos v)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* e (cos v))
7.0ms
(* e (cos v))
6.0ms
(* e (cos v))
11.0ms
(* (* e (cos v)) (* e (cos v)))

simplify143.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0138375
1679299
23723288
35001288

prune89.0ms

Filtered
100 candidates to 55 candidates (45.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh055
Picked011
Done011
Total1007107

Merged error: 0.0b

Counts
107 → 7

localize12.0ms

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)))

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))
5.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series42.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* e (cos v))
15.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
20.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify63.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05181298
123271224
250021224

prune179.0ms

Filtered
126 candidates to 101 candidates (19.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1224126
Fresh044
Picked101
Done112
Total1249133

Merged error: 0.0b

Counts
133 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.2b
(* (sin v) (pow e 1/2))
0.2b
(* (sqrt e) (* (sin v) (pow e 1/2)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
22×add-cbrt-cube
20×add-sqr-sqrt
18×prod-exp
13×add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×associate-*r*
8×pow1 cbrt-unprod
5×div-exp
4×unpow-prod-down add-log-exp unswap-sqr
3×cbrt-undiv pow-to-exp times-frac pow-exp associate-/r* sqrt-prod *-commutative
2×pow-prod-down associate-/r/ sqr-pow
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
4 → 92
Calls
4 calls:
10.0ms
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
6.0ms
(* (sin v) (pow e 1/2))
7.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
6.0ms
(* e (cos v))
11.0ms
(* (sin v) (pow e 1/2))
10.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))

simplify101.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
0630827
13504679
25001676

prune127.0ms

Filtered
104 candidates to 74 candidates (28.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1022104
Fresh347
Picked011
Done011
Total1058113

Merged error: 0.0b

Counts
113 → 8

regimes125.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01614
11614

end0.0ms

sample1.8s

Algorithm
intervals
Results
674.0ms1487×body1280valid
350.0ms1253×body640valid
252.0ms4328×body80valid
131.0ms8000×pre80true
122.0ms612×body320valid
46.0ms320×body160valid

Profiling

Loading profile data...