Details

Time bar (total: 4.5s)

sample319.0ms

Algorithm
intervals
Results
25.0ms55×body1280valid
10.0ms34×body640valid
9.0ms136×body80valid
5.0ms256×pre80true
3.0ms16×body320valid
2.0ms15×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 0.1b

Counts
2 → 1

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))

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

series187.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
35.0ms
(* e (cos v))
63.0ms
(* e (sin v))

simplify44.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0295396
11372344
25001344

prune147.0ms

Filtered
68 candidates to 48 candidates (70.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New61768
Fresh000
Picked101
Done000
Total62769

Merged error: 0.0b

Counts
69 → 7

localize13.0ms

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 (* (cbrt (+ 1.0 (* e (cos v)))) (cbrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (cbrt (+ 1.0 (* e (cos v))))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
33×associate-*r*
31×add-exp-log
28×times-frac
25×add-cube-cbrt *-un-lft-identity
24×associate-*l* add-cbrt-cube
14×cbrt-div
12×pow1
11×cbrt-prod prod-exp cbrt-unprod
10×associate-/r/
9×unswap-sqr
7×cbrt-undiv flip3-+ div-exp flip-+
5×frac-times
4×pow-prod-down *-commutative add-log-exp
3×associate-*r/ associate-*l/
2×div-inv
Counts
4 → 123
Calls
4 calls:
4.0ms
(* e (cos v))
4.0ms
(* e (cos v))
4.0ms
(* e (cos v))
22.0ms
(* (/ e (* (cbrt (+ 1.0 (* e (cos v)))) (cbrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (cbrt (+ 1.0 (* e (cos v))))))

series196.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* e (cos v))
34.0ms
(* e (cos v))
38.0ms
(* e (cos v))
87.0ms
(* (/ e (* (cbrt (+ 1.0 (* e (cos v)))) (cbrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (cbrt (+ 1.0 (* e (cos v))))))

simplify82.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06021716
129261509
250021398

prune326.0ms

Filtered
135 candidates to 96 candidates (71.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1341135
Fresh156
Picked011
Done000
Total1357142

Merged error: 0.0b

Counts
142 → 7

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)))

rewrite20.0ms

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)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* e (cos v))
69.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
86.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify66.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05181298
123271224
250011224

prune283.0ms

Filtered
126 candidates to 101 candidates (80.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1224126
Fresh235
Picked101
Done011
Total1258133

Merged error: 0.0b

Counts
133 → 8

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))
0.3b
(* (sqrt e) (* (sin v) (pow e 1/2)))

rewrite29.0ms

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:
9.0ms
(/ (* (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)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
40.0ms
(* e (cos v))
54.0ms
(* (sin v) (pow e 1/2))
50.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))

simplify90.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0573823
12895661
25002647

prune219.0ms

Filtered
104 candidates to 73 candidates (70.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1022104
Fresh156
Picked101
Done011
Total1048112

Merged error: 0b

Counts
112 → 8

regimes107.0ms

Accuracy

0% (0.2b 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
01517
11517

end0.0ms

sample1.8s

Algorithm
intervals
Results
697.0ms1517×body1280valid
375.0ms1263×body640valid
269.0ms4246×body80valid
138.0ms8000×pre80true
126.0ms633×body320valid
48.0ms341×body160valid