Details

Time bar (total: 4.5s)

sample331.0ms

Algorithm
intervals
Results
24.0ms50×body1280valid
11.0ms154×body80valid
7.0ms25×body640valid
5.0ms256×pre80true
4.0ms20×body320valid
1.0ms7×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

localize36.0ms

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))

series176.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
42.0ms
(* e (cos v))
47.0ms
(* e (sin v))

simplify43.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0295396
11372344
25001344

prune143.0ms

Filtered
68 candidates to 48 candidates (70.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New61768
Fresh000
Picked011
Done000
Total61869

Merged error: 0.0b

Counts
69 → 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))
5.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* e (cos v))
69.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
87.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify67.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05181298
123271224
250021224

prune286.0ms

Filtered
126 candidates to 101 candidates (80.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1233126
Fresh246
Picked101
Done011
Total1268134

Merged error: 0.0b

Counts
134 → 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
(* (sqrt e) (* (sin v) (pow e 1/2)))
0.2b
(* (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:
10.0ms
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
7.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))
6.0ms
(* (sin v) (pow e 1/2))

series239.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
35.0ms
(* e (cos v))
47.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))
60.0ms
(* (sin v) (pow e 1/2))

simplify91.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
0573823
12886661
25001647

prune243.0ms

Filtered
104 candidates to 72 candidates (69.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh066
Picked011
Done011
Total1039112

Merged error: 0b

Counts
112 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (sqrt e) 1/2)
0.2b
(* (sqrt e) (* (* (sin v) (pow (sqrt e) 1/2)) (pow (sqrt e) 1/2)))
0.3b
(* (* (sin v) (pow (sqrt e) 1/2)) (pow (sqrt e) 1/2))
0.3b
(* (sin v) (pow (sqrt e) 1/2))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
58×prod-exp
23×add-sqr-sqrt
21×associate-*r*
20×unpow-prod-down add-cbrt-cube
16×pow-to-exp add-cube-cbrt *-un-lft-identity pow-exp
13×sqrt-prod
10×associate-*l* cbrt-unprod
8×pow1
4×add-log-exp unswap-sqr sqr-pow
3×pow-unpow pow-pow *-commutative
1×sqrt-pow1 pow1/2 pow-prod-down sqrt-pow2 unpow1/2
Counts
4 → 118
Calls
4 calls:
3.0ms
(pow (sqrt e) 1/2)
12.0ms
(* (sqrt e) (* (* (sin v) (pow (sqrt e) 1/2)) (pow (sqrt e) 1/2)))
10.0ms
(* (* (sin v) (pow (sqrt e) 1/2)) (pow (sqrt e) 1/2))
7.0ms
(* (sin v) (pow (sqrt e) 1/2))

series314.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(pow (sqrt e) 1/2)
44.0ms
(* (sqrt e) (* (* (sin v) (pow (sqrt e) 1/2)) (pow (sqrt e) 1/2)))
60.0ms
(* (* (sin v) (pow (sqrt e) 1/2)) (pow (sqrt e) 1/2))
90.0ms
(* (sin v) (pow (sqrt e) 1/2))

simplify73.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05301026
12380785
25001714

prune241.0ms

Filtered
130 candidates to 72 candidates (55.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1291130
Fresh156
Picked011
Done022
Total1309139

Merged error: 0b

Counts
139 → 9

regimes114.0ms

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 (1.0ms)

IterNodesCost
0126
1126

end0.0ms

sample1.7s

Algorithm
intervals
Results
672.0ms1526×body1280valid
330.0ms1184×body640valid
251.0ms4332×body80valid
132.0ms645×body320valid
132.0ms8000×pre80true
41.0ms313×body160valid

Profiling

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