Details

Time bar (total: 4.0s)

sample254.0ms

Algorithm
intervals
Results
203.0ms40×body1280valid
13.0ms42×body640valid
11.0ms151×body80valid
5.0ms256×pre80true
2.0ms10×body320valid
2.0ms13×body160valid

simplify375.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0146
1186
2216
3226
4226

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize27.0ms

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))

rewrite18.0ms

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))))
4.0ms
(* e (cos v))
7.0ms
(* e (sin v))

series42.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms
(* e (cos v))
15.0ms
(* e (sin v))

simplify42.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune106.0ms

Filtered
48 candidates to 68 candidates (-41.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New61768
Fresh000
Picked101
Done000
Total62769

Merged error: 0.0b

Counts
69 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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))
4.0ms
(* e (cos v))
7.0ms
(* (* e (cos v)) (* e (cos v)))
4.0ms
(* e (sin v))

series32.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* e (cos v))
6.0ms
(* e (cos v))
13.0ms
(* (* e (cos v)) (* e (cos v)))
7.0ms
(* e (sin v))

simplify162.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0186378
1860300
24587289
35001289

prune93.0ms

Filtered
55 candidates to 100 candidates (-81.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1000100
Fresh066
Picked011
Done000
Total1007107

Merged error: 0.0b

Counts
107 → 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)))

rewrite22.0ms

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

series40.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* e (cos v))
15.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
19.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05181298
123271224
250021224

prune170.0ms

Filtered
101 candidates to 126 candidates (-24.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1224126
Fresh325
Picked011
Done011
Total1258133

Merged error: 0b

Counts
133 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
37×add-cube-cbrt *-un-lft-identity
36×times-frac
33×associate-*l*
25×sqrt-prod
22×add-exp-log add-cbrt-cube
13×pow1
8×prod-exp cbrt-unprod
7×associate-*r*
6×associate-/l*
5×pow-prod-down
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/r* *-commutative unswap-sqr
2×flip3-+ flip-+ div-inv
1×frac-2neg associate-*l/ clear-num
Counts
4 → 125
Calls
4 calls:
5.0ms
(/ (sqrt e) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
11.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
5.0ms
(* (sqrt e) (sin v))

series75.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (sqrt e) (+ 1.0 (* e (cos v))))
6.0ms
(* e (cos v))
28.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
14.0ms
(* (sqrt e) (sin v))

simplify100.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07571264
138191122
250031119

prune144.0ms

Filtered
99 candidates to 137 candidates (-38.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1361137
Fresh145
Picked011
Done022
Total1378145

Merged error: 0b

Counts
145 → 8

regimes124.0ms

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

sample2.0s

Algorithm
intervals
Results
755.0ms1577×body1280valid
362.0ms1157×body640valid
289.0ms4380×body80valid
131.0ms8000×pre80true
118.0ms549×body320valid
50.0ms337×body160valid

Profiling

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