Details

Time bar (total: 4.7s)

sample341.0ms

Algorithm
intervals
Results
20.0ms43×body1280valid
12.0ms44×body640valid
9.0ms140×body80valid
5.0ms256×pre80true
4.0ms21×body320valid
1.0ms8×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0146
1186
2216
3226
4226

prune6.0ms

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

localize32.0ms

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))

rewrite21.0ms

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))

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))

simplify41.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune227.0ms

Filtered
68 candidates to 48 candidates (29.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New59968
Fresh000
Picked101
Done000
Total60969

Merged error: 0.0b

Counts
69 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt e) (cbrt e))
0.6b
(cbrt e)
0.6b
(cbrt e)
0.6b
(cbrt e)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt e) (cbrt e))
1.0ms
(cbrt e)
1.0ms
(cbrt e)
1.0ms
(cbrt e)

series95.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt e) (cbrt e))
25.0ms
(cbrt e)
22.0ms
(cbrt e)
23.0ms
(cbrt e)

simplify74.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune356.0ms

Filtered
85 candidates to 56 candidates (34.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh088
Picked011
Done000
Total85994

Merged error: 0.0b

Counts
94 → 9

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))
5.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
9.0ms
(/ 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)))

simplify63.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05181298
123271224
250021224

prune625.0ms

Filtered
126 candidates to 101 candidates (19.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1233126
Fresh437
Picked011
Done011
Total1278135

Merged error: 0b

Counts
135 → 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))
0.2b
(* (sqrt e) (* (sin v) (pow e 1/2)))

rewrite28.0ms

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))
5.0ms
(* (sin v) (pow e 1/2))
7.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
7.0ms
(* e (cos v))
10.0ms
(* (sin v) (pow e 1/2))
13.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))

simplify104.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
0630827
13504679
25001676

prune493.0ms

Filtered
104 candidates to 73 candidates (29.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh055
Picked011
Done022
Total1048112

Merged error: 0b

Counts
112 → 8

regimes130.0ms

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
01611
11611

end0.0ms

sample1.8s

Algorithm
intervals
Results
661.0ms1530×body1280valid
364.0ms1294×body640valid
243.0ms4260×body80valid
131.0ms8000×pre80true
118.0ms619×body320valid
42.0ms297×body160valid

Profiling

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