Details

Time bar (total: 3.9s)

sample280.0ms

Algorithm
intervals
Results
213.0ms45×body640valid
28.0ms58×body1280valid
8.0ms127×body80valid
5.0ms256×pre80true
4.0ms18×body320valid
3.0ms8×body160valid

simplify450.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02211
12211

prune13.0ms

Filtered
1 candidates to 1 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 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
8×pow1
6×associate-*r* associate-*l* add-log-exp
3×times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv flip3-+ div-exp pow-prod-down associate-/r/ *-commutative flip-+ unswap-sqr
1×+-commutative frac-2neg clear-num sum-log div-inv associate-/l*
Counts
4 → 70
Calls
4 calls:
3.0ms
(+ 1.0 (* e (cos v)))
6.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms
(* e (sin v))
7.0ms
(* e (cos v))

series50.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ 1.0 (* e (cos v)))
21.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms
(* e (sin v))
15.0ms
(* e (cos v))

simplify52.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05856722

prune108.0ms

Filtered
59 candidates to 82 candidates (-39.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New77582
Fresh011
Picked101
Done000
Total78684

Merged error: 0.0b

Counts
84 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
13×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l* add-log-exp
4×associate-/r/
3×flip3-+ prod-exp associate-/r* cbrt-unprod flip-+ associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
1×+-commutative frac-2neg associate-*r/ clear-num sum-log
Counts
4 → 92
Calls
4 calls:
3.0ms
(+ 1.0 (* e (cos v)))
5.0ms
(/ (sin v) (+ 1.0 (* e (cos v))))
8.0ms
(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
4.0ms
(* e (cos v))

series48.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ 1.0 (* e (cos v)))
13.0ms
(/ (sin v) (+ 1.0 (* e (cos v))))
22.0ms
(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
6.0ms
(* e (cos v))

simplify49.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049701224
149701224

prune132.0ms

Filtered
82 candidates to 104 candidates (-26.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1022104
Fresh055
Picked011
Done000
Total1028110

Merged error: 0.0b

Counts
110 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
58×add-sqr-sqrt
56×add-cube-cbrt *-un-lft-identity
16×associate-/r*
13×add-exp-log add-cbrt-cube
6×pow1 div-inv associate-/l* add-log-exp
4×cbrt-undiv div-exp
3×associate-*r* associate-*l*
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative pow-prod-down prod-exp sum-log associate-/r/ *-commutative cbrt-unprod unswap-sqr
Counts
4 → 128
Calls
4 calls:
4.0ms
(+ (* e (cos v)) 1.0)
6.0ms
(/ (+ (* e (cos v)) 1.0) (sin v))
4.0ms
(* e (cos v))
10.0ms
(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* e (cos v)) 1.0)
15.0ms
(/ (+ (* e (cos v)) 1.0) (sin v))
7.0ms
(* e (cos v))
19.0ms
(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify73.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049592142
149592142

prune171.0ms

Filtered
112 candidates to 140 candidates (-25.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1382140
Fresh156
Picked011
Done011
Total1399148

Merged error: 0b

Counts
148 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
0.2b
(* e (cos v))
0.3b
(* (sqrt e) (* (sqrt e) (sin v)))
0.3b
(* (sqrt e) (sin v))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
15×associate-*l*
13×pow1 add-cube-cbrt *-un-lft-identity
8×prod-exp cbrt-unprod
7×associate-*r* sqrt-prod
5×pow-prod-down
4×add-log-exp
3×cbrt-undiv times-frac div-exp associate-/r* *-commutative unswap-sqr
2×associate-/r/
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
4 → 86
Calls
4 calls:
9.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
7.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
5.0ms
(* (sqrt e) (sin v))

series57.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
7.0ms
(* e (cos v))
9.0ms
(* (sqrt e) (* (sqrt e) (sin v)))
14.0ms
(* (sqrt e) (sin v))

simplify54.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04976945
14976945

prune88.0ms

Filtered
70 candidates to 98 candidates (-40.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh066
Picked011
Done022
Total989107

Merged error: 0b

Counts
107 → 9

regimes124.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211
11211

end0.0ms

sample1.9s

Algorithm
intervals
Results
692.0ms1489×body1280valid
383.0ms1316×body640valid
280.0ms4273×body80valid
136.0ms8000×pre80true
129.0ms622×body320valid
44.0ms300×body160valid

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