Details

Time bar (total: 5.0s)

sample308.0ms

Algorithm
intervals
Results
24.0ms54×body1280valid
13.0ms45×body640valid
9.0ms132×body80valid
5.0ms256×pre80true
4.0ms21×body320valid
1.0ms4×body160valid

simplify14.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.2b
(* 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))
6.0ms
(* e (sin v))

series193.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms
(* e (cos v))
64.0ms
(* e (sin v))

simplify42.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0295396
11372344
25001344

prune155.0ms

Filtered
68 candidates to 48 candidates (70.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New60868
Fresh000
Picked101
Done000
Total61869

Merged error: 0.0b

Counts
69 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt e) (cbrt e))
0.7b
(cbrt e)
0.7b
(cbrt e)
0.7b
(cbrt e)

rewrite12.0ms

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:
6.0ms
(* (cbrt e) (cbrt e))
1.0ms
(cbrt e)
1.0ms
(cbrt e)
2.0ms
(cbrt e)

series725.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt e) (cbrt e))
174.0ms
(cbrt e)
173.0ms
(cbrt e)
178.0ms
(cbrt e)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune214.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh077
Picked011
Done000
Total85893

Merged error: 0.0b

Counts
93 → 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))
6.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series193.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* e (cos v))
71.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
88.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify66.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05181298
123271224
250011224

prune300.0ms

Filtered
126 candidates to 101 candidates (80.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1206126
Fresh336
Picked101
Done011
Total12410134

Merged error: 0.0b

Counts
134 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt e) (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.3b
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
0.3b
(* (sqrt e) (sin v))

rewrite31.0ms

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:
6.0ms
(/ (sqrt e) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
12.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
5.0ms
(* (sqrt e) (sin v))

series305.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (sqrt e) (+ 1.0 (* e (cos v))))
40.0ms
(* e (cos v))
99.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
76.0ms
(* (sqrt e) (sin v))

simplify88.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
07021261
132321095
250011092

prune289.0ms

Filtered
137 candidates to 97 candidates (70.8%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1334137
Fresh358
Picked011
Done011
Total13611147

Merged error: 0b

Counts
147 → 11

regimes84.0ms

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
01611
11611

end0.0ms

sample1.7s

Algorithm
intervals
Results
650.0ms1460×body1280valid
365.0ms1267×body640valid
248.0ms4317×body80valid
140.0ms8000×pre80true
126.0ms627×body320valid
44.0ms329×body160valid

Profiling

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