Details

Time bar (total: 4.3s)

sample316.0ms

Algorithm
intervals
Results
22.0ms48×body1280valid
15.0ms54×body640valid
9.0ms127×body80valid
6.0ms256×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

localize13.0ms

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))

rewrite37.0ms

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))
6.0ms
(* e (cos v))

series219.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ 1.0 (* e (cos v)))
92.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
39.0ms
(* e (sin v))
48.0ms
(* e (cos v))

simplify46.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0316470
11448411
25001411

prune176.0ms

Filtered
82 candidates to 60 candidates (73.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New75782
Fresh000
Picked101
Done000
Total76783

Merged error: 0.0b

Counts
83 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* e (sin v)) (+ 1.0 (log (exp (* e (cos v))))))
0.1b
(* e (sin v))
0.2b
(* e (cos v))
7.4b
(log (exp (* e (cos v))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
11×pow1 add-cube-cbrt
6×associate-*r* associate-*l*
5×times-frac associate-/r* log-pow add-log-exp
4×distribute-lft-out
3×log-prod prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-/r/ *-commutative unswap-sqr
1×exp-prod exp-to-pow frac-2neg flip3-+ rem-log-exp clear-num flip-+ div-inv associate-/l*
Counts
4 → 77
Calls
4 calls:
7.0ms
(/ (* e (sin v)) (+ 1.0 (log (exp (* e (cos v))))))
4.0ms
(* e (sin v))
4.0ms
(* e (cos v))
2.0ms
(log (exp (* e (cos v))))

series201.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ (* e (sin v)) (+ 1.0 (log (exp (* e (cos v))))))
38.0ms
(* e (sin v))
39.0ms
(* e (cos v))
36.0ms
(log (exp (* e (cos v))))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0312543
11394463
25001447

prune187.0ms

Filtered
89 candidates to 61 candidates (68.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New89089
Fresh066
Picked011
Done000
Total89796

Merged error: 0.0b

Counts
96 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (+ (* (cos v) e) 1.0) 3))
0.1b
(pow (+ (* (cos v) e) 1.0) 3)
0.1b
(* e (sin v))
0.2b
(* (cos v) e)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×cbrt-prod
9×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod associate-*r* associate-*l*
4×cube-div add-log-exp
3×pow-unpow
2×cube-mult cbrt-div flip3-+ unpow3 pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 84
Calls
4 calls:
5.0ms
(cbrt (pow (+ (* (cos v) e) 1.0) 3))
5.0ms
(pow (+ (* (cos v) e) 1.0) 3)
4.0ms
(* e (sin v))
4.0ms
(* (cos v) e)

series162.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(cbrt (pow (+ (* (cos v) e) 1.0) 3))
45.0ms
(pow (+ (* (cos v) e) 1.0) 3)
37.0ms
(* e (sin v))
41.0ms
(* (cos v) e)

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0331507
11438474
25001467

prune189.0ms

Filtered
96 candidates to 58 candidates (60.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh055
Picked011
Done011
Total967103

Merged error: 0.0b

Counts
103 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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
(+ (* (cos v) e) 1.0)
6.0ms
(/ (+ (* (cos v) e) 1.0) (sin v))
4.0ms
(* (cos v) e)
7.0ms
(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

series232.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ (* (cos v) e) 1.0)
60.0ms
(/ (+ (* (cos v) e) 1.0) (sin v))
42.0ms
(* (cos v) e)
87.0ms
(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

simplify70.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05571377
123931301
250011301

prune306.0ms

Filtered
140 candidates to 112 candidates (80.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1364140
Fresh224
Picked011
Done112
Total1398147

Merged error: 0.0b

Counts
147 → 8

regimes68.0ms

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
0158
1158

end0.0ms

sample1.8s

Algorithm
intervals
Results
684.0ms1518×body1280valid
366.0ms1276×body640valid
272.0ms4262×body80valid
143.0ms8000×pre80true
126.0ms628×body320valid
44.0ms316×body160valid

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