Details

Time bar (total: 4.0s)

sample254.0ms

Algorithm
intervals
Results
22.0ms48×body1280valid
13.0ms40×body640valid
9.0ms142×body80valid
5.0ms256×pre80true
3.0ms17×body320valid
1.0ms9×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0146
1186
2216
3226
4226

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

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 (sin v))
0.1b
(* e (cos 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:
6.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms
(* e (sin v))
6.0ms
(* e (cos v))

series44.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms
(* e (sin v))
15.0ms
(* e (cos v))

simplify41.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune105.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New60868
Fresh000
Picked101
Done000
Total61869

Merged error: 0.0b

Counts
69 → 8

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))
0.1b
(* e (cos v))
6.8b
(log (exp (* e (cos v))))

rewrite22.0ms

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:
10.0ms
(/ (* 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))))

series39.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* e (sin v)) (+ 1.0 (log (exp (* e (cos v))))))
7.0ms
(* e (sin v))
6.0ms
(* e (cos v))
7.0ms
(log (exp (* e (cos v))))

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0312543
11394463
25001447

prune103.0ms

Filtered
61 candidates to 89 candidates (-45.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New88189
Fresh077
Picked011
Done000
Total88997

Merged error: 0.0b

Counts
97 → 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)))

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))
5.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(* e (cos v))
15.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
19.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify64.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05181298
123271224
250021224

prune149.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1251126
Fresh257
Picked011
Done011
Total1278135

Merged error: 0.0b

Counts
135 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b
(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
0.3b
(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
1566×times-frac
742×add-sqr-sqrt
740×add-cube-cbrt *-un-lft-identity
564×sqrt-prod
91×associate-/r*
59×div-inv
22×add-exp-log add-cbrt-cube associate-/l*
10×cbrt-undiv div-exp
6×pow1
4×add-log-exp
3×frac-2neg associate-*r* associate-*l* clear-num associate-/l/
1×flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 756
Calls
4 calls:
4.0ms
(* e (cos v))
5.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
26.0ms
(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
9.0ms
(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

series83.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* e (cos v))
15.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
29.0ms
(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
33.0ms
(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

simplify168.0ms

Algorithm
egg-herbie
Counts
768 → 768
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0232714946
1500114415

prune652.0ms

Filtered
386 candidates to 768 candidates (-99.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New7662768
Fresh235
Picked101
Done022
Total7697776

Merged error: 0b

Counts
776 → 7

regimes106.0ms

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
0148
1148

end0.0ms

sample1.9s

Algorithm
intervals
Results
697.0ms1549×body1280valid
362.0ms1243×body640valid
266.0ms4352×body80valid
130.0ms8000×pre80true
114.0ms584×body320valid
39.0ms272×body160valid

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