Details

Time bar (total: 3.3s)

sample76.0ms

Algorithm
intervals
Results
36.0ms115×body1280valid
15.0ms79×body640valid
7.0ms250×body80valid
4.0ms34×body320valid
2.0ms22×body160valid

simplify137.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61035
72435
815635
950015

prune3.0ms

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: 58.3b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

5.5b
(- (exp x) (exp (neg x)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
5.0ms
(- (exp x) (exp (neg x)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- (exp x) (exp (neg x)))

simplify30.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
0100120
1257106
2785105
35001103

prune40.0ms

Filtered
17 candidates to 14 candidates (17.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New15217
Fresh000
Picked101
Done000
Total16218

Merged error: 0.0b

Counts
18 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.1b
(* 1/60 (pow x 5))
0.1b
(* 1/3 (pow x 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
13×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down add-log-exp
7×add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
4×cube-prod sqr-pow
3×pow1 sum-log
2×pow-to-exp pow-exp *-commutative cbrt-unprod
1×+-commutative cube-mult associate-+r+ flip3-+ unpow3 flip-+
Counts
3 → 69
Calls
3 calls:
8.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms
(* 1/60 (pow x 5))
6.0ms
(* 1/3 (pow x 3))

series16.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
4.0ms
(* 1/60 (pow x 5))
4.0ms
(* 1/3 (pow x 3))

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0300375
11301346
25001346

prune121.0ms

Filtered
78 candidates to 49 candidates (37.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New76278
Fresh011
Picked101
Done000
Total77380

Merged error: 0.0b

Counts
80 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
0.1b
(* 1/60 (pow x 5))
0.1b
(* 1/3 (pow x 3))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
13×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down
7×add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
5×add-log-exp
4×cube-prod sqr-pow
3×pow1
2×pow-to-exp pow-exp *-commutative cbrt-unprod
1×+-commutative cube-mult flip3-+ unpow3 sum-log flip-+
Counts
3 → 67
Calls
3 calls:
4.0ms
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
5.0ms
(* 1/60 (pow x 5))
6.0ms
(* 1/3 (pow x 3))

series19.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
4.0ms
(* 1/60 (pow x 5))
4.0ms
(* 1/3 (pow x 3))

simplify42.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0268317
11130291
25001290

prune112.0ms

Filtered
76 candidates to 48 candidates (36.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done000
Total76379

Merged error: 0.0b

Counts
79 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (exp (* 1/3 (pow x 3)))) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.1b
(* 1/60 (pow x 5))
0.1b
(* 1/3 (pow x 3))
2.3b
(log (exp (* 1/3 (pow x 3))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
19×associate-*r*
16×*-un-lft-identity
14×add-exp-log
13×add-cube-cbrt
8×unpow-prod-down add-cbrt-cube add-log-exp
7×unswap-sqr
6×pow1 log-prod associate-*l* prod-exp
4×cube-prod log-pow sqr-pow
3×associate-+l+ sum-log
2×pow-to-exp pow-exp *-commutative cbrt-unprod distribute-lft-out
1×+-commutative cube-mult associate-+r+ exp-prod exp-to-pow flip3-+ unpow3 rem-log-exp flip-+
Counts
4 → 88
Calls
4 calls:
7.0ms
(+ (log (exp (* 1/3 (pow x 3)))) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms
(* 1/60 (pow x 5))
6.0ms
(* 1/3 (pow x 3))
2.0ms
(log (exp (* 1/3 (pow x 3))))

series18.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (log (exp (* 1/3 (pow x 3)))) (+ (* 1/60 (pow x 5)) (* 2 x)))
4.0ms
(* 1/60 (pow x 5))
4.0ms
(* 1/3 (pow x 3))
4.0ms
(log (exp (* 1/3 (pow x 3))))

simplify47.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0328510
11345454
25001454

prune166.0ms

Filtered
100 candidates to 64 candidates (36.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh011
Picked011
Done011
Total1003103

Merged error: 0.0b

Counts
103 → 3

regimes28.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.0s3355×body1280valid
483.0ms2513×body640valid
233.0ms8144×body80valid
148.0ms1228×body320valid
47.0ms635×body160valid

Profiling

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