Details

Time bar (total: 3.0s)

analyze221.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%1.6%48.5%9
50.4%1.2%48.5%10
50.4%1.2%48.5%11
50.4%1.1%48.6%12
50.4%1%48.6%13
50.5%0.9%48.6%14

sample63.0ms

Algorithm
intervals
Results
32.0ms99×body1280valid
17.0ms83×body640valid
5.0ms35×body320valid
2.0ms21×body160valid
1.0ms18×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
0483513
1483513

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.3b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (neg x)))
1.8b
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.8b
(- (exp x) (exp (neg x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
30×add-sqr-sqrt times-frac
16×add-cube-cbrt
8×cosh-undef distribute-lft-out
7×sinh-undef distribute-lft-out-- add-log-exp difference-of-squares
6×associate-/l*
5×add-exp-log associate-/r* add-cbrt-cube
3×pow1
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub tanh-undef div-exp clear-num sum-log div-inv
Counts
3 → 86
Calls
3 calls:
4.0ms
(+ (exp x) (exp (neg x)))
10.0ms
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.0ms
(- (exp x) (exp (neg x)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (exp x) (exp (neg x)))
17.0ms
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.0ms
(- (exp x) (exp (neg x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
048631393
148631393

prune81.0ms

Filtered
68 candidates to 95 candidates (-39.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New93295
Fresh000
Picked101
Done000
Total94296

Merged error: 0.0b

Counts
96 → 2

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b
(tanh x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity tanh-def-c add-cbrt-cube tanh-def-b add-log-exp tanh-def-a
Counts
1 → 10
Calls
1 calls:
1.0ms
(tanh x)

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(tanh x)

simplify32.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
0601579

prune19.0ms

Filtered
11 candidates to 13 candidates (-18.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done000
Total13215

Merged error: 0.0b

Counts
15 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (neg x)))
0.0b
(sinh x)
1.8b
(/ (* 2 (sinh x)) (+ (exp x) (exp (neg x))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt times-frac associate-/r* add-log-exp
3×pow1 cosh-undef distribute-lft-out
2×cbrt-undiv sinh-def flip3-+ div-exp associate-/r/ flip-+
1×+-commutative frac-2neg associate-*r/ prod-exp clear-num sum-log cbrt-unprod div-inv associate-/l/ associate-/l*
Counts
3 → 49
Calls
3 calls:
4.0ms
(+ (exp x) (exp (neg x)))
1.0ms
(sinh x)
8.0ms
(/ (* 2 (sinh x)) (+ (exp x) (exp (neg x))))

series29.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (exp x) (exp (neg x)))
7.0ms
(sinh x)
18.0ms
(/ (* 2 (sinh x)) (+ (exp x) (exp (neg x))))

simplify42.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04915454
14915454

prune54.0ms

Filtered
44 candidates to 58 candidates (-31.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New57158
Fresh000
Picked101
Done011
Total58260

Merged error: 0b

Counts
60 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ -1 (exp x)) (exp x))
0.0b
(sinh x)
0.0b
(/ -1 (exp x))
1.8b
(/ (* (sinh x) -2) (- (/ -1 (exp x)) (exp x)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
20×*-un-lft-identity
18×times-frac
14×add-cube-cbrt
11×add-cbrt-cube
10×add-exp-log
9×associate-/r*
6×add-log-exp difference-of-squares
4×pow1 associate-/l*
3×cbrt-undiv div-exp distribute-lft-out--
2×sinh-def flip3-- frac-2neg clear-num associate-/r/ flip-- div-inv
1×sub-neg diff-log associate-*l/ prod-exp cbrt-unprod associate-/l/
Counts
4 → 79
Calls
4 calls:
7.0ms
(- (/ -1 (exp x)) (exp x))
1.0ms
(sinh x)
4.0ms
(/ -1 (exp x))
13.0ms
(/ (* (sinh x) -2) (- (/ -1 (exp x)) (exp x)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (/ -1 (exp x)) (exp x))
7.0ms
(sinh x)
4.0ms
(/ -1 (exp x))
21.0ms
(/ (* (sinh x) -2) (- (/ -1 (exp x)) (exp x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04875902
14875902

prune93.0ms

Filtered
71 candidates to 91 candidates (-28.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh000
Picked011
Done011
Total91293

Merged error: 0b

Counts
93 → 2

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
122

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s3315×body1280valid
503.0ms2417×body640valid
160.0ms1225×body320valid
54.0ms611×body160valid
19.0ms432×body80valid
0.0ms1×body80overflowed

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