Details

Time bar (total: 2.7s)

analyze15.0ms

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

sample67.0ms

Algorithm
intervals
Results
40.0ms122×body1280valid
13.0ms63×body640valid
5.0ms36×body320valid
2.0ms22×body160valid
1.0ms13×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
0483513
1483513

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.6b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (neg x)))
0.5b
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.8b
(- (exp x) (exp (neg x)))

rewrite23.0ms

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)))
11.0ms
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.0ms
(- (exp x) (exp (neg x)))

series23.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (exp x) (exp (neg x)))
13.0ms
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
6.0ms
(- (exp x) (exp (neg x)))

simplify58.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
048631393
148631393

prune87.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New92395
Fresh000
Picked101
Done000
Total93396

Merged error: 0b

Counts
96 → 3

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)

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(tanh x)

simplify33.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
0601579

prune20.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh022
Picked011
Done000
Total13316

Merged error: 0b

Counts
16 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ (sinh x) (cosh x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv sinh-def cosh-def frac-2neg div-exp clear-num associate-/r/ div-inv associate-/l/ add-log-exp
Counts
1 → 29
Calls
1 calls:
3.0ms
(/ (sinh x) (cosh x))

series21.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ (sinh x) (cosh x))

simplify66.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04899273
14899273

prune29.0ms

Filtered
25 candidates to 32 candidates (-28.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New32032
Fresh011
Picked011
Done011
Total32335

Merged error: 0b

Counts
35 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ (* (pow x 5) 2/15) (* (pow x 3) -1/3)))
0.0b
(+ (* (pow x 5) 2/15) (* (pow x 3) -1/3))
0.0b
(* (pow x 5) 2/15)
0.1b
(* (pow x 3) -1/3)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*l*
14×add-exp-log
13×*-un-lft-identity
11×add-cube-cbrt add-log-exp
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×associate-*r* prod-exp
4×pow1 cube-prod sum-log sqr-pow
2×+-commutative pow-to-exp flip3-+ pow-exp *-commutative cbrt-unprod flip-+
1×cube-mult associate-+r+ unpow3 distribute-lft-out
Counts
4 → 81
Calls
4 calls:
6.0ms
(+ x (+ (* (pow x 5) 2/15) (* (pow x 3) -1/3)))
5.0ms
(+ (* (pow x 5) 2/15) (* (pow x 3) -1/3))
5.0ms
(* (pow x 5) 2/15)
6.0ms
(* (pow x 3) -1/3)

series27.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ x (+ (* (pow x 5) 2/15) (* (pow x 3) -1/3)))
12.0ms
(+ (* (pow x 5) 2/15) (* (pow x 3) -1/3))
6.0ms
(* (pow x 5) 2/15)
4.0ms
(* (pow x 3) -1/3)

simplify37.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05444892

prune137.0ms

Filtered
65 candidates to 93 candidates (-43.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done022
Total93396

Merged error: 0b

Counts
96 → 3

regimes28.0ms

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

sample1.9s

Algorithm
intervals
Results
1.1s3349×body1280valid
494.0ms2403×body640valid
158.0ms1209×body320valid
51.0ms610×body160valid
18.0ms429×body80valid
0.0ms1×body80overflowed

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