Details

Time bar (total: 2.1s)

analyze321.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.2%24.3%13
31.5%44.2%24.3%14

sample32.0ms

Algorithm
intervals
Results
15.0ms84×body1280valid
7.0ms55×body640valid
2.0ms83×body80valid
2.0ms21×body320valid
1.0ms13×body160valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
049997
149997

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 43.6b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (exp x) (- (exp x) 1.0))
3.9b
(- (exp x) 1.0)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/r* distribute-lft-out-- difference-of-squares
add-cbrt-cube add-log-exp
add-exp-log associate-/l*
pow1 flip3-- associate-/r/ flip--
cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 50
Calls
2 calls:
7.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series11.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (exp x) (- (exp x) 1.0))
2.0ms
(- (exp x) 1.0)

simplify63.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05019574

prune71.0ms

Filtered
41 candidates to 56 candidates (-36.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New53356
Fresh000
Picked101
Done000
Total54357

Merged error: 0.0b

Counts
57 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1/2 (* x 1/6))
0.0b
(* x (* x (+ 1/2 (* x 1/6))))
0.0b
(* x (+ 1/2 (* x 1/6)))
0.3b
(* x 1/6)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
add-cube-cbrt *-un-lft-identity associate-*l*
associate-*r*
associate-*r/ add-log-exp
distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
flip3-+ *-commutative flip-+
unswap-sqr
+-commutative sum-log
Counts
4 → 75
Calls
4 calls:
3.0ms
(+ 1/2 (* x 1/6))
6.0ms
(* x (* x (+ 1/2 (* x 1/6))))
5.0ms
(* x (+ 1/2 (* x 1/6)))
4.0ms
(* x 1/6)

series17.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1/2 (* x 1/6))
6.0ms
(* x (* x (+ 1/2 (* x 1/6))))
6.0ms
(* x (+ 1/2 (* x 1/6)))
2.0ms
(* x 1/6)

simplify63.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04905659
14905659

prune86.0ms

Filtered
57 candidates to 87 candidates (-52.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New87087
Fresh022
Picked011
Done000
Total87390

Merged error: 0.0b

Counts
90 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (exp x))
3.9b
(- 1 (/ 1.0 (exp x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×*-un-lft-identity
11×times-frac
10×add-cube-cbrt
add-cbrt-cube add-log-exp difference-of-squares
add-exp-log associate-/r* associate-/l*
pow1
cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- div-inv distribute-lft-out--
Counts
2 → 43
Calls
2 calls:
4.0ms
(/ 1.0 (exp x))
7.0ms
(- 1 (/ 1.0 (exp x)))

series10.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 1.0 (exp x))
6.0ms
(- 1 (/ 1.0 (exp x)))

simplify75.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04876413
14876413

prune50.0ms

Filtered
36 candidates to 49 candidates (-36.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New49049
Fresh011
Picked011
Done011
Total49352

Merged error: 0.0b

Counts
52 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- (exp x) 1.0))
0.5b
(/ (exp x) (log (exp (- (exp x) 1.0))))
3.9b
(- (exp x) 1.0)
3.9b
(log (exp (- (exp x) 1.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt *-un-lft-identity
30×exp-prod log-pow
27×times-frac
25×add-cube-cbrt
pow1 associate-/r* add-log-exp
distribute-lft-out-- difference-of-squares
add-cbrt-cube
add-exp-log
log-prod
sub-neg associate-/l*
exp-diff diff-log exp-sum rem-exp-log
cbrt-undiv log-div flip3-- frac-2neg div-exp rem-log-exp clear-num flip-- div-inv
Counts
4 → 99
Calls
4 calls:
5.0ms
(exp (- (exp x) 1.0))
7.0ms
(/ (exp x) (log (exp (- (exp x) 1.0))))
4.0ms
(- (exp x) 1.0)
7.0ms
(log (exp (- (exp x) 1.0)))

series18.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(exp (- (exp x) 1.0))
6.0ms
(/ (exp x) (log (exp (- (exp x) 1.0))))
2.0ms
(- (exp x) 1.0)
2.0ms
(log (exp (- (exp x) 1.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
057321012

prune112.0ms

Filtered
76 candidates to 111 candidates (-46.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh000
Picked011
Done022
Total1113114

Merged error: 0.0b

Counts
114 → 3

regimes77.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514

end0.0ms

sample852.0ms

Algorithm
intervals
Results
388.0ms2211×body1280valid
189.0ms1673×body640valid
68.0ms2875×body80valid
60.0ms805×body320valid
23.0ms436×body160valid
1.0msbody1280invalid
0.0msbody80overflowed

Profiling

Loading profile data...