Details

Time bar (total: 1.9s)

sample39.0ms

Algorithm
intervals
Results
16.0ms84×body1280valid
9.0ms51×body640valid
2.0ms24×body320valid
2.0ms92×body80overflowed
2.0ms82×body80valid
1.0ms15×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
184
284

prune2.0ms

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: 43.3b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (exp x) (- (exp x) 1.0))
3.8b
(- (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
5×associate-/r* distribute-lft-out-- difference-of-squares
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
6.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series8.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (exp x) (- (exp x) 1.0))
2.0ms
(- (exp x) 1.0)

simplify67.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune75.0ms

Filtered
57 candidates to 41 candidates (28.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New54357
Fresh000
Picked101
Done000
Total55358

Merged error: 0.0b

Counts
58 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b
(* 1/12 x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 18
Calls
1 calls:
3.0ms
(* 1/12 x)

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(* 1/12 x)

simplify60.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
05945
121842
251542
379542
4194342
5500242

prune23.0ms

Filtered
21 candidates to 13 candidates (38.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New21021
Fresh022
Picked011
Done000
Total21324

Merged error: 0.0b

Counts
24 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b
(/ 1.0 (exp x))
3.8b
(- 1 (/ 1.0 (exp x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
44×*-un-lft-identity
43×times-frac
24×add-cube-cbrt
20×difference-of-squares
11×associate-/r*
8×add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×distribute-lft-out-- add-log-exp
4×pow1
3×div-exp
2×cbrt-undiv flip3-- frac-2neg clear-num associate-/r/ flip-- div-inv
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
3 → 97
Calls
3 calls:
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms
(/ 1.0 (exp x))
7.0ms
(- 1 (/ 1.0 (exp x)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms
(/ 1.0 (exp x))
6.0ms
(- 1 (/ 1.0 (exp x)))

simplify36.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0310722
11324620
25001618

prune83.0ms

Filtered
106 candidates to 60 candidates (43.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh011
Picked011
Done011
Total1063109

Merged error: 0.0b

Counts
109 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp x))
0.3b
(/ (sqrt (exp x)) (+ (sqrt (exp x)) (sqrt 1.0)))
0.3b
(/ (sqrt (exp x)) (- (sqrt (exp x)) (sqrt 1.0)))
3.8b
(- (sqrt (exp x)) (sqrt 1.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
117×add-sqr-sqrt
113×sqrt-prod
112×*-un-lft-identity
84×times-frac
52×add-cube-cbrt
32×difference-of-squares
16×distribute-lft-out--
14×associate-/r* distribute-lft-out
12×associate-/l*
8×add-exp-log add-cbrt-cube
6×add-log-exp
5×pow1
4×sqrt-pow1 associate-/r/
3×exp-prod
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×sub-neg rem-sqrt-square flip3-+ pow1/2 diff-log flip-+
Counts
4 → 172
Calls
4 calls:
2.0ms
(sqrt (exp x))
10.0ms
(/ (sqrt (exp x)) (+ (sqrt (exp x)) (sqrt 1.0)))
11.0ms
(/ (sqrt (exp x)) (- (sqrt (exp x)) (sqrt 1.0)))
8.0ms
(- (sqrt (exp x)) (sqrt 1.0))

series33.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (exp x))
13.0ms
(/ (sqrt (exp x)) (+ (sqrt (exp x)) (sqrt 1.0)))
13.0ms
(/ (sqrt (exp x)) (- (sqrt (exp x)) (sqrt 1.0)))
5.0ms
(- (sqrt (exp x)) (sqrt 1.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04112166
114452072
250022025

prune185.0ms

Filtered
184 candidates to 92 candidates (50.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1822184
Fresh000
Picked101
Done022
Total1834187

Merged error: 0.0b

Counts
187 → 4

regimes98.0ms

Accuracy

97.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 21.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03022
13022

end0.0ms

sample976.0ms

Algorithm
intervals
Results
416.0ms2254×body1280valid
195.0ms1684×body640valid
61.0ms802×body320valid
59.0ms2847×body80valid
49.0ms2551×body80overflowed
20.0ms415×body160valid

Profiling

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