Details

Time bar (total: 3.4s)

sample244.0ms

Algorithm
intervals
Results
189.0ms256×body80overflowed
20.0ms485×body80nan
9.0ms229×body80valid
3.0ms30×body160valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1287
2407
3737
41767
55597
626267
750017

prune5.0ms

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: 5.5b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.0b
(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
6.2b
(- (exp (* 2.0 x)) 1.0)
6.3b
(- (exp x) 1.0)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
75×*-un-lft-identity
51×times-frac
31×sqrt-prod
27×add-cube-cbrt
24×distribute-lft-out-- difference-of-squares
8×add-log-exp
6×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-/r* flip-- associate-/l*
4×associate-/r/
2×sub-neg rem-sqrt-square diff-log div-inv associate-/l/
1×cbrt-undiv frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num
Counts
4 → 123
Calls
4 calls:
9.0ms
(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
9.0ms
(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.0ms
(- (exp (* 2.0 x)) 1.0)
6.0ms
(- (exp x) 1.0)

series34.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
8.0ms
(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
3.0ms
(- (exp (* 2.0 x)) 1.0)
11.0ms
(- (exp x) 1.0)

simplify129.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
03871380
110541314
242651301
350011293

prune253.0ms

Filtered
135 candidates to 92 candidates (31.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1296135
Fresh000
Picked101
Done000
Total1306136

Merged error: 0b

Counts
136 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (exp (* 2.0 x)))
0.2b
(sqrt (exp (* 2.0 x)))
6.3b
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.3b
(- (exp x) 1.0)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
12×*-un-lft-identity sqrt-prod
10×add-log-exp
6×pow1 add-cube-cbrt sqrt-pow1
5×difference-of-squares
4×add-exp-log add-cbrt-cube
3×distribute-lft-out--
2×sub-neg rem-sqrt-square exp-prod flip3-- exp-to-pow pow1/2 diff-log flip--
Counts
4 → 62
Calls
4 calls:
2.0ms
(sqrt (exp (* 2.0 x)))
4.0ms
(sqrt (exp (* 2.0 x)))
6.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.0ms
(- (exp x) 1.0)

series13.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (exp (* 2.0 x)))
3.0ms
(sqrt (exp (* 2.0 x)))
5.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
2.0ms
(- (exp x) 1.0)

simplify102.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
0168382
1414365
21068363
33163361
45002361

prune176.0ms

Filtered
74 candidates to 49 candidates (33.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh145
Picked011
Done000
Total74680

Merged error: 0b

Counts
80 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

6.3b
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.3b
(- (exp x) 1.0)
6.3b
(- (exp x) 1.0)
6.3b
(- (exp x) 1.0)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-log-exp
7×difference-of-squares
6×sqrt-prod
5×distribute-lft-out--
4×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip--
Counts
4 → 60
Calls
4 calls:
6.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.0ms
(- (exp x) 1.0)
4.0ms
(- (exp x) 1.0)
4.0ms
(- (exp x) 1.0)

series11.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
2.0ms
(- (exp x) 1.0)
2.0ms
(- (exp x) 1.0)
2.0ms
(- (exp x) 1.0)

simplify92.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0156394
1399367
21035363
32831363
45002363

prune209.0ms

Filtered
72 candidates to 49 candidates (31.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh044
Picked011
Done011
Total72678

Merged error: 0b

Counts
78 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

6.3b
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.3b
(- (exp x) 1.0)
6.3b
(- (exp x) 1.0)
6.3b
(- (exp x) 1.0)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-log-exp
7×difference-of-squares
6×sqrt-prod
5×distribute-lft-out--
4×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip--
Counts
4 → 60
Calls
4 calls:
6.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.0ms
(- (exp x) 1.0)
4.0ms
(- (exp x) 1.0)
4.0ms
(- (exp x) 1.0)

series11.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
2.0ms
(- (exp x) 1.0)
2.0ms
(- (exp x) 1.0)
3.0ms
(- (exp x) 1.0)

simplify92.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0156394
1399367
21035363
32831363
45002363

prune197.0ms

Filtered
72 candidates to 49 candidates (31.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh033
Picked011
Done022
Total72678

Merged error: 0b

Counts
78 → 6

regimes51.0ms

Accuracy

82.4% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 3.6b

bsearch15.0ms

Steps
ItersRangePoint
7
-1.1374190914131416e-05
-3.7125383452421273e-07
-1.1227155598250141e-05

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03020
13020

end0.0ms

sample1.5s

Algorithm
intervals
Results
473.0ms12332×body80nan
308.0ms7392×body80valid
250.0ms6527×body80overflowed
71.0ms725×body160valid

Profiling

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