Details

Time bar (total: 4.2s)

sample312.0ms

Algorithm
intervals
Results
18.0ms398×body80nan
10.0ms228×body80valid
8.0ms215×body80overflowed
3.0ms32×body160valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1287
2407
3737
41767
55597
626267
750017

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.7b

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))
6.3b
(- (exp (* 2.0 x)) 1.0)
6.5b
(- (exp x) 1.0)

rewrite50.0ms

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)))
24.0ms
(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.0ms
(- (exp (* 2.0 x)) 1.0)
7.0ms
(- (exp x) 1.0)

series200.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
63.0ms
(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
24.0ms
(- (exp (* 2.0 x)) 1.0)
23.0ms
(- (exp x) 1.0)

simplify124.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
03871380
110541314
242651301
350011293

prune314.0ms

Filtered
135 candidates to 92 candidates (68.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1305135
Fresh000
Picked101
Done000
Total1315136

Merged error: 0.0b

Counts
136 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(sqrt (exp (* 2.0 x)))
0.3b
(sqrt (exp (* 2.0 x)))
6.5b
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.5b
(- (exp x) 1.0)

rewrite16.0ms

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)))
2.0ms
(sqrt (exp (* 2.0 x)))
6.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.0ms
(- (exp x) 1.0)

series110.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(sqrt (exp (* 2.0 x)))
22.0ms
(sqrt (exp (* 2.0 x)))
51.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
14.0ms
(- (exp x) 1.0)

simplify112.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0168382
1414365
21068363
33163361
45002361

prune192.0ms

Filtered
74 candidates to 49 candidates (66.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New71374
Fresh224
Picked011
Done000
Total73679

Merged error: 0.0b

Counts
79 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (exp (* 2.0 x)))
0.3b
(cbrt (exp (* 2.0 x)))
6.5b
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.5b
(- (exp x) 1.0)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×*-un-lft-identity
8×add-log-exp
6×cbrt-prod add-cube-cbrt sqrt-prod
5×difference-of-squares
4×pow1 add-exp-log add-cbrt-cube
3×distribute-lft-out--
2×sub-neg flip3-- pow1/3 diff-log flip--
Counts
4 → 54
Calls
4 calls:
2.0ms
(cbrt (exp (* 2.0 x)))
2.0ms
(cbrt (exp (* 2.0 x)))
6.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
8.0ms
(- (exp x) 1.0)

series280.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (exp (* 2.0 x)))
112.0ms
(cbrt (exp (* 2.0 x)))
46.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
15.0ms
(- (exp x) 1.0)

simplify102.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 4 (96.0ms)

IterNodesCost
0183396
1445365
21120359
33019359
45002357

prune229.0ms

Filtered
66 candidates to 47 candidates (71.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh044
Picked011
Done011
Total66672

Merged error: 0.0b

Counts
72 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(sqrt (exp (* 2.0 x)))
0.3b
(sqrt (exp (* 2.0 x)))
6.5b
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.5b
(- (exp x) 1.0)

rewrite20.0ms

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:
5.0ms
(sqrt (exp (* 2.0 x)))
2.0ms
(sqrt (exp (* 2.0 x)))
7.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.0ms
(- (exp x) 1.0)

series110.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(sqrt (exp (* 2.0 x)))
27.0ms
(sqrt (exp (* 2.0 x)))
46.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
15.0ms
(- (exp x) 1.0)

simplify104.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0168382
1414365
21068363
33163361
45002361

prune212.0ms

Filtered
74 candidates to 49 candidates (66.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done022
Total74680

Merged error: 0.0b

Counts
80 → 6

regimes35.0ms

Accuracy

77.1% (0.7b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 3.4b

bsearch42.0ms

Steps
ItersRangePoint
7
-9.926686819785067e-05
-1.6277076070161703e-06
-1.1832918579959609e-05

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03020
13020

end0.0ms

sample1.4s

Algorithm
intervals
Results
493.0ms12450×body80nan
318.0ms7419×body80valid
267.0ms6701×body80overflowed
69.0ms711×body160valid

Profiling

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