Details

Time bar (total: 2.8s)

sample349.0ms

Algorithm
intervals
Results
15.0ms400×body80nan
11.0ms235×body80valid
7.0ms187×body80overflowed
2.0ms24×body160valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 4.9b

Counts
2 → 1

localize33.0ms

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))
5.2b
(- (exp (* 2.0 x)) 1.0)
5.3b
(- (exp x) 1.0)

rewrite36.0ms

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)
8.0ms
(- (exp x) 1.0)

series199.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
61.0ms
(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
25.0ms
(- (exp (* 2.0 x)) 1.0)
24.0ms
(- (exp x) 1.0)

simplify123.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
03871380
110541314
242651301
350011293

prune295.0ms

Filtered
135 candidates to 92 candidates (68.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1296135
Fresh000
Picked101
Done000
Total1306136

Merged error: 0.0b

Counts
136 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp (* 2.0 x)))
0.0b
(sqrt (exp (* 2.0 x)))
5.3b
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
5.3b
(- (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)

series109.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(sqrt (exp (* 2.0 x)))
22.0ms
(sqrt (exp (* 2.0 x)))
48.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
14.0ms
(- (exp x) 1.0)

simplify105.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0168382
1414365
21068363
33163361
45002361

prune176.0ms

Filtered
74 candidates to 49 candidates (66.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh145
Picked011
Done000
Total74680

Merged error: 0.0b

Counts
80 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (- (exp x) 1.0) 3)
0.1b
(cbrt (pow (- (exp x) 1.0) 3))
5.3b
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
5.3b
(- (exp x) 1.0)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×*-un-lft-identity
16×cbrt-prod
10×add-cube-cbrt unpow-prod-down cube-prod
9×difference-of-squares
8×add-log-exp
7×distribute-lft-out--
6×sqrt-prod
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-- flip--
3×pow-unpow
2×cube-mult sub-neg cbrt-div diff-log unpow3 sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 88
Calls
4 calls:
5.0ms
(pow (- (exp x) 1.0) 3)
6.0ms
(cbrt (pow (- (exp x) 1.0) 3))
6.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.0ms
(- (exp x) 1.0)

series114.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(pow (- (exp x) 1.0) 3)
17.0ms
(cbrt (pow (- (exp x) 1.0) 3))
45.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
14.0ms
(- (exp x) 1.0)

simplify40.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0296560
11075533
25001524

prune227.0ms

Filtered
100 candidates to 55 candidates (55.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh044
Picked011
Done011
Total1006106

Merged error: 0.0b

Counts
106 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
0.1b
(pow (exp x) 3)
5.1b
(- (pow (exp x) 3) (pow 1.0 3))
5.2b
(- (exp (* 2.0 x)) 1.0)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
160×add-sqr-sqrt
90×*-un-lft-identity
81×difference-of-squares
75×times-frac
63×unpow-prod-down cube-prod
41×sqr-pow
38×add-cube-cbrt
26×distribute-lft-out--
25×associate-/l*
8×add-log-exp
7×add-cbrt-cube
6×add-exp-log
5×pow1 difference-cubes
4×pow-pow
3×pow-unpow exp-prod flip3-- associate-/r* flip--
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv cube-mult pow-to-exp frac-2neg flip3-+ unpow3 div-sub div-exp pow-exp clear-num flip-+ div-inv rem-cube-cbrt
Counts
4 → 194
Calls
4 calls:
25.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
4.0ms
(pow (exp x) 3)
12.0ms
(- (pow (exp x) 3) (pow 1.0 3))
4.0ms
(- (exp (* 2.0 x)) 1.0)

series179.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
23.0ms
(pow (exp x) 3)
36.0ms
(- (pow (exp x) 3) (pow 1.0 3))
28.0ms
(- (exp (* 2.0 x)) 1.0)

simplify95.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06202981
125962915
250022913

prune506.0ms

Filtered
206 candidates to 122 candidates (59.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2060206
Fresh033
Picked011
Done022
Total2066212

Merged error: 0.0b

Counts
212 → 6

regimes33.0ms

bsearch4.0ms

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