Details

Time bar (total: 2.3s)

analyze341.0ms (14.6%)

Algorithm
1×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

sample29.0ms (1.2%)

Algorithm
1×intervals
Results
11.0ms66×body1280valid
6.0ms51×body640valid
3.0ms35×body320valid
2.0ms93×body80valid
1.0ms11×body160valid

simplify89.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
049997
149997

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 41.1b

Counts
2 → 1

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b
(/ (exp x) (- (exp x) 1.0))
3.6b
(- (exp x) 1.0)

rewrite12.0ms (0.5%)

Algorithm
1×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 → 50
Calls

2 calls:

6.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series9.0ms (0.4%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(/ (exp x) (- (exp x) 1.0))
2.0ms
(- (exp x) 1.0)

simplify64.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05019574

prune94.0ms (4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New53356
Fresh000
Picked101
Done000
Total54357

Merged error: 0.0b

Counts
57 → 3

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1/12) (/ 1 x))
0.4b
(* x 1/12)

rewrite10.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 29
Calls

2 calls:

6.0ms
(+ (* x 1/12) (/ 1 x))
3.0ms
(* x 1/12)

series7.0ms (0.3%)

Counts
2 → 6
Calls

2 calls:

5.0ms
(+ (* x 1/12) (/ 1 x))
2.0ms
(* x 1/12)

simplify70.0ms (3%)

Algorithm
1×egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04843225
14843225

prune52.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New35035
Fresh022
Picked011
Done000
Total35338

Merged error: 0.0b

Counts
38 → 3

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b
(/ 1.0 (exp x))
3.6b
(- 1 (/ 1.0 (exp x)))

rewrite23.0ms (1%)

Algorithm
1×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 → 96
Calls

3 calls:

9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
7.0ms
(- 1 (/ 1.0 (exp x)))
4.0ms
(/ 1.0 (exp x))

series23.0ms (1%)

Counts
3 → 9
Calls

3 calls:

10.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
8.0ms
(- 1 (/ 1.0 (exp x)))
4.0ms
(/ 1.0 (exp x))

simplify72.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
048711130
148711130

prune144.0ms (6.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done011
Total1053108

Merged error: 0.0b

Counts
108 → 3

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(/ (exp x) (- (exp x) 1.0))
3.6b
(- (exp x) 1.0)
3.6b
(- (exp x) 1.0)
3.6b
(- (exp x) 1.0)

rewrite23.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
15×times-frac
14×add-cube-cbrt
10×add-log-exp
7×distribute-lft-out-- difference-of-squares
6×add-cbrt-cube
5×add-exp-log associate-/r*
4×pow1 flip3-- flip--
3×sub-neg diff-log associate-/l*
2×associate-/r/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 76
Calls

4 calls:

7.0ms
(/ (exp x) (- (exp x) 1.0))
6.0ms
(- (exp x) 1.0)
4.0ms
(- (exp x) 1.0)
4.0ms
(- (exp x) 1.0)

series13.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

6.0ms
(/ (exp x) (- (exp x) 1.0))
2.0ms
(- (exp x) 1.0)
2.0ms
(- (exp x) 1.0)
2.0ms
(- (exp x) 1.0)

simplify66.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05019804

prune180.0ms (7.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh000
Picked011
Done022
Total88391

Merged error: 0.0b

Counts
91 → 3

regimes112.0ms (4.8%)

Accuracy

Total 0.5b remaining (96.4%)

Threshold costs 0.5b (96.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03240
13240

end0.0ms (0%)

sample874.0ms (37.4%)

Algorithm
1×intervals
Results
412.0ms2310×body1280valid
187.0ms1637×body640valid
67.0ms2783×body80valid
65.0ms865×body320valid
21.0ms405×body160valid
0.0ms1×body1280invalid

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