Details

Time bar (total: 6.7s)

sample1.9s

Algorithm
intervals
sampling

Space saved by range analysis: 24.789549%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
27.0ms71×body1280valid
12.0ms51×body640valid
5.0ms99×body80valid
4.0ms24×body320valid
1.0ms11×body160valid

simplify440.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1287
2407
3737
41767
55597
626267
750017

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 39.0b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
3.4b
(- (exp (* 2.0 x)) 1.0)
3.4b
(- (exp x) 1.0)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt *-un-lft-identity
25×times-frac
15×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
7×add-log-exp
5×add-exp-log associate-/r* add-cbrt-cube associate-/l*
4×flip3-- flip--
3×pow1
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 80
Calls
3 calls:
8.0ms
(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.0ms
(- (exp (* 2.0 x)) 1.0)
6.0ms
(- (exp x) 1.0)

series21.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
3.0ms
(- (exp (* 2.0 x)) 1.0)
10.0ms
(- (exp x) 1.0)

simplify112.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0304772
1855733
23569730
35002730

prune166.0ms

Filtered
61 candidates to 89 candidates (-45.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New87289
Fresh000
Picked101
Done000
Total88290

Merged error: 0.0b

Counts
90 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 0.5 (pow x 2))
0.0b
(+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))
11.0b
(sqrt (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
8×add-exp-log associate-*r* add-log-exp
7×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×pow1 unpow-prod-down unswap-sqr
3×associate-*l* prod-exp sum-log sqrt-prod
2×flip3-+ sqrt-div flip-+ unpow2 sqr-pow
1×+-commutative pow-to-exp rem-sqrt-square associate-+r+ sqrt-pow1 pow1/2 pow-exp *-commutative cbrt-unprod
Counts
3 → 55
Calls
3 calls:
5.0ms
(* 0.5 (pow x 2))
7.0ms
(+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))
8.0ms
(sqrt (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))

series12.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* 0.5 (pow x 2))
3.0ms
(+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))
6.0ms
(sqrt (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0293416
11183385
25001372

prune105.0ms

Filtered
44 candidates to 64 candidates (-45.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New63164
Fresh011
Picked101
Done000
Total64266

Merged error: 0.0b

Counts
66 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ 1.0 (* x 0.5)))
11.0b
(sqrt (+ (* x (+ 1.0 (* x 0.5))) 2.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
5×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log add-cbrt-cube
3×associate-*r* associate-*l* sqrt-prod
2×flip3-+ sqrt-div associate-*r/ flip-+ add-log-exp
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
5.0ms
(* x (+ 1.0 (* x 0.5)))
5.0ms
(sqrt (+ (* x (+ 1.0 (* x 0.5))) 2.0))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ 1.0 (* x 0.5)))
5.0ms
(sqrt (+ (* x (+ 1.0 (* x 0.5))) 2.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0279280
11133268
25002256

prune63.0ms

Filtered
31 candidates to 43 candidates (-38.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New43043
Fresh011
Picked011
Done000
Total43245

Merged error: 0.0b

Counts
45 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (exp (* 2.0 x)) 1.0) (log (exp (- (exp x) 1.0))))
3.4b
(- (exp (* 2.0 x)) 1.0)
3.4b
(- (exp x) 1.0)
3.4b
(log (exp (- (exp x) 1.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt *-un-lft-identity
45×times-frac
42×log-pow
35×exp-prod
28×add-cube-cbrt
19×distribute-lft-out-- difference-of-squares
11×pow1
9×associate-/r*
8×add-log-exp
6×add-exp-log add-cbrt-cube
5×log-prod associate-/l*
3×sub-neg flip3-- flip--
2×diff-log exp-sum associate-/l/
1×cbrt-undiv log-div frac-2neg exp-diff div-sub div-exp rem-log-exp clear-num div-inv
Counts
4 → 122
Calls
4 calls:
10.0ms
(/ (- (exp (* 2.0 x)) 1.0) (log (exp (- (exp x) 1.0))))
4.0ms
(- (exp (* 2.0 x)) 1.0)
4.0ms
(- (exp x) 1.0)
5.0ms
(log (exp (- (exp x) 1.0)))

series14.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ (- (exp (* 2.0 x)) 1.0) (log (exp (- (exp x) 1.0))))
2.0ms
(- (exp (* 2.0 x)) 1.0)
2.0ms
(- (exp x) 1.0)
2.0ms
(log (exp (- (exp x) 1.0)))

simplify110.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
03801252
110511148
241271107
350011105

prune216.0ms

Filtered
87 candidates to 134 candidates (-54.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1331134
Fresh000
Picked101
Done011
Total1342136

Merged error: 0.0b

Counts
136 → 2

regimes37.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 20.8b

bsearch25.0ms

Steps
ItersRangePoint
8
-0.009522260443286974
-2.942851087399075e-07
-9.972238917451404e-05

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04021
14021

end0.0ms

sample3.3s

Algorithm
intervals
sampling

Space saved by range analysis: 24.789549%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
852.0ms2263×body1280valid
407.0ms1715×body640valid
129.0ms2805×body80valid
129.0ms820×body320valid
41.0ms397×body160valid

Profiling

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