Details

Time bar (total: 6.2s)

sample952.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75.012207%

Results
31.0ms68×body1280valid
14.0ms51×body640valid
6.0ms17×body2560valid
5.0ms29×body320valid
3.0ms79×body80valid
1.0ms12×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
095
195

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 53.3b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(+ x (sqrt (+ (* x x) 1.0)))
3.5b
(log (+ x (sqrt (+ (* x x) 1.0))))
17.1b
(sqrt (+ (* x x) 1.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
6×add-sqr-sqrt
5×pow1 add-cube-cbrt add-log-exp
4×add-exp-log log-prod
3×flip3-+ sqrt-prod add-cbrt-cube flip-+
2×log-div sqrt-div distribute-lft-out
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 rem-log-exp sum-log log-pow
Counts
3 → 42
Calls
3 calls:
5.0ms
(+ x (sqrt (+ (* x x) 1.0)))
6.0ms
(log (+ x (sqrt (+ (* x x) 1.0))))
4.0ms
(sqrt (+ (* x x) 1.0))

series17.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ x (sqrt (+ (* x x) 1.0)))
9.0ms
(log (+ x (sqrt (+ (* x x) 1.0))))
4.0ms
(sqrt (+ (* x x) 1.0))

simplify140.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0309393
11027364
24764348
35002347

prune112.0ms

Filtered
42 candidates to 51 candidates (-21.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New47451
Fresh000
Picked101
Done000
Total48452

Merged error: 0.0b

Counts
52 → 4

localize13.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
220×associate-*r*
181×add-sqr-sqrt
140×unpow-prod-down cube-prod
117×add-cube-cbrt *-un-lft-identity
80×sqrt-prod
40×sqr-pow
30×cube-mult unpow3
25×unswap-sqr
24×add-exp-log
10×prod-exp
9×div-exp
6×pow-to-exp pow-exp add-cbrt-cube
3×pow1 associate-*l*
2×cbrt-unprod
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 270
Calls
1 calls:
49.0ms
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

simplify91.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07251757
138321368
250011368

prune330.0ms

Filtered
95 candidates to 273 candidates (-187.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2730273
Fresh033
Picked011
Done000
Total2734277

Merged error: 0.0b

Counts
277 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))
0.2b
(/ 0.125 (pow x 3))
10.5b
(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
42×add-sqr-sqrt
40×times-frac
29×add-cube-cbrt
13×unpow-prod-down cube-prod
12×associate-/r*
9×add-exp-log
8×add-log-exp
6×log-prod
5×add-cbrt-cube distribute-lft-out difference-of-squares sqr-pow
4×pow1 cube-mult unpow3 distribute-lft-out--
3×div-exp associate-/l*
2×log-div flip3-+ diff-log frac-sub flip-+
1×cbrt-undiv pow-to-exp sub-neg flip3-- frac-2neg rem-log-exp pow-exp associate--l+ clear-num sum-log log-pow flip-- div-inv
Counts
3 → 105
Calls
3 calls:
19.0ms
(- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))
5.0ms
(/ 0.125 (pow x 3))
21.0ms
(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))
4.0ms
(/ 0.125 (pow x 3))
12.0ms
(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0469784
12135746
25003746

prune148.0ms

Filtered
67 candidates to 114 candidates (-70.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh022
Picked011
Done011
Total1144118

Merged error: 0.0b

Counts
118 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 0.125 (pow x 3))
0.3b
(/ (neg 0.0625) (pow x 5))
13.4b
(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5)))))
16.9b
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5))))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
110×*-un-lft-identity
102×add-sqr-sqrt
76×add-cube-cbrt
47×unpow-prod-down
26×distribute-rgt-neg-in
24×distribute-lft-neg-in
19×associate-/r*
17×sqr-pow
15×add-exp-log
14×cube-prod distribute-lft-out--
13×associate-/l*
12×log-prod
10×difference-of-squares
9×add-log-exp
8×neg-mul-1 frac-sub add-cbrt-cube
6×div-exp
5×pow1 log-div
4×cube-mult flip3-- unpow3 flip--
3×diff-log associate--r+
2×cbrt-undiv neg-sub0 pow-to-exp sub-neg frac-2neg div-sub pow-exp clear-num div-inv associate--r-
1×distribute-frac-neg rem-log-exp log-pow
Counts
4 → 223
Calls
4 calls:
5.0ms
(/ 0.125 (pow x 3))
6.0ms
(/ (neg 0.0625) (pow x 5))
70.0ms
(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5)))))
72.0ms
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5))))

series26.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 0.125 (pow x 3))
4.0ms
(/ (neg 0.0625) (pow x 5))
13.0ms
(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5)))))
5.0ms
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5))))

simplify100.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08371963
137941884
250021876

prune443.0ms

Filtered
152 candidates to 235 candidates (-54.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2350235
Fresh011
Picked011
Done022
Total2354239

Merged error: 0.0b

Counts
239 → 4

regimes134.0ms

Accuracy

99.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 32.2b

bsearch38.0ms

Steps
ItersRangePoint
11
3.9520027896654484e-05
1.4555471325179698e+32
0.900067408126044
9
-807.5111341838605
-0.0062853381699669985
-1.0160302187393464

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04127
14127

end0.0ms

sample3.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75.012207%

Results
1.1s2303×body1280valid
471.0ms1624×body640valid
267.0ms766×body2560valid
139.0ms779×body320valid
98.0ms2151×body80valid
39.0ms377×body160valid

Profiling

Loading profile data...