Details

Time bar (total: 5.2s)

sample67.0ms

Algorithm
intervals
Results
31.0ms71×body1280valid
13.0ms50×body640valid
8.0ms24×body2560valid
3.0ms20×body320valid
3.0ms77×body80valid
1.0ms14×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
095
195

prune2.0ms

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: 53.5b

Counts
2 → 1

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) 1.0)
0.1b
(+ x (sqrt (+ (* x x) 1.0)))
3.5b
(log (+ x (sqrt (+ (* x x) 1.0))))
16.6b
(sqrt (+ (* x x) 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-log-exp
7×add-sqr-sqrt
6×pow1 add-cube-cbrt
5×add-exp-log
4×log-prod flip3-+ add-cbrt-cube flip-+
3×sqrt-prod
2×+-commutative log-div sqrt-div sum-log distribute-lft-out
1×rem-sqrt-square sqrt-pow1 pow1/2 rem-log-exp log-pow
Counts
4 → 53
Calls
4 calls:
4.0ms
(+ (* x x) 1.0)
5.0ms
(+ x (sqrt (+ (* x x) 1.0)))
8.0ms
(log (+ x (sqrt (+ (* x x) 1.0))))
4.0ms
(sqrt (+ (* x x) 1.0))

series300.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* x x) 1.0)
59.0ms
(+ x (sqrt (+ (* x x) 1.0)))
169.0ms
(log (+ x (sqrt (+ (* x x) 1.0))))
41.0ms
(sqrt (+ (* x x) 1.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0333450
11163414
25001398

prune161.0ms

Filtered
65 candidates to 53 candidates (81.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New58765
Fresh000
Picked101
Done000
Total59766

Merged error: 0.0b

Counts
66 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))
0.2b
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
220×associate-*r*
182×add-sqr-sqrt
140×unpow-prod-down cube-prod
118×add-cube-cbrt *-un-lft-identity
80×sqrt-prod
40×sqr-pow
30×cube-mult unpow3
25×add-exp-log unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp add-log-exp
4×pow1
3×associate-*r/ associate-*l*
2×diff-log frac-sub cbrt-unprod
1×cbrt-undiv sub-neg flip3-- flip3-+ pow-prod-down associate--l+ sum-log *-commutative flip-- flip-+ div-inv
Counts
2 → 286
Calls
2 calls:
12.0ms
(- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))
50.0ms
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

series285.0ms

Counts
2 → 6
Calls
2 calls:
154.0ms
(- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))
131.0ms
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

simplify120.0ms

Algorithm
egg-herbie
Counts
292 → 292
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08542083
146421650
250021650

prune367.0ms

Filtered
292 candidates to 111 candidates (38.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2920292
Fresh066
Picked011
Done000
Total2927299

Merged error: 0.0b

Counts
299 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))
0.0b
(+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3))))
0.1b
(/ 0.125 (pow x 3))
8.0b
(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
43×add-sqr-sqrt
40×times-frac
30×add-cube-cbrt
18×add-log-exp
13×unpow-prod-down cube-prod
12×associate-/r*
10×add-exp-log
9×distribute-lft-out
6×log-prod add-cbrt-cube distribute-lft-out--
5×pow1 sum-log difference-of-squares sqr-pow
4×cube-mult diff-log unpow3
3×associate-+r+ flip3-+ div-exp flip-+ associate-/l*
2×sub-neg log-div associate--l+ frac-sub
1×cbrt-undiv +-commutative pow-to-exp associate-+r- flip3-- frac-2neg rem-log-exp pow-exp clear-num log-pow flip-- div-inv
Counts
4 → 125
Calls
4 calls:
18.0ms
(- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))
22.0ms
(+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3))))
5.0ms
(/ 0.125 (pow x 3))
20.0ms
(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

series271.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))
48.0ms
(+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3))))
35.0ms
(/ 0.125 (pow x 3))
152.0ms
(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0505968
12345912
25002912

prune214.0ms

Filtered
137 candidates to 80 candidates (58.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh055
Picked011
Done011
Total1377144

Merged error: 0.0b

Counts
144 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (log 2) (- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x)))
0.1b
(/ (/ 0.25 x) x)
0.2b
(/ 0.09375 (pow x 4))
5.4b
(- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
90×*-un-lft-identity
74×add-sqr-sqrt
63×add-cube-cbrt
23×distribute-lft-out--
16×associate-/l*
14×add-exp-log
13×add-log-exp
12×unpow-prod-down
11×pow1 add-cbrt-cube
10×associate-/r*
9×diff-log
7×associate--l+ log-pow
6×div-exp div-inv
5×sub-neg
4×cbrt-undiv associate--r+ difference-of-squares sqr-pow
3×log-prod flip3-- flip--
2×frac-2neg clear-num frac-sub
1×associate--l- pow-to-exp pow-exp associate-/l/ associate--r-
Counts
4 → 170
Calls
4 calls:
36.0ms
(- (log 2) (- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x)))
6.0ms
(/ (/ 0.25 x) x)
4.0ms
(/ 0.09375 (pow x 4))
30.0ms
(- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x))

series224.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(- (log 2) (- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x)))
31.0ms
(/ (/ 0.25 x) x)
35.0ms
(/ 0.09375 (pow x 4))
65.0ms
(- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x))

simplify68.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
07201396
128051332
250011307

prune378.0ms

Filtered
182 candidates to 118 candidates (64.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1820182
Fresh044
Picked011
Done022
Total1827189

Merged error: 0.0b

Counts
189 → 7

regimes88.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 32.0b

bsearch70.0ms

Steps
ItersRangePoint
8
0.17152303280385153
144.2461487089888
0.8959083659258422
7
-2.746636760301741
-0.06221852409423964
-1.0067122684563858

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04127
14127

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.1s2367×body1280valid
435.0ms1554×body640valid
262.0ms783×body2560valid
132.0ms788×body320valid
89.0ms2108×body80valid
39.0ms400×body160valid

Profiling

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