Details

Time bar (total: 5.8s)

sample80.0ms

Algorithm
intervals
Results
44.0ms92×body1280valid
12.0ms43×body640valid
8.0ms22×body2560valid
5.0ms26×body320valid
3.0ms62×body80valid
1.0ms11×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: 54.3b

Counts
2 → 1

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) 1.0)
0.4b
(+ x (sqrt (+ (* x x) 1.0)))
2.5b
(log (+ x (sqrt (+ (* x x) 1.0))))
13.7b
(sqrt (+ (* x x) 1.0))

rewrite22.0ms

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)
6.0ms
(+ x (sqrt (+ (* x x) 1.0)))
6.0ms
(log (+ x (sqrt (+ (* x x) 1.0))))
4.0ms
(sqrt (+ (* x x) 1.0))

series292.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* x x) 1.0)
56.0ms
(+ x (sqrt (+ (* x x) 1.0)))
161.0ms
(log (+ x (sqrt (+ (* x x) 1.0))))
44.0ms
(sqrt (+ (* x x) 1.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0333450
11163414
25001398

prune163.0ms

Filtered
65 candidates to 53 candidates (81.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New60565
Fresh000
Picked101
Done000
Total61566

Merged error: 0.0b

Counts
66 → 5

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))))
0.1b
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

rewrite95.0ms

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:
14.0ms
(- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))
60.0ms
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

series298.0ms

Counts
2 → 6
Calls
2 calls:
158.0ms
(- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))
140.0ms
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

simplify143.0ms

Algorithm
egg-herbie
Counts
292 → 292
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08542089
146421654
250011654

prune365.0ms

Filtered
292 candidates to 111 candidates (38.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2920292
Fresh044
Picked011
Done000
Total2925297

Merged error: 0.0b

Counts
297 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- 0.0625) (pow x 5))
0.3b
(/ 0.125 (pow x 3))
14.1b
(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5)))))
20.8b
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5))))

rewrite194.0ms

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:
7.0ms
(/ (- 0.0625) (pow x 5))
6.0ms
(/ 0.125 (pow x 3))
90.0ms
(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5)))))
81.0ms
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5))))

series328.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (- 0.0625) (pow x 5))
41.0ms
(/ 0.125 (pow x 3))
184.0ms
(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5)))))
57.0ms
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5))))

simplify106.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08371970
138171891
250021883

prune527.0ms

Filtered
235 candidates to 158 candidates (67.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2350235
Fresh033
Picked011
Done011
Total2355240

Merged error: 0.0b

Counts
240 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log 2) (- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x)))
0.1b
(/ 0.09375 (pow x 4))
0.1b
(/ (/ 0.25 x) x)
7.0b
(- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x))

rewrite96.0ms

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:
42.0ms
(- (log 2) (- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x)))
5.0ms
(/ 0.09375 (pow x 4))
6.0ms
(/ (/ 0.25 x) x)
36.0ms
(- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x))

series225.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(- (log 2) (- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x)))
35.0ms
(/ 0.09375 (pow x 4))
23.0ms
(/ (/ 0.25 x) x)
66.0ms
(- (- (/ 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
07211389
126641284
250011281

prune390.0ms

Filtered
182 candidates to 118 candidates (64.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1820182
Fresh022
Picked011
Done022
Total1825187

Merged error: 0.0b

Counts
187 → 5

regimes34.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 32.5b

bsearch70.0ms

Steps
ItersRangePoint
6
0.09081442282169057
1.3894494120209264
0.9640751759201969
8
-6.238959787773506
-0.00010711273713490883
-0.9988164544060855

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04829
14829

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.1s2303×body1280valid
445.0ms1547×body640valid
285.0ms816×body2560valid
133.0ms767×body320valid
99.0ms2152×body80valid
44.0ms415×body160valid

Profiling

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