Details

Time bar (total: 1.4s)

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
167

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.9b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

16.9b
(/ x (+ (* x x) 1.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
5.0ms
(/ x (+ (* x x) 1.0))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/ x (+ (* x x) 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05092373

prune57.0ms

Filtered
26 candidates to 32 candidates (-23.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New28432
Fresh000
Picked101
Done000
Total29433

Merged error: 0b

Counts
33 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (sqrt (+ (* x x) 1.0)))
0.0b
(* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))
16.8b
(sqrt (+ (* x x) 1.0))
16.8b
(sqrt (+ (* x x) 1.0))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×sqrt-div
9×div-exp
8×pow1 prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 158
Calls
4 calls:
6.0ms
(/ x (sqrt (+ (* x x) 1.0)))
23.0ms
(* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))
4.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

series18.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ x (sqrt (+ (* x x) 1.0)))
4.0ms
(* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))
3.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
065342234

prune238.0ms

Filtered
112 candidates to 170 candidates (-51.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1700170
Fresh033
Picked011
Done000
Total1704174

Merged error: 0b

Counts
174 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
4.4b
(/ (cbrt x) (+ (* x x) 1.0))
12.2b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (* x x) 1.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
34×add-cube-cbrt *-un-lft-identity
28×cbrt-prod
24×associate-*r*
18×add-exp-log
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
2×flip3-+ pow1/3 flip-+ div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(/ (cbrt x) (+ (* x x) 1.0))
13.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (* x x) 1.0)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
19.0ms
(/ (cbrt x) (+ (* x x) 1.0))
7.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (* x x) 1.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049281332
149281332

prune126.0ms

Filtered
90 candidates to 122 candidates (-35.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh022
Picked011
Done011
Total1224126

Merged error: 0b

Counts
126 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

2.0b
(/ x (- (pow x 4) (* 1.0 1.0)))
21.2b
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
37×times-frac
24×add-cube-cbrt *-un-lft-identity associate-*l*
22×difference-of-squares
9×add-exp-log add-cbrt-cube
7×unpow-prod-down sqr-pow
6×associate-/r*
4×pow1 flip3-- associate-*r* associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 91
Calls
2 calls:
5.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
13.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

series16.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
7.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
059291285

prune146.0ms

Filtered
80 candidates to 97 candidates (-21.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh011
Picked011
Done022
Total974101

Merged error: 0b

Counts
101 → 4

regimes41.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.0b

bsearch37.0ms

Steps
ItersRangePoint
9
54.98615069259875
7030692.279523352
42822.353765390435
9
-3062679909.499451
-4.689451816021908
-16524538.364294972

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03239
13239

end0.0ms

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2

sample264.0ms

Algorithm
intervals
Results
179.0ms8000×body80valid

Profiling

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