Details

Time bar (total: 1.1s)

analyze5.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1153
2153

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* x x) 2.0)
0.0b
(- (* (* x x) 2.0) 1.0)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
sub-neg flip3-- diff-log associate-*l* *-commutative flip-- unswap-sqr
Counts
2 → 31
Calls
2 calls:
5.0ms
(* (* x x) 2.0)
5.0ms
(- (* (* x x) 2.0) 1.0)

series8.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* (* x x) 2.0)
5.0ms
(- (* (* x x) 2.0) 1.0)

simplify84.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0148151
1571133
22335131
35001131

prune64.0ms

Filtered
24 candidates to 37 candidates (-54.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New36137
Fresh000
Picked011
Done000
Total36238

Merged error: 0.0b

Counts
38 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow x 4) 2.0)
0.0b
(+ (* (* x x) 2.0) 1.0)
0.0b
(* (* (pow x 4) 2.0) 2.0)
8.6b
(/ (+ (neg (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
13×add-cbrt-cube
10×prod-exp
times-frac
associate-*l*
pow1 associate-*r* add-log-exp
unpow-prod-down cbrt-unprod
flip3-+ associate-/r* flip-+ associate-/l* unswap-sqr
pow-to-exp pow-exp associate-/r/ *-commutative associate-/l/ sqr-pow
cbrt-undiv +-commutative neg-sub0 associate-+l- frac-2neg div-sub div-exp pow-prod-down clear-num sum-log div-inv
Counts
4 → 87
Calls
4 calls:
5.0ms
(* (pow x 4) 2.0)
5.0ms
(+ (* (* x x) 2.0) 1.0)
5.0ms
(* (* (pow x 4) 2.0) 2.0)
14.0ms
(/ (+ (neg (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (pow x 4) 2.0)
5.0ms
(+ (* (* x x) 2.0) 1.0)
4.0ms
(* (* (pow x 4) 2.0) 2.0)
12.0ms
(/ (+ (neg (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0370803
11874708
25001690

prune146.0ms

Filtered
69 candidates to 99 candidates (-43.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New98199
Fresh000
Picked101
Done011
Total992101

Merged error: 0b

Counts
101 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* x x) 2.0) 1.0)
0.0b
(* (* (pow x 4) 2.0) 2.0)
1.5b
(exp (log (/ (+ (neg (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))))
8.6b
(/ (+ (neg (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
16×add-exp-log
15×log-prod exp-sum
11×add-cbrt-cube
pow1 prod-exp
add-log-exp
exp-prod flip3-+ associate-/r/ flip-+
associate-*r* associate-/r* cbrt-unprod associate-/l*
div-inv associate-/l/
cbrt-undiv +-commutative neg-sub0 pow-to-exp associate-+l- log-div frac-2neg exp-diff div-sub div-exp associate-*l* pow-prod-down pow-exp clear-num sum-log log-pow *-commutative rem-exp-log
Counts
4 → 90
Calls
4 calls:
5.0ms
(+ (* (* x x) 2.0) 1.0)
5.0ms
(* (* (pow x 4) 2.0) 2.0)
9.0ms
(exp (log (/ (+ (neg (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))))
10.0ms
(/ (+ (neg (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))

series32.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* (* x x) 2.0) 1.0)
4.0ms
(* (* (pow x 4) 2.0) 2.0)
12.0ms
(exp (log (/ (+ (neg (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))))
12.0ms
(/ (+ (neg (* 1.0 1.0)) (* (* (pow x 4) 2.0) 2.0)) (+ (* (* x x) 2.0) 1.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04311198
119441075
250011033

prune180.0ms

Filtered
72 candidates to 102 candidates (-41.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh000
Picked011
Done011
Total1022104

Merged error: 0b

Counts
104 → 2

regimes96.0ms

Accuracy

100% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073
173

end0.0ms

analyze3.0ms

Algorithm
search

sample244.0ms

Algorithm
intervals
Results
159.0ms8000×body80valid

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