Details

Time bar (total: 2.2s)

sample17.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1428
2508
3508

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*r/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 79
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
9.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series21.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
7.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0437781
11823736
25002729

prune129.0ms

Filtered
69 candidates to 91 candidates (-31.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New89291
Fresh000
Picked011
Done000
Total89392

Merged error: 0b

Counts
92 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 2.30753 (* x 0.27061)))
0.8b
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
3.3b
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061))))
11.8b
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
62×add-sqr-sqrt
54×add-cube-cbrt *-un-lft-identity
49×cbrt-prod
32×cbrt-div
30×associate-/r*
20×add-exp-log
17×flip3-+ flip-+
11×pow1 add-cbrt-cube
10×associate-/l/
8×frac-times
7×cbrt-undiv pow1/3 div-exp associate-/r/
6×swap-sqr associate-*r* associate-*l*
4×associate-*r/ associate-*l/ div-inv associate-/l* add-log-exp unswap-sqr
3×prod-exp cbrt-unprod
2×frac-2neg pow-prod-down clear-num pow-sqr pow-prod-up
1×pow2 pow-plus *-commutative
Counts
4 → 180
Calls
4 calls:
2.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
8.0ms
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
7.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061))))
17.0ms
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061)))))

series31.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
8.0ms
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
12.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061))))
5.0ms
(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061)))))

simplify128.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
010263149
146692931
250022866

prune711.0ms

Filtered
165 candidates to 192 candidates (-16.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1920192
Fresh011
Picked011
Done011
Total1923195

Merged error: 0b

Counts
195 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.6b
(* (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
14.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
44×*-un-lft-identity
34×sqrt-prod
30×add-cube-cbrt
22×times-frac
21×pow1
13×swap-sqr
12×add-exp-log sqrt-div associate-*r* associate-*l* add-cbrt-cube
8×sqrt-pow1 pow1/2 difference-of-squares
6×flip3-- associate-/r* flip-- associate-/l* distribute-lft-out--
5×flip3-+ pow-prod-up flip-+ unswap-sqr
4×frac-times associate-*r/ pow-prod-down associate-/r/ associate-/l/ add-log-exp
3×pow-sqr
2×cbrt-undiv frac-2neg div-exp associate-*l/ prod-exp clear-num *-commutative cbrt-unprod div-inv
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 152
Calls
4 calls:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
23.0ms
(* (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series25.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
8.0ms
(* (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify83.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05162047
125121876
250011835

prune328.0ms

Filtered
105 candidates to 164 candidates (-56.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1640164
Fresh000
Picked011
Done022
Total1643167

Merged error: 0b

Counts
167 → 3

regimes62.0ms

Accuracy

0% (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
0208
1208

end0.0ms

sample460.0ms

Algorithm
intervals
Results
327.0ms8000×body80valid

Profiling

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