Details

Time bar (total: 1.5s)

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04017
14017

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
5×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 77
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
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))
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
10.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
053631243

prune125.0ms

Filtered
66 candidates to 89 candidates (-34.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New87289
Fresh000
Picked101
Done000
Total88290

Merged error: 0b

Counts
90 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
10.9b
(cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
14.6b
(/ (+ 2.30753 (* x 0.27061)) (cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
46×add-sqr-sqrt
45×times-frac
44×add-cube-cbrt *-un-lft-identity
18×unpow-prod-down cube-prod
15×associate-/r*
9×add-exp-log
8×add-cbrt-cube
7×pow1
6×cube-div cube-mult unpow3 sqr-pow
5×flip3-+ flip-+
4×cbrt-div add-log-exp
3×pow-unpow associate-*r* associate-*l* associate-/l*
2×associate-*r/ associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in pow-to-exp pow-pow frac-2neg distribute-lft-in pow1/3 div-exp pow-prod-down pow-exp prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod div-inv rem-cube-cbrt unswap-sqr
Counts
4 → 149
Calls
4 calls:
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
3.0ms
(cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))

series18.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)
3.0ms
(cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (cbrt (pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 3)))

simplify66.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050223087

prune193.0ms

Filtered
89 candidates to 161 candidates (-80.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1610161
Fresh011
Picked011
Done000
Total1612163

Merged error: 0b

Counts
163 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.2b
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
14.5b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.5b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite44.0ms

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×flip3-+ associate-/r* associate-/r/ flip-+
5×cbrt-undiv
4×cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-/l/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 160
Calls
4 calls:
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
23.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
2.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series22.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
5.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
5.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
053544371

prune370.0ms

Filtered
115 candidates to 172 candidates (-49.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1720172
Fresh000
Picked011
Done011
Total1722174

Merged error: 0b

Counts
174 → 2

regimes27.0ms

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
02320
12320

end0.0ms

sample443.0ms

Algorithm
intervals
Results
317.0ms8000×body80valid

Profiling

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