Details

Time bar (total: 2.2s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1428
2508
3508

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: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(* x (+ 0.99229 (* x 0.04481)))
13.1b
(/ (+ 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 associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 75
Calls
4 calls:
2.0ms
(+ 2.30753 (* x 0.27061))
3.0ms
(+ 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)))))

series191.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ 2.30753 (* x 0.27061))
31.0ms
(+ 0.99229 (* x 0.04481))
64.0ms
(* x (+ 0.99229 (* x 0.04481)))
59.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0401622
11709574
25001574

prune159.0ms

Filtered
87 candidates to 65 candidates (74.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New85287
Fresh000
Picked011
Done000
Total85388

Merged error: 0b

Counts
88 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.2b
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
13.1b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.1b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×flip3-+ associate-/r* flip-+
11×add-exp-log add-cbrt-cube
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 264
Calls
4 calls:
19.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series375.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
159.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
78.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
82.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify123.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
09296227
135405694
250015620

prune486.0ms

Filtered
276 candidates to 148 candidates (53.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2760276
Fresh011
Picked011
Done011
Total2763279

Merged error: 0b

Counts
279 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x))
0.0b
(+ (* 1.900161040244073 (pow x 2)) 2.30753)
0.0b
(- (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x)) x)
0.1b
(* 1.900161040244073 (pow x 2))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
15×add-sqr-sqrt
9×add-exp-log *-un-lft-identity
8×associate-*r*
7×add-cube-cbrt diff-log
6×add-cbrt-cube
5×associate--l+
4×pow1 unpow-prod-down unswap-sqr
3×sub-neg associate-*l* prod-exp sum-log
2×flip3-- flip-- unpow2 sqr-pow
1×+-commutative associate--l- pow-to-exp flip3-+ pow-exp *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 72
Calls
4 calls:
7.0ms
(- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x))
4.0ms
(+ (* 1.900161040244073 (pow x 2)) 2.30753)
14.0ms
(- (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x)) x)
5.0ms
(* 1.900161040244073 (pow x 2))

series122.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x))
53.0ms
(+ (* 1.900161040244073 (pow x 2)) 2.30753)
23.0ms
(- (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x)) x)
24.0ms
(* 1.900161040244073 (pow x 2))

simplify42.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0304475
11145450
25001441

prune129.0ms

Filtered
84 candidates to 54 candidates (64.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done022
Total84387

Merged error: 0b

Counts
87 → 3

regimes31.0ms

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

sample344.0ms

Algorithm
intervals
Results
252.0ms8000×body80valid

Profiling

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