Details

Time bar (total: 4.0s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0319
1519
2699
3869
4949
51059
61399
71779
82029
92469
104169
116159
129929
1319489
1422409
1531549
1650019

prune6.0ms

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: 0.1b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log times-frac add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×distribute-rgt-in distribute-lft-in flip3-+ associate-*r/ flip-+
3×associate-/r* associate-/l*
2×sub-neg associate-+r+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
4 → 93
Calls
4 calls:
13.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series243.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
21.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
65.0ms
(* x (+ 0.99229 (* x 0.04481)))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0515937
12308867
25001867

prune213.0ms

Filtered
105 candidates to 76 candidates (72.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1005105
Fresh000
Picked101
Done000
Total1015106

Merged error: 0.0b

Counts
106 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
13×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l* add-log-exp
5×flip3-+ flip-+
4×associate-/r/
3×associate-*r/ prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv distribute-rgt-in associate-+r+ distribute-lft-in div-exp pow-prod-down *-commutative div-inv associate-/l/
1×+-commutative frac-2neg clear-num sum-log
Counts
4 → 100
Calls
4 calls:
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(* 0.70711 (/ (+ 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)))))

series215.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
68.0ms
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
59.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify86.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05241017
12513917
25001917

prune240.0ms

Filtered
112 candidates to 84 candidates (75.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1120112
Fresh044
Picked011
Done000
Total1125117

Merged error: 0.0b

Counts
117 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
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))))))
14.8b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.8b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite41.0ms

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:
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
15.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (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)))))

series381.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
61.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
80.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
81.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify118.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
09296227
135405694
250025608

prune512.0ms

Filtered
276 candidates to 150 candidates (54.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2751276
Fresh123
Picked011
Done011
Total2765281

Merged error: 0.0b

Counts
281 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
72×cbrt-prod
69×times-frac
60×add-cube-cbrt *-un-lft-identity
18×swap-sqr associate-*r* associate-*l*
14×associate-/r/
12×add-exp-log
11×pow1
10×flip3-+ add-cbrt-cube flip-+
9×associate-/r* associate-/l* unswap-sqr
7×div-inv
6×pow1/3 associate-/l/
4×cbrt-div add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 177
Calls
4 calls:
18.0ms
(* (cbrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (/ (+ 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)))))
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)))))

series399.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(* (cbrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
58.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
64.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
65.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify79.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05633240
121603079
250022946

prune589.0ms

Filtered
189 candidates to 150 candidates (79.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1890189
Fresh022
Picked011
Done022
Total1895194

Merged error: 0.0b

Counts
194 → 5

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911
13311
23411
33411

end0.0ms

sample417.0ms

Algorithm
intervals
Results
328.0ms8000×body80valid

Profiling

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