Details

Time bar (total: 3.8s)

sample18.0ms

Algorithm
intervals
Results
10.0ms256×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

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)))
15.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite27.0ms

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))
10.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series235.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ 0.99229 (* x 0.04481))
82.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
64.0ms
(* x (+ 0.99229 (* x 0.04481)))
57.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0437781
11823736
25001736

prune181.0ms

Filtered
91 candidates to 69 candidates (75.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New88391
Fresh000
Picked101
Done000
Total89392

Merged error: 0.0b

Counts
92 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
15.5b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.5b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.5b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
11.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series613.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
140.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
136.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
141.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
05261360
116581261
250011165

prune276.0ms

Filtered
82 candidates to 72 candidates (87.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New81182
Fresh022
Picked011
Done000
Total81485

Merged error: 0b

Counts
85 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 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))))))
15.1b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.1b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
30×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×pow1 sqrt-div div-exp
8×prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod add-log-exp
3×rec-exp pow-flip sqrt-pow1 pow1/2 1-exp div-inv associate-/l*
2×rem-sqrt-square
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 164
Calls
4 calls:
24.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
6.0ms
(/ 1 (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)))))

series311.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
104.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
76.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
76.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify102.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07322695
143752408
250022242

prune334.0ms

Filtered
176 candidates to 106 candidates (60.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh022
Picked011
Done011
Total1764180

Merged error: 0b

Counts
180 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
15.5b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.5b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
16.8b
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 1/3)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-div
10×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×flip3-+ flip-+
8×associate-/r/
7×add-cbrt-cube
6×cbrt-prod
5×pow1
4×frac-times add-log-exp
3×unpow-prod-down pow-unpow times-frac associate-/l*
2×cbrt-undiv pow1/3 associate-*r/ div-exp associate-*l/ associate-/l/
1×pow-to-exp pow-pow frac-2neg unpow1/3 pow-exp prod-exp clear-num associate-/r* cbrt-unprod div-inv sqr-pow
Counts
4 → 75
Calls
4 calls:
11.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
4.0ms
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 1/3)

series622.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
138.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
144.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
140.0ms
(pow (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) 1/3)

simplify57.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05741342
121051175
250021153

prune293.0ms

Filtered
87 candidates to 71 candidates (81.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh011
Picked011
Done022
Total87491

Merged error: 0b

Counts
91 → 4

regimes23.0ms

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
02321
12321

end0.0ms

sample404.0ms

Algorithm
intervals
Results
308.0ms8000×body80valid

Profiling

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