Details

Time bar (total: 3.7s)

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify123.0ms

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

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
11×times-frac
10×add-exp-log add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×associate-*r/ difference-of-squares
3×distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- unswap-sqr
1×cbrt-undiv frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 95
Calls
4 calls:
10.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
13.0ms
(* 0.70711 (- (/ (+ 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)))))

series294.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
92.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
62.0ms
(* x (+ 0.99229 (* x 0.04481)))
58.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05241067
12237989
25001989

prune208.0ms

Filtered
107 candidates to 78 candidates (72.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1034107
Fresh000
Picked101
Done000
Total1044108

Merged error: 0b

Counts
108 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
15.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite25.0ms

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 div-exp pow-prod-down *-commutative div-inv associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in clear-num sum-log
Counts
4 → 98
Calls
4 calls:
3.0ms
(+ 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)))))

series222.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ 0.99229 (* x 0.04481))
60.0ms
(* x (+ 0.99229 (* x 0.04481)))
67.0ms
(* 0.70711 (/ (+ 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)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0521973
12427877
25001877

prune224.0ms

Filtered
110 candidates to 83 candidates (75.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh033
Picked011
Done000
Total1104114

Merged error: 0b

Counts
114 → 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)))))
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)))))
3.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series624.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
141.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
135.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
141.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05261360
116581261
250011165

prune290.0ms

Filtered
82 candidates to 72 candidates (87.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh022
Picked011
Done011
Total82486

Merged error: 0b

Counts
86 → 4

localize15.0ms

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)))))

rewrite43.0ms

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:
26.0ms
(* (/ 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
(/ 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)))))

series324.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
100.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
80.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
82.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify109.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07322692
143592408
250012242

prune354.0ms

Filtered
176 candidates to 106 candidates (60.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1760176
Fresh011
Picked011
Done022
Total1764180

Merged error: 0b

Counts
180 → 4

regimes23.0ms

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

sample465.0ms

Algorithm
intervals
Results
362.0ms8000×body80valid

Profiling

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