Details

Time bar (total: 2.5s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14

sample17.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04019
14019

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
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)))
12.2b
(/ (+ 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×flip3-+ associate-*r/ flip-+
3×associate-/r* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in 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 → 89
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
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)))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series23.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
8.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049331616
149331616

prune177.0ms

Filtered
74 candidates to 101 candidates (-36.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New983101
Fresh000
Picked101
Done000
Total993102

Merged error: 0b

Counts
102 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711))
0.1b
(* (sqrt 0.70711) (* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711)))
12.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
21×*-un-lft-identity
19×add-cube-cbrt
15×add-exp-log associate-*l* add-cbrt-cube
13×pow1
10×times-frac associate-*r*
7×sqrt-prod
5×pow-prod-down prod-exp cbrt-unprod
4×associate-*r/ associate-*l/ add-log-exp
3×flip3-+ associate-/r* *-commutative flip-+ associate-/l* unswap-sqr
2×flip3-- associate-/r/ flip-- associate-/l/ difference-of-squares
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp clear-num div-inv distribute-lft-out--
Counts
4 → 103
Calls
4 calls:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
15.0ms
(* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711))
17.0ms
(* (sqrt 0.70711) (* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711)))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711))
12.0ms
(* (sqrt 0.70711) (* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
056772146

prune230.0ms

Filtered
85 candidates to 115 candidates (-35.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1150115
Fresh022
Picked011
Done000
Total1153118

Merged error: 0b

Counts
118 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (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)))))))
12.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite50.0ms

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:
20.0ms
(* (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)))))))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (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)))))))
8.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
053805359

prune924.0ms

Filtered
152 candidates to 189 candidates (-24.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1890189
Fresh011
Picked011
Done011
Total1893192

Merged error: 0b

Counts
192 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x 1.3436228731669864) 2.134856267379707)
0.0b
(+ 1.6316775383 (* x (- (* x 1.3436228731669864) 2.134856267379707)))
0.1b
(* x (- (* x 1.3436228731669864) 2.134856267379707))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 add-exp-log add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+r+ flip3-- distribute-lft-in associate-*r/ flip--
1×+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 46
Calls
3 calls:
4.0ms
(- (* x 1.3436228731669864) 2.134856267379707)
3.0ms
(+ 1.6316775383 (* x (- (* x 1.3436228731669864) 2.134856267379707)))
6.0ms
(* x (- (* x 1.3436228731669864) 2.134856267379707))

series13.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* x 1.3436228731669864) 2.134856267379707)
3.0ms
(+ 1.6316775383 (* x (- (* x 1.3436228731669864) 2.134856267379707)))
6.0ms
(* x (- (* x 1.3436228731669864) 2.134856267379707))

simplify51.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04966524
14966524

prune61.0ms

Filtered
38 candidates to 55 candidates (-44.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New55055
Fresh000
Picked011
Done022
Total55358

Merged error: 0b

Counts
58 → 3

regimes69.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02623
12623

end0.0ms

analyze6.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14

sample489.0ms

Algorithm
intervals
Results
389.0ms8000×body80valid

Profiling

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