Details

Time bar (total: 2.1s)

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

sample16.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0489919
1489919

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize16.0ms

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)))
15.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite30.0ms

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))
12.0ms
(* 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)))))

simplify41.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
052001616

prune165.0ms

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:

0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
15.6b
(/ (+ 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-*l*
13×add-exp-log add-cbrt-cube
8×pow1
6×associate-*r* add-log-exp
5×flip3-+ flip-+
4×associate-/r/
3×prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in associate-*l/ 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
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series20.0ms

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

simplify45.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
055941730

prune182.0ms

Filtered
83 candidates to 110 candidates (-32.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh022
Picked011
Done000
Total1103113

Merged error: 0b

Counts
113 → 3

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))))))
0.2b
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
15.5b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.5b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite44.0ms

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))))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series24.0ms

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

simplify116.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049619658
149619658

prune623.0ms

Filtered
150 candidates to 276 candidates (-84.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2760276
Fresh011
Picked011
Done011
Total2763279

Merged error: 0b

Counts
279 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.6316775383 (* x (- (* x 1.3436228731669864) 2.134856267379707)))
0.0b
(- (* 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:
3.0ms
(+ 1.6316775383 (* x (- (* x 1.3436228731669864) 2.134856267379707)))
4.0ms
(- (* x 1.3436228731669864) 2.134856267379707)
6.0ms
(* x (- (* x 1.3436228731669864) 2.134856267379707))

series15.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ 1.6316775383 (* x (- (* x 1.3436228731669864) 2.134856267379707)))
4.0ms
(- (* x 1.3436228731669864) 2.134856267379707)
8.0ms
(* x (- (* x 1.3436228731669864) 2.134856267379707))

simplify64.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04990524
14990524

prune57.0ms

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

regimes30.0ms

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 (1.0ms)

IterNodesCost
05121
15121

end0.0ms

sample442.0ms

Algorithm
intervals
Results
348.0ms8000×body80valid

Profiling

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