Details

Time bar (total: 1.5s)

analyze7.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%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

sample18.0ms

Algorithm
intervals
Results
5.0ms45×body640valid
4.0ms50×body320valid
4.0ms137×body80valid
1.0ms24×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0811
1811

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 14.6b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
3.0b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
55×times-frac
50×add-sqr-sqrt
30×add-cube-cbrt
25×distribute-lft-out--
10×distribute-lft-out
9×associate-/r*
8×difference-of-squares
7×add-exp-log add-cbrt-cube
6×associate-/r/ associate-/l*
5×add-log-exp
4×div-inv
3×pow1 flip--
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-+
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 101
Calls
3 calls:
5.0ms
(/ 1.0 (- x 1.0))
5.0ms
(/ 1.0 (+ x 1.0))
22.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series14.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1.0 (- x 1.0))
2.0ms
(/ 1.0 (+ x 1.0))
10.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050471241

prune131.0ms

Filtered
80 candidates to 110 candidates (-37.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh000
Picked011
Done000
Total1092111

Merged error: 0.1b

Counts
111 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (* 1.0 (- (neg 1.0) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ difference-of-squares
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
11.0ms
(/ (* 1.0 (- (neg 1.0) 1.0)) (- (* x x) (* 1.0 1.0)))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/ (* 1.0 (- (neg 1.0) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify32.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05042447

prune57.0ms

Filtered
24 candidates to 30 candidates (-25.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New25530
Fresh000
Picked011
Done101
Total26632

Merged error: 0.0b

Counts
32 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ 1.0 x))
0.1b
(/ (* (- (neg 1.0) 1.0) (/ 1.0 (+ 1.0 x))) (- x 1.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
17×add-sqr-sqrt times-frac
13×add-exp-log add-cube-cbrt add-cbrt-cube
9×associate-/r*
5×cbrt-undiv div-exp associate-/l/
4×associate-/r/ distribute-lft-out associate-/l*
3×flip3-- flip--
2×pow1 frac-times frac-2neg associate-*l/ prod-exp clear-num cbrt-unprod div-inv distribute-lft-out-- add-log-exp difference-of-squares
1×flip3-+ associate-*r/ flip-+
Counts
2 → 67
Calls
2 calls:
5.0ms
(/ 1.0 (+ 1.0 x))
14.0ms
(/ (* (- (neg 1.0) 1.0) (/ 1.0 (+ 1.0 x))) (- x 1.0))

series7.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ 1.0 (+ 1.0 x))
5.0ms
(/ (* (- (neg 1.0) 1.0) (/ 1.0 (+ 1.0 x))) (- x 1.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05364880

prune99.0ms

Filtered
54 candidates to 73 candidates (-35.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh134
Picked011
Done011
Total73679

Merged error: 0.0b

Counts
79 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
15.2b
(cbrt (- (* x x) (* 1.0 1.0)))
15.2b
(cbrt (- (* x x) (* 1.0 1.0)))
15.2b
(cbrt (- (* x x) (* 1.0 1.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×cbrt-prod
9×add-exp-log add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l* difference-of-squares
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 71
Calls
4 calls:
10.0ms
(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
3.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
3.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
3.0ms
(cbrt (- (* x x) (* 1.0 1.0)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
12.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
12.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
15.0ms
(cbrt (- (* x x) (* 1.0 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049231294
149231294

prune207.0ms

Filtered
70 candidates to 83 candidates (-18.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New81283
Fresh033
Picked101
Done022
Total82789

Merged error: 0b

Counts
89 → 7

regimes43.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11014

end0.0ms

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%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

sample528.0ms

Algorithm
intervals
Results
193.0ms1892×body640valid
114.0ms4182×body80valid
102.0ms1297×body320valid
32.0ms629×body160valid

Profiling

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