Details

Time bar (total: 1.5s)

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

sample20.0ms

Algorithm
intervals
Results
7.0ms72×body640valid
3.0ms126×body80valid
3.0ms40×body320valid
1.0ms18×body160valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
064911
164911

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: 16.3b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
2.3b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite43.0ms

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))
29.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series12.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1.0 (- x 1.0))
2.0ms
(/ 1.0 (+ x 1.0))
8.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049051239
149051239

prune139.0ms

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: 0.5b

Counts
111 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp prod-exp cbrt-unprod
2×associate-/r/ difference-of-squares
1×pow1 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
9.0ms
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

simplify32.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05043445

prune49.0ms

Filtered
22 candidates to 30 candidates (-36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New27330
Fresh000
Picked011
Done101
Total28432

Merged error: 0.0b

Counts
32 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ 1.0 x))
0.1b
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
22×add-exp-log add-cbrt-cube
17×add-sqr-sqrt times-frac
13×add-cube-cbrt
9×associate-/r*
8×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×associate-/r/ distribute-lft-out associate-/l*
2×pow1 frac-2neg clear-num div-inv distribute-lft-out-- add-log-exp difference-of-squares
1×flip3-- flip3-+ associate-*l/ flip-- flip-+ associate-/l/
Counts
2 → 67
Calls
2 calls:
5.0ms
(/ 1.0 (+ 1.0 x))
12.0ms
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))

series7.0ms

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

simplify37.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05200858

prune88.0ms

Filtered
49 candidates to 73 candidates (-49.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh022
Picked011
Done011
Total72577

Merged error: 0.0b

Counts
77 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
15.5b
(cbrt (- (* x x) (* 1.0 1.0)))
15.5b
(cbrt (- (* x x) (* 1.0 1.0)))
15.5b
(cbrt (- (* x x) (* 1.0 1.0)))

rewrite25.0ms

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:
12.0ms
(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
4.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
4.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
4.0ms
(cbrt (- (* x x) (* 1.0 1.0)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 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)))
14.0ms
(cbrt (- (* x x) (* 1.0 1.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
052041364

prune203.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh022
Picked011
Done022
Total83588

Merged error: 0.0b

Counts
88 → 5

regimes33.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02213
12213

end0.0ms

sample550.0ms

Algorithm
intervals
Results
205.0ms2002×body640valid
118.0ms4128×body80valid
99.0ms1226×body320valid
36.0ms644×body160valid

Profiling

Loading profile data...