Details

Time bar (total: 2.4s)

sample19.0ms

Algorithm
intervals
Results
5.0ms63×body640valid
3.0ms127×body80valid
3.0ms42×body320valid
1.0ms24×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1155
2155

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
2.8b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite62.0ms

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 → 102
Calls
3 calls:
5.0ms
(/ 1.0 (+ x 1.0))
5.0ms
(/ 1.0 (- x 1.0))
48.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series233.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ 1.0 (+ x 1.0))
33.0ms
(/ 1.0 (- x 1.0))
175.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0387679
11331648
25001644

prune198.0ms

Filtered
111 candidates to 78 candidates (70.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.2b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.9b
(- (- x 1.0) (+ x 1.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
17×add-log-exp
14×add-sqr-sqrt
12×add-cube-cbrt times-frac
7×diff-log
6×distribute-lft-out-- difference-of-squares
5×add-exp-log flip3-- add-cbrt-cube flip--
4×associate-/r* frac-sub
3×pow1 sub-neg associate-/l*
2×flip3-+ associate--l+ sum-log associate-/r/ flip-+ distribute-lft-out
1×cbrt-undiv associate--l- frac-2neg div-exp clear-num div-inv associate--r+
Counts
3 → 74
Calls
3 calls:
2.0ms
(- (* x x) (* 1.0 1.0))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
22.0ms
(- (- x 1.0) (+ x 1.0))

series103.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (* x x) (* 1.0 1.0))
46.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
11.0ms
(- (- x 1.0) (+ x 1.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0413559
12021517
25002515

prune176.0ms

Filtered
83 candidates to 61 candidates (73.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.2b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×difference-of-squares
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 46
Calls
2 calls:
2.0ms
(- (* x x) (* 1.0 1.0))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (* x x) (* 1.0 1.0))
53.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify199.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0221357
1903328
24677323
35002323

prune115.0ms

Filtered
52 candidates to 42 candidates (80.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
160×*-un-lft-identity
116×add-sqr-sqrt
78×add-cube-cbrt
22×distribute-lft-out
21×associate-/l*
19×distribute-lft-out-- difference-of-squares
16×associate-/r/
9×add-exp-log associate-/r* add-cbrt-cube
8×div-inv
7×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 163
Calls
2 calls:
5.0ms
(/ 1.0 (+ x 1.0))
15.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series98.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ 1.0 (+ x 1.0))
67.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06171491
128431443
250021443

prune319.0ms

Filtered
169 candidates to 113 candidates (66.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes16.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1176
2206
3226
4226

end0.0ms

sample484.0ms

Algorithm
intervals
Results
172.0ms1886×body640valid
102.0ms4196×body80valid
81.0ms1268×body320valid
28.0ms650×body160valid