Details

Time bar (total: 3.0s)

sample21.0ms

Algorithm
intervals
Results
8.0ms60×body640valid
3.0ms133×body80valid
3.0ms46×body320valid
1.0ms17×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0125
1155
2155

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
2.1b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
662×*-un-lft-identity
589×times-frac
496×add-sqr-sqrt
378×prod-diff
368×add-cube-cbrt
86×associate-/r/
79×distribute-lft-out--
76×distribute-lft-out
62×difference-of-squares
44×div-inv
24×flip-+
23×flip3-+
21×flip--
20×flip3--
18×fma-neg
associate-/r*
add-exp-log add-cbrt-cube
associate-/l*
add-log-exp
pow1 expm1-log1p-u log1p-expm1-u
cbrt-undiv frac-2neg div-exp clear-num
sub-neg diff-log frac-sub
Counts
3 → 504
Calls
3 calls:
5.0ms
(/ 1.0 (+ x 1.0))
5.0ms
(/ 1.0 (- x 1.0))
67.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series231.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ 1.0 (+ x 1.0))
30.0ms
(/ 1.0 (- x 1.0))
176.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify169.0ms

Algorithm
egg-herbie
Counts
513 → 513
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0120013350
135939620
250019568

prune697.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.7b
(- (- x 1.0) (+ x 1.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
39×add-sqr-sqrt
29×prod-diff
27×add-cube-cbrt
14×add-log-exp
12×times-frac
11×associate--l+ distribute-lft-out--
10×difference-of-squares
distribute-lft-out
diff-log
fma-neg
add-exp-log flip3-- associate-/r* frac-sub add-cbrt-cube flip--
associate-/l*
pow1 expm1-log1p-u sub-neg flip3-+ sum-log associate-/r/ flip-+ log1p-expm1-u
cbrt-undiv associate--l- frac-2neg div-exp clear-num div-inv associate--r+
Counts
2 → 99
Calls
2 calls:
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
33.0ms
(- (- x 1.0) (+ x 1.0))

series56.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms
(- (- x 1.0) (+ x 1.0))

simplify96.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0500926
12870692
25001690

prune194.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-/r* difference-of-squares
add-exp-log add-cbrt-cube associate-/l*
associate-/r/
pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
9.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify188.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (183.0ms)

IterNodesCost
0201285
1842265
24566260
35001257

prune95.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

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))

rewrite35.0ms

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/
add-exp-log associate-/r* add-cbrt-cube
div-inv
flip3-+ flip-+
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
flip3-- flip-- associate-/l/
Counts
2 → 167
Calls
2 calls:
5.0ms
(/ 1.0 (+ x 1.0))
16.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series95.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 1.0 (+ x 1.0))
64.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06301505
129051457
250011455

prune326.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1176
2206
3226
4226

end0.0ms

sample466.0ms

Algorithm
intervals
Results
161.0ms1905×body640valid
106.0ms4244×body80valid
76.0ms1212×body320valid
27.0ms639×body160valid