Details

Time bar (total: 2.8s)

sample20.0ms

Algorithm
intervals
Results
6.0ms58×body640valid
4.0ms143×body80valid
3.0ms43×body320valid
1.0ms12×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1155
2155

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.6b

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))
2.2b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite96.0ms

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
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×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))
35.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series223.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ 1.0 (- x 1.0))
25.0ms
(/ 1.0 (+ x 1.0))
171.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify179.0ms

Algorithm
egg-herbie
Counts
513 → 513
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0120013350
135939620
250019568

prune616.0ms

Filtered
513 candidates to 209 candidates (40.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5094513
Fresh000
Picked101
Done000
Total5104514

Merged error: 0.6b

Counts
514 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.0b
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
1.7b
(- (- x 1.0) (+ x 1.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
33×add-sqr-sqrt
30×prod-diff
21×add-cube-cbrt
17×add-log-exp
11×associate--l+ distribute-lft-out--
9×difference-of-squares
8×add-exp-log flip3-- frac-sub add-cbrt-cube flip--
7×diff-log distribute-lft-out
6×fma-neg associate-*r/ associate-/l/
4×flip3-+ times-frac associate-/r* flip-+
3×pow1 expm1-log1p-u sub-neg log1p-expm1-u
2×cbrt-undiv div-exp sum-log associate-/r/
1×associate--l- frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* associate--r+
Counts
3 → 114
Calls
3 calls:
4.0ms
(- (* x x) (* 1.0 1.0))
19.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
11.0ms
(- (- x 1.0) (+ x 1.0))

series103.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (* x x) (* 1.0 1.0))
57.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
7.0ms
(- (- x 1.0) (+ x 1.0))

simplify111.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
05931128
13665844
25001841

prune193.0ms

Filtered
123 candidates to 82 candidates (66.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1212123
Fresh213
Picked101
Done000
Total1243127

Merged error: 0.6b

Counts
127 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.6b
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r* add-log-exp
3×difference-of-squares
2×pow1 cbrt-undiv expm1-log1p-u flip3-- div-exp associate-/r/ flip-- log1p-expm1-u
1×sub-neg frac-2neg fma-neg diff-log distribute-frac-neg prod-diff prod-exp clear-num distribute-rgt-neg-out cbrt-unprod div-inv associate-/l*
Counts
2 → 45
Calls
2 calls:
9.0ms
(- (* x x) (* 1.0 1.0))
7.0ms
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (* x x) (* 1.0 1.0))
53.0ms
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0285362
11384309
25002306

prune89.0ms

Filtered
51 candidates to 41 candidates (80.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New48351
Fresh112
Picked011
Done000
Total49554

Merged error: 0.0b

Counts
54 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1.0 (- 2.0)) (+ x 1.0))
0.1b
(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
65×*-un-lft-identity
49×add-sqr-sqrt
27×add-cube-cbrt
16×add-exp-log associate-/r/ add-cbrt-cube
11×associate-/l* distribute-lft-out-- difference-of-squares
9×associate-/r*
8×div-inv distribute-lft-out
7×cbrt-undiv flip3-+ div-exp flip-+
3×distribute-frac-neg
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num distribute-rgt-neg-out cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 115
Calls
2 calls:
7.0ms
(/ (* 1.0 (- 2.0)) (+ x 1.0))
12.0ms
(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

series102.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* 1.0 (- 2.0)) (+ x 1.0))
69.0ms
(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
05861138
130571058
250011058

prune187.0ms

Filtered
121 candidates to 86 candidates (71.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1183121
Fresh123
Picked101
Done011
Total1206126

Merged error: 0.0b

Counts
126 → 6

regimes19.0ms

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

sample559.0ms

Algorithm
intervals
Results
206.0ms1947×body640valid
120.0ms4237×body80valid
101.0ms1207×body320valid
35.0ms609×body160valid