Details

Time bar (total: 2.0s)

sample19.0ms

Algorithm
intervals
Results
5.0ms53×body640valid
4.0ms137×body80valid
3.0ms43×body320valid
1.0ms23×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.2b

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))
4.0b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite39.0ms

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
associate-/r*
difference-of-squares
add-exp-log add-cbrt-cube
associate-/r/ associate-/l*
add-log-exp
div-inv
pow1 flip--
cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-+
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))
25.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series221.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ 1.0 (- x 1.0))
24.0ms
(/ 1.0 (+ x 1.0))
169.0ms
(- (/ 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
25001642

prune181.0ms

Filtered
111 candidates to 78 candidates (70.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1074111
Fresh000
Picked101
Done000
Total1084112

Merged error: 0.4b

Counts
112 → 4

localize12.0ms

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)))
3.4b
(- (- x 1.0) (+ x 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity add-log-exp
add-exp-log flip3-- frac-sub add-cbrt-cube flip--
add-sqr-sqrt diff-log
associate-*r/ associate-/l/ distribute-lft-out--
add-cube-cbrt
flip3-+ times-frac associate-/r* flip-+ difference-of-squares
pow1 sub-neg
cbrt-undiv div-exp associate--l+ sum-log associate-/r/ distribute-lft-out
associate--l- frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* associate--r+
Counts
3 → 72
Calls
3 calls:
3.0ms
(- (* x x) (* 1.0 1.0))
16.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
9.0ms
(- (- x 1.0) (+ x 1.0))

series99.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (* x x) (* 1.0 1.0))
53.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
7.0ms
(- (- x 1.0) (+ x 1.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0471660
12732582
25002579

prune139.0ms

Filtered
81 candidates to 59 candidates (72.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New77481
Fresh303
Picked101
Done000
Total81485

Merged error: 0.4b

Counts
85 → 4

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.5b
(/ (* 1.0 (neg 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r* add-log-exp
difference-of-squares
pow1 cbrt-undiv flip3-- div-exp associate-/r/ flip--
sub-neg frac-2neg diff-log distribute-frac-neg prod-exp clear-num distribute-rgt-neg-out cbrt-unprod div-inv associate-/l*
Counts
2 → 39
Calls
2 calls:
3.0ms
(- (* x x) (* 1.0 1.0))
7.0ms
(/ (* 1.0 (neg 2.0)) (- (* x x) (* 1.0 1.0)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* x x) (* 1.0 1.0))
51.0ms
(/ (* 1.0 (neg 2.0)) (- (* x x) (* 1.0 1.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0270337
11322286
25001282

prune84.0ms

Filtered
45 candidates to 35 candidates (77.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New41445
Fresh213
Picked011
Done000
Total43649

Merged error: 0.0b

Counts
49 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1.0 (neg 2.0)) (+ x 1.0))
0.1b
(/ (/ (* 1.0 (neg 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
associate-/r*
div-inv distribute-lft-out
cbrt-undiv flip3-+ div-exp flip-+
distribute-frac-neg
pow1 frac-2neg prod-exp clear-num distribute-rgt-neg-out cbrt-unprod add-log-exp
flip3-- flip-- associate-/l/
Counts
2 → 111
Calls
2 calls:
7.0ms
(/ (* 1.0 (neg 2.0)) (+ x 1.0))
16.0ms
(/ (/ (* 1.0 (neg 2.0)) (+ x 1.0)) (- x 1.0))

series96.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* 1.0 (neg 2.0)) (+ x 1.0))
71.0ms
(/ (/ (* 1.0 (neg 2.0)) (+ x 1.0)) (- x 1.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05711119
130061036
250011036

prune167.0ms

Filtered
117 candidates to 83 candidates (70.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh134
Picked011
Done011
Total1176123

Merged error: 0.0b

Counts
123 → 6

regimes20.0ms

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
1196
2226
3226

end0.0ms

sample523.0ms

Algorithm
intervals
Results
188.0ms1925×body640valid
114.0ms4197×body80valid
94.0ms1259×body320valid
34.0ms619×body160valid

Profiling

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