Details

Time bar (total: 784.0ms)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%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

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
052311
152311

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: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
27×times-frac
21×add-cube-cbrt
9×associate-/r*
6×add-exp-log add-cbrt-cube associate-/l*
4×associate-/r/ distribute-lft-out distribute-lft-out-- difference-of-squares
2×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
1×flip3-- flip3-+ flip-- flip-+
Counts
2 → 70
Calls
2 calls:
5.0ms
(/ x (+ x 1.0))
5.0ms
(/ 1.0 (- x 1.0))

series5.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ x (+ x 1.0))
2.0ms
(/ 1.0 (- x 1.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04919695
14919695

prune92.0ms

Filtered
57 candidates to 76 candidates (-33.3%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New75176
Fresh000
Picked101
Done000
Total76177

Merged error: 0b

Counts
77 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.4b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
13.9b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
37×times-frac
35×add-sqr-sqrt
30×add-cube-cbrt
18×associate-*l*
12×add-exp-log add-cbrt-cube
8×associate-/r*
7×difference-of-squares
6×associate-/r/ associate-/l*
5×pow1 distribute-lft-out
4×associate-*r*
3×cbrt-undiv flip3-+ div-exp flip-+ div-inv add-log-exp
2×frac-times flip3-- frac-2neg associate-*r/ prod-exp clear-num flip-- cbrt-unprod unswap-sqr
1×distribute-rgt-in distribute-lft-in pow-prod-down associate-*l/ *-commutative
Counts
3 → 110
Calls
3 calls:
5.0ms
(/ x (+ x 1.0))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
12.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series10.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ x (+ x 1.0))
4.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
4.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049591350
149591350

prune161.0ms

Filtered
96 candidates to 119 candidates (-24.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1190119
Fresh000
Picked011
Done000
Total1191120

Merged error: 0b

Counts
120 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03119
13119

end0.0ms

sample307.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid

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