Details

Time bar (total: 900.0ms)

analyze4.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1125
2125

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
11×distribute-lft-out
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×associate-/r/ difference-of-squares
3×pow1
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×+-commutative flip3-- frac-add sum-log flip--
Counts
3 → 87
Calls
3 calls:
5.0ms
(/ x (+ x 1.0))
9.0ms
(/ 1.0 (- x 1.0))
22.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series12.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ x (+ x 1.0))
2.0ms
(/ 1.0 (- x 1.0))
6.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0379534
11365507
25001502

prune120.0ms

Filtered
70 candidates to 96 candidates (-37.1%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New95196
Fresh000
Picked101
Done000
Total96197

Merged error: 0b

Counts
97 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ x (+ x 1.0))
0.0b
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
0.0b
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
108×*-un-lft-identity
51×times-frac
34×add-sqr-sqrt
26×add-cube-cbrt
25×distribute-lft-out
10×distribute-lft-out--
9×add-exp-log associate-/r* add-cbrt-cube
8×unpow-prod-down cube-prod
6×associate-/l* add-log-exp
5×pow1
4×associate-/r/ difference-of-squares
3×cube-div pow-unpow flip3-+ flip-+
2×cbrt-undiv frac-2neg div-exp frac-add clear-num div-inv
1×+-commutative cube-mult pow-to-exp flip3-- pow-pow unpow3 pow-exp sum-log flip-- rem-cube-cbrt sqr-pow
Counts
4 → 123
Calls
4 calls:
5.0ms
(/ 1.0 (- x 1.0))
5.0ms
(/ x (+ x 1.0))
27.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
22.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series18.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1.0 (- x 1.0))
3.0ms
(/ x (+ x 1.0))
7.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
6.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0513858
12260808
25002804

prune178.0ms

Filtered
87 candidates to 135 candidates (-55.2%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1350135
Fresh000
Picked011
Done000
Total1351136

Merged error: 0b

Counts
136 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

analyze4.0ms

Algorithm
search

sample327.0ms

Algorithm
intervals
Results
241.0ms8000×body80valid

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