Details

Time bar (total: 1.6s)

analyze3.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14

sample10.0ms (0.6%)

Algorithm
1×intervals
Results
5.0ms256×body80valid

simplify45.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
07817
17817

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls

1 calls:

7.0ms
(/ (+ x 1.0) (- 1.0 x))

series3.0ms (0.2%)

Counts
1 → 3
Calls

1 calls:

3.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify45.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05434556

prune88.0ms (5.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New43548
Fresh000
Picked101
Done000
Total44549

Merged error: 0b

Counts
49 → 5

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite33.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 associate-/l* add-log-exp
3×log-prod flip3-- flip-- div-inv
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 117
Calls

3 calls:

11.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))
10.0ms
(log (exp (/ (+ x 1.0) (- 1.0 x))))
7.0ms
(/ (+ x 1.0) (- 1.0 x))

series10.0ms (0.6%)

Counts
3 → 9
Calls

3 calls:

4.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))
3.0ms
(/ (+ x 1.0) (- 1.0 x))
3.0ms
(log (exp (/ (+ x 1.0) (- 1.0 x))))

simplify50.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
054151251

prune226.0ms (14.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1260126
Fresh044
Picked011
Done000
Total1265131

Merged error: 0b

Counts
131 → 5

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 x) (+ x 1.0))
0.0b
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

rewrite30.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls

2 calls:

11.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))
7.0ms
(/ (- 1.0 x) (+ x 1.0))

series5.0ms (0.3%)

Counts
2 → 6
Calls

2 calls:

3.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))
3.0ms
(/ (- 1.0 x) (+ x 1.0))

simplify65.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
057882481

prune298.0ms (18.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1800180
Fresh033
Picked011
Done011
Total1805185

Merged error: 0b

Counts
185 → 5

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.3b
(cbrt (- 1.0 x))
0.3b
(cbrt (- 1.0 x))
0.3b
(cbrt (- 1.0 x))

rewrite22.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls

4 calls:

10.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))

series27.0ms (1.7%)

Counts
4 → 12
Calls

4 calls:

8.0ms
(cbrt (- 1.0 x))
7.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
6.0ms
(cbrt (- 1.0 x))
6.0ms
(cbrt (- 1.0 x))

simplify48.0ms (3%)

Algorithm
1×egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049561133
149561133

prune247.0ms (15.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done022
Total1135118

Merged error: 0b

Counts
118 → 5

regimes61.0ms (3.9%)

Accuracy

Total 0.0b remaining (83.8%)

Threshold costs 0.0b (83.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0189
1189

end0.0ms (0%)

sample242.0ms (15.1%)

Algorithm
1×intervals
Results
153.0ms8000×body80valid

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