Details

Time bar (total: 1.7s)

analyze4.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%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

sample20.0ms (1.2%)

Algorithm
1×intervals
Results
6.0ms61×body640valid
4.0ms130×body80valid
3.0ms40×body320valid
1.0ms25×body160valid

simplify42.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
064911
164911

prune9.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 16.4b

Counts
2 → 1

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
2.8b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite38.0ms (2.3%)

Algorithm
1×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
9×associate-/r*
8×difference-of-squares
7×add-exp-log add-cbrt-cube
6×associate-/r/ associate-/l*
5×add-log-exp
4×div-inv
3×pow1 flip--
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-+
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 101
Calls

3 calls:

24.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))
5.0ms
(/ 1.0 (+ x 1.0))

series12.0ms (0.7%)

Counts
3 → 9
Calls

3 calls:

8.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))
2.0ms
(/ 1.0 (+ x 1.0))
2.0ms
(/ 1.0 (- x 1.0))

simplify68.0ms (4%)

Algorithm
1×egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049051239
149051239

prune178.0ms (10.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1091110
Fresh000
Picked101
Done000
Total1101111

Merged error: 0.7b

Counts
111 → 1

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.7b
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

rewrite9.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp prod-exp cbrt-unprod
2×associate-/r/ difference-of-squares
1×pow1 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls

1 calls:

9.0ms
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

series4.0ms (0.2%)

Counts
1 → 3
Calls

1 calls:

4.0ms
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

simplify33.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05043445

prune55.0ms (3.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New28230
Fresh000
Picked011
Done000
Total28331

Merged error: 0.0b

Counts
31 → 3

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ 1.0 x))
0.1b
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))

rewrite20.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
25×*-un-lft-identity
22×add-exp-log add-cbrt-cube
17×add-sqr-sqrt times-frac
13×add-cube-cbrt
9×associate-/r*
8×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×associate-/r/ distribute-lft-out associate-/l*
2×pow1 frac-2neg clear-num div-inv distribute-lft-out-- add-log-exp difference-of-squares
1×flip3-- flip3-+ associate-*l/ flip-- flip-+ associate-/l/
Counts
2 → 67
Calls

2 calls:

13.0ms
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))
5.0ms
(/ 1.0 (+ 1.0 x))

series7.0ms (0.4%)

Counts
2 → 6
Calls

2 calls:

5.0ms
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))
2.0ms
(/ 1.0 (+ 1.0 x))

simplify40.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05200858

prune123.0ms (7.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New70373
Fresh011
Picked011
Done011
Total70676

Merged error: 0.0b

Counts
76 → 6

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x 1.0))
0.3b
(cbrt (- x 1.0))
0.3b
(cbrt (- x 1.0))
0.4b
(/ 1.0 (* (+ 1.0 x) (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))))

rewrite31.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
42×cbrt-div
28×frac-times
26×associate-/r/
21×flip3-- flip--
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
14×associate-*r/
13×add-exp-log
11×add-cbrt-cube
9×add-cube-cbrt flip3-+ flip-+
8×associate-*l/
4×pow1 add-log-exp
3×cbrt-undiv times-frac pow1/3 div-exp prod-exp cbrt-unprod associate-/l* distribute-lft-out-- difference-of-squares
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 94
Calls

4 calls:

17.0ms
(/ 1.0 (* (+ 1.0 x) (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))))
3.0ms
(cbrt (- x 1.0))
3.0ms
(cbrt (- x 1.0))
3.0ms
(cbrt (- x 1.0))

series43.0ms (2.6%)

Counts
4 → 12
Calls

4 calls:

20.0ms
(/ 1.0 (* (+ 1.0 x) (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))))
8.0ms
(cbrt (- x 1.0))
8.0ms
(cbrt (- x 1.0))
8.0ms
(cbrt (- x 1.0))

simplify43.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049461609
149461609

prune300.0ms (17.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1060106
Fresh033
Picked011
Done022
Total1066112

Merged error: 0.0b

Counts
112 → 6

regimes37.0ms (2.2%)

Accuracy

Total 0.1b remaining (86.1%)

Threshold costs 0.1b (86.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02213
12213

end0.0ms (0%)

sample535.0ms (31.7%)

Algorithm
1×intervals
Results
197.0ms1903×body640valid
117.0ms4260×body80valid
98.0ms1227×body320valid
31.0ms610×body160valid

Profiling

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