Details

Time bar (total: 2.3s)

analyze325.0ms (14.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
36.7%60.1%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
57.6%31.1%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14

sample16.0ms (0.7%)

Algorithm
1×intervals
Results
7.0ms256×body80valid
0.0ms18×body80invalid

simplify13.0ms (0.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
03459
13459

prune6.0ms (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

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) y)
0.0b
(+ (* (- 1.0 x) y) (* x z))

rewrite13.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls

2 calls:

6.0ms
(+ (* (- 1.0 x) y) (* x z))
6.0ms
(* (- 1.0 x) y)

series12.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(+ (* (- 1.0 x) y) (* x z))
4.0ms
(* (- 1.0 x) y)

simplify51.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04979345
14979345

prune66.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite24.0ms (1.1%)

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))

series24.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

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

simplify47.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049561133
149561133

prune254.0ms (11.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done011
Total1134117

Merged error: 0.0b

Counts
117 → 4

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))

rewrite36.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls

4 calls:

16.0ms
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
6.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))

series181.0ms (8%)

Counts
4 → 12
Calls

4 calls:

65.0ms
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
42.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
38.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
36.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify54.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049521968
149521968

prune247.0ms (10.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done022
Total994103

Merged error: 0.0b

Counts
103 → 4

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+ (* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x)))) (* x z))
0.1b
(* y (sqrt (- 1.0 x)))
0.1b
(* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x))))

rewrite33.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
16×add-sqr-sqrt
14×sqrt-div
12×*-un-lft-identity
11×associate-*l* sqrt-prod
10×pow1 add-exp-log associate-*r/ add-cbrt-cube
9×associate-*r*
8×add-cube-cbrt
7×flip3-- flip--
5×add-log-exp
4×frac-times pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 68
Calls

3 calls:

13.0ms
(+ (* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x)))) (* x z))
11.0ms
(* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x))))
7.0ms
(* y (sqrt (- 1.0 x)))

series20.0ms (0.9%)

Counts
3 → 9
Calls

3 calls:

8.0ms
(* y (sqrt (- 1.0 x)))
8.0ms
(+ (* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x)))) (* x z))
5.0ms
(* (sqrt (- 1.0 x)) (* y (sqrt (- 1.0 x))))

simplify32.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
04959824
14959824

prune129.0ms (5.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New77077
Fresh000
Picked011
Done033
Total77481

Merged error: 0.0b

Counts
81 → 4

regimes206.0ms (9.1%)

Accuracy

Total 0.0b remaining (27.6%)

Threshold costs 0.0b (27.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1219

end0.0ms (0%)

sample434.0ms (19.2%)

Algorithm
1×intervals
Results
241.0ms8000×body80valid
18.0ms639×body80invalid

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