Details

Time bar (total: 3.0s)

analyze251.0ms (8.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%49.9%50.1%5
0%43.7%56.3%6
0%34.3%65.7%7
3.1%31.2%65.7%8
3.5%27.7%68.8%9
5.3%24.4%70.4%10
7.5%19.8%72.7%11
11.1%16.2%72.7%12
11.3%15.3%73.5%13
13.2%13%73.9%14

sample26.0ms (0.9%)

Algorithm
1×intervals
Results
13.0ms256×body80valid
1.0ms14×body80nan
0.0ms1×body80invalid

simplify191.0ms (6.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (189.0ms)

IterNodesCost
0635911

prune10.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(- (- (* x (log y)) y) z)
0.0b
(+ (- (- (* x (log y)) y) z) (log t))
0.0b
(- (* x (log y)) y)
0.2b
(* x (log y))

rewrite31.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
32×associate--l+
27×log-prod
25×*-un-lft-identity
19×add-sqr-sqrt
17×add-log-exp
15×add-cube-cbrt
12×distribute-rgt-in distribute-lft-in
9×pow1
8×associate-+l+
7×diff-log
6×add-exp-log add-cbrt-cube
5×sub-neg
4×associate-*r* distribute-lft-out
3×associate-+r+ associate-*l* sum-log log-pow distribute-lft-out--
2×flip3-- flip--
1×+-commutative associate--l- associate-+l- flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ difference-of-squares unswap-sqr
Counts
4 → 93
Calls

4 calls:

12.0ms
(+ (- (- (* x (log y)) y) z) (log t))
7.0ms
(- (- (* x (log y)) y) z)
4.0ms
(- (* x (log y)) y)
4.0ms
(* x (log y))

series38.0ms (1.2%)

Counts
4 → 12
Calls

4 calls:

13.0ms
(+ (- (- (* x (log y)) y) z) (log t))
10.0ms
(- (* x (log y)) y)
8.0ms
(- (- (* x (log y)) y) z)
7.0ms
(* x (log y))

simplify52.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05092985

prune143.0ms (4.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1014105
Fresh000
Picked011
Done000
Total1015106

Merged error: 0.0b

Counts
106 → 5

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite19.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
24×log-prod
18×cbrt-prod add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
12×distribute-rgt-in associate-+r+ distribute-lft-in
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 78
Calls

4 calls:

8.0ms
(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
5.0ms
(* x (log (cbrt y)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series87.0ms (2.9%)

Counts
4 → 12
Calls

4 calls:

25.0ms
(cbrt y)
21.0ms
(cbrt y)
21.0ms
(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
19.0ms
(* x (log (cbrt y)))

simplify61.0ms (2%)

Algorithm
1×egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04951620
14951620

prune130.0ms (4.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh033
Picked011
Done011
Total90595

Merged error: 0.0b

Counts
95 → 5

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (log y))) (cbrt (* x (log y))))
0.6b
(cbrt (* x (log y)))
0.6b
(cbrt (* x (log y)))
0.6b
(cbrt (* x (log y)))

rewrite14.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls

4 calls:

5.0ms
(* (cbrt (* x (log y))) (cbrt (* x (log y))))
3.0ms
(cbrt (* x (log y)))
3.0ms
(cbrt (* x (log y)))
2.0ms
(cbrt (* x (log y)))

series94.0ms (3.1%)

Counts
4 → 12
Calls

4 calls:

30.0ms
(* (cbrt (* x (log y))) (cbrt (* x (log y))))
23.0ms
(cbrt (* x (log y)))
21.0ms
(cbrt (* x (log y)))
21.0ms
(cbrt (* x (log y)))

simplify135.0ms (4.5%)

Algorithm
1×egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (130.0ms)

IterNodesCost
04974412
14974412

prune121.0ms (4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh022
Picked011
Done022
Total70575

Merged error: 0.0b

Counts
75 → 5

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (log y)) (cbrt (log y)))
0.5b
(cbrt (log y))
0.5b
(cbrt (log y))
0.5b
(cbrt (log y))

rewrite13.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
36×cbrt-prod
23×add-sqr-sqrt
20×pow1
17×*-un-lft-identity
15×add-cube-cbrt
9×pow1/3 swap-sqr log-pow
7×associate-*r* associate-*l*
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls

4 calls:

6.0ms
(* (cbrt (log y)) (cbrt (log y)))
1.0ms
(cbrt (log y))
1.0ms
(cbrt (log y))
1.0ms
(cbrt (log y))

series144.0ms (4.8%)

Counts
4 → 12
Calls

4 calls:

39.0ms
(* (cbrt (log y)) (cbrt (log y)))
36.0ms
(cbrt (log y))
35.0ms
(cbrt (log y))
34.0ms
(cbrt (log y))

simplify54.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04922500
14922500

prune113.0ms (3.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done033
Total93598

Merged error: 0.0b

Counts
98 → 5

regimes545.0ms (18%)

Accuracy

Total 0.1b remaining (69.2%)

Threshold costs 0.1b (69.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03011
13011

end0.0ms (0%)

sample696.0ms (23%)

Algorithm
1×intervals
Results
451.0ms7998×body80valid
16.0ms371×body80nan
2.0ms35×body80invalid
0.0ms1×body1280valid
0.0ms1×body640valid

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