Details

Time bar (total: 3.5s)

analyze290.0ms (8.4%)

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
25%74.9%0.1%6
49.9%49.9%0.1%7
56.2%43.7%0.1%8
56.2%43.7%0.1%9
71.8%28.1%0.1%10
76.5%23.4%0.1%11
76.5%23.4%0.1%12
85%14.8%0.1%13
87.8%12.1%0.1%14

sample56.0ms (1.6%)

Algorithm
1×intervals
Results
21.0ms46×body1280valid
11.0ms40×body640valid
9.0ms144×body80valid
4.0ms18×body320valid
1.0ms8×body160valid

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0119
1119

prune7.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (sin y)) (* z (cos y)))
0.1b
(* x (sin y))
0.1b
(* z (cos y))

rewrite12.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls

3 calls:

4.0ms
(+ (* x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))
4.0ms
(* x (sin y))

series29.0ms (0.8%)

Counts
3 → 9
Calls

3 calls:

15.0ms
(+ (* x (sin y)) (* z (cos y)))
7.0ms
(* x (sin y))
6.0ms
(* z (cos y))

simplify55.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05167396

prune102.0ms (2.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New48856
Fresh000
Picked101
Done000
Total49857

Merged error: 0.0b

Counts
57 → 8

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite12.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 73
Calls

4 calls:

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

series77.0ms (2.2%)

Counts
4 → 12
Calls

4 calls:

23.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
19.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
17.0ms
(cbrt (sin y))

simplify49.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04991490
14991490

prune129.0ms (3.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh167
Picked011
Done000
Total84993

Merged error: 0.0b

Counts
93 → 9

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite10.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 73
Calls

4 calls:

5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series90.0ms (2.6%)

Counts
4 → 12
Calls

4 calls:

26.0ms
(* (cbrt z) (cbrt z))
21.0ms
(cbrt z)
21.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify45.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05165356

prune135.0ms (3.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New82385
Fresh077
Picked011
Done011
Total821294

Merged error: 0.0b

Counts
94 → 12

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(* x (cbrt (pow (sin y) 2)))
0.3b
(* (* x (cbrt (pow (sin y) 2))) (cbrt (sin y)))
0.6b
(cbrt (sin y))
16.0b
(cbrt (pow (sin y) 2))

rewrite22.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
26×cbrt-prod
21×add-sqr-sqrt
17×associate-*r*
13×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log
7×unpow-prod-down add-cbrt-cube
5×unswap-sqr
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unpow2 sqr-pow
2×pow1/3 *-commutative
Counts
4 → 78
Calls

4 calls:

8.0ms
(* (* x (cbrt (pow (sin y) 2))) (cbrt (sin y)))
6.0ms
(* x (cbrt (pow (sin y) 2)))
2.0ms
(cbrt (pow (sin y) 2))
1.0ms
(cbrt (sin y))

series66.0ms (1.9%)

Counts
4 → 12
Calls

4 calls:

22.0ms
(cbrt (pow (sin y) 2))
19.0ms
(* x (cbrt (pow (sin y) 2)))
17.0ms
(cbrt (sin y))
7.0ms
(* (* x (cbrt (pow (sin y) 2))) (cbrt (sin y)))

simplify51.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05044695

prune138.0ms (4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh099
Picked011
Done022
Total9012102

Merged error: 0.0b

Counts
102 → 12

regimes252.0ms (7.3%)

Accuracy

Total 0.5b remaining (91.9%)

Threshold costs 0.5b (91.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01518
11518

end0.0ms (0%)

sample1.8s (51.4%)

Algorithm
1×intervals
Results
716.0ms1531×body1280valid
385.0ms1275×body640valid
286.0ms4230×body80valid
136.0ms645×body320valid
46.0ms319×body160valid

Profiling

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