Details

Time bar (total: 3.4s)

analyze262.0ms (7.8%)

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
37.4%62.4%0.1%6
49.9%49.9%0.1%7
62.4%37.4%0.1%8
62.4%37.4%0.1%9
71.8%28.1%0.1%10
79.6%20.3%0.1%11
79.6%20.3%0.1%12
85%14.8%0.1%13
89.3%10.5%0.1%14

sample56.0ms (1.7%)

Algorithm
1×intervals
Results
20.0ms46×body1280valid
10.0ms34×body640valid
10.0ms147×body80valid
4.0ms19×body320valid
1.0ms10×body160valid

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01589
11589

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

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite16.0ms (0.5%)

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×sub-neg flip3-- diff-log flip--
Counts
3 → 47
Calls

3 calls:

7.0ms
(* x (cos y))
4.0ms
(* z (sin y))
4.0ms
(- (* x (cos y)) (* z (sin y)))

series31.0ms (0.9%)

Counts
3 → 9
Calls

3 calls:

16.0ms
(- (* x (cos y)) (* z (sin y)))
9.0ms
(* z (sin y))
7.0ms
(* x (cos y))

simplify37.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04868397
14868397

prune109.0ms (3.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New461056
Fresh000
Picked101
Done000
Total471057

Merged error: 0.0b

Counts
57 → 10

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.2b
(cbrt (cos y))
0.2b
(cbrt (cos y))
0.2b
(cbrt (cos 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 (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series78.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

25.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
19.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))

simplify45.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05025459

prune133.0ms (4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New84185
Fresh189
Picked101
Done000
Total86995

Merged error: 0.0b

Counts
95 → 9

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b
(* z (sin y))
0.2b
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b
(cbrt (cos y))
0.2b
(pow (cos y) 2)

rewrite18.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
22×add-exp-log
13×add-sqr-sqrt
12×prod-exp
11×add-cube-cbrt *-un-lft-identity
10×add-cbrt-cube
9×pow1 associate-*r*
6×cbrt-prod cbrt-unprod
5×pow-exp
4×associate-*l* add-log-exp
3×pow-to-exp unpow-prod-down pow-unpow
2×pow-prod-down *-commutative
1×pow-pow unpow1/3 pow1/3 unpow2 unswap-sqr sqr-pow
Counts
4 → 72
Calls

4 calls:

9.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms
(* z (sin y))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series33.0ms (1%)

Counts
4 → 12
Calls

4 calls:

16.0ms
(cbrt (cos y))
7.0ms
(* z (sin y))
7.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)

simplify56.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04903441
14903441

prune163.0ms (4.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New82284
Fresh088
Picked011
Done000
Total821193

Merged error: 0.0b

Counts
93 → 11

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 (0.4%)

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))

series78.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

22.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
20.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify50.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04991490
14991490

prune99.0ms (2.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh189
Picked011
Done011
Total841296

Merged error: 0.0b

Counts
96 → 12

regimes257.0ms (7.6%)

Accuracy

Total 0.2b remaining (85.5%)

Threshold costs 0.2b (85.5%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04317
14317

end0.0ms (0%)

sample1.8s (52.1%)

Algorithm
1×intervals
Results
716.0ms1539×body1280valid
365.0ms1251×body640valid
287.0ms4246×body80valid
130.0ms655×body320valid
43.0ms309×body160valid

Profiling

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