Details

Time bar (total: 3.1s)

analyze422.0ms (13.8%)

Algorithm
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
0%81.1%18.9%7
6.2%74.9%18.9%8
9.4%65.5%25.1%9
15.6%48.4%36%10
20.3%43.1%36.6%11
22.6%36%41.4%12
27.1%25.1%47.8%13
29.5%22.5%48%14
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample22.0ms (0.7%)

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms71×body80nan
1.0ms29×body80invalid
Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify184.0ms (6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (172.0ms)

IterNodesCost
0651515

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.8b

Counts
2 → 1
Compiler

Compiled 20 to 16 computations (20% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
1.8b
(-.f64 (*.f64 y y) (*.f64 z z))
21.9b
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))

rewrite18.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64
sqrt-prod_binary64
*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64
pow1_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
sqrt-div_binary64
flip3--_binary64 associate-*l*_binary64 difference-of-squares_binary64 flip--_binary64
associate-*r/_binary64 unswap-sqr_binary64
pow-prod-down_binary64 sub-neg_binary64 pow1/2_binary64 diff-log_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 prod-exp_binary64 *-commutative_binary64
Counts
3 → 53
Calls

3 calls:

8.0ms
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
4.0ms
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
4.0ms
(-.f64 (*.f64 y y) (*.f64 z z))

series34.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

20.0ms
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
8.0ms
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
6.0ms
(-.f64 (*.f64 y y) (*.f64 z z))

simplify63.0ms (2.1%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04998924
14998924

prune42.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New58462
Fresh000
Picked011
Done000
Total58563

Merged error: 0.0b

Counts
63 → 5
Compiler

Compiled 972 to 236 computations (75.7% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.8b
(-.f64 (*.f64 y y) (*.f64 z z))
1.8b
(-.f64 (*.f64 y y) (*.f64 z z))
22.8b
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
22.8b
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))

rewrite19.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64 cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
cbrt-div_binary64 pow1_binary64 flip3--_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64 flip--_binary64
sub-neg_binary64 diff-log_binary64 pow1/3_binary64
Counts
4 → 52
Calls

4 calls:

5.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
4.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
4.0ms
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
4.0ms
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))

series57.0ms (1.9%)

Counts
4 → 12
Calls

4 calls:

22.0ms
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
22.0ms
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
6.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
6.0ms
(-.f64 (*.f64 y y) (*.f64 z z))

simplify92.0ms (3%)

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
048421030
148421030

prune41.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh033
Picked011
Done011
Total63669

Merged error: 0.0b

Counts
69 → 6
Compiler

Compiled 1728 to 370 computations (78.6% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 y z))
0.6b
(cbrt.f64 (-.f64 y z))
1.8b
(-.f64 (*.f64 y y) (*.f64 z z))
22.8b
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))

rewrite19.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod_binary64
11×*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
cbrt-div_binary64 add-log-exp_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
flip3--_binary64 pow1/3_binary64 difference-of-squares_binary64 flip--_binary64
flip3-+_binary64 sub-neg_binary64 diff-log_binary64 distribute-lft-out_binary64 distribute-lft-out--_binary64 flip-+_binary64
Counts
4 → 55
Calls

4 calls:

6.0ms
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
4.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
3.0ms
(cbrt.f64 (-.f64 y z))
3.0ms
(cbrt.f64 (+.f64 y z))

series82.0ms (2.7%)

Counts
4 → 12
Calls

4 calls:

29.0ms
(cbrt.f64 (+.f64 y z))
25.0ms
(cbrt.f64 (-.f64 y z))
22.0ms
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
6.0ms
(-.f64 (*.f64 y y) (*.f64 z z))

simplify59.0ms (1.9%)

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05363962

prune48.0ms (1.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New66167
Fresh033
Picked011
Done022
Total66773

Merged error: 0b

Counts
73 → 7
Compiler

Compiled 1892 to 468 computations (75.3% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 y z))
0.5b
(cbrt.f64 (+.f64 y z))
0.6b
(cbrt.f64 (-.f64 y z))
0.6b
(cbrt.f64 (-.f64 y z))

rewrite15.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64
16×*-un-lft-identity_binary64
12×add-sqr-sqrt_binary64
cbrt-div_binary64 add-cube-cbrt_binary64
add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
flip3-+_binary64 flip3--_binary64 distribute-lft-out_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64 flip-+_binary64
Counts
4 → 58
Calls

4 calls:

4.0ms
(cbrt.f64 (-.f64 y z))
3.0ms
(cbrt.f64 (-.f64 y z))
3.0ms
(cbrt.f64 (+.f64 y z))
3.0ms
(cbrt.f64 (+.f64 y z))

series112.0ms (3.7%)

Counts
4 → 12
Calls

4 calls:

31.0ms
(cbrt.f64 (+.f64 y z))
30.0ms
(cbrt.f64 (+.f64 y z))
26.0ms
(cbrt.f64 (-.f64 y z))
25.0ms
(cbrt.f64 (-.f64 y z))

simplify89.0ms (2.9%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04880868
14880868

prune37.0ms (1.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New70070
Fresh033
Picked011
Done033
Total70777

Merged error: 0b

Counts
77 → 7
Compiler

Compiled 2002 to 428 computations (78.6% saved)

regimes400.0ms (13.1%)

Compiler

Compiled 946 to 690 computations (27.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02737
12737

end0.0ms (0%)

sample1.1s (37.4%)

Algorithm
intervals
Results
292.0ms8000×body80valid
62.0ms1834×body80nan
25.0ms712×body80invalid
Compiler

Compiled 147 to 103 computations (29.9% saved)

Profiling

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