Details

Time bar (total: 2.6s)

analyze450.0ms (17%)

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
12.5%87.4%0.1%7
18.7%81.1%0.1%8
28.1%71.8%0.1%9
42.1%57.7%0.1%10
49.1%50.7%0.1%11
57.3%42.5%0.1%12
66.9%33%0.1%13
71.7%28.2%0.1%14
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample18.0ms (0.7%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
Compiler

Compiled 25 to 22 computations (12% saved)

simplify8.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02018
12018

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 36.1b

Counts
2 → 1
Compiler

Compiled 24 to 18 computations (25% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
33.6b
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))

rewrite13.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
4×add-log-exp_binary64 add-sqr-sqrt_binary64
3×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
2×flip3-+_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64 sqrt-div_binary64
1×pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 +-commutative_binary64 sum-log_binary64
Counts
2 → 26
Calls

2 calls:

6.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

series180.0ms (6.8%)

Counts
2 → 6
Calls

2 calls:

145.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
36.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

simplify66.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04974566
14974566

prune40.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh000
Picked011
Done000
Total28533

Merged error: 17.0b

Counts
33 → 5
Compiler

Compiled 690 to 239 computations (65.4% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
0.0b
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) 3)
33.6b
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
41.6b
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) 3))

rewrite38.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
18×cbrt-prod_binary64
16×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
12×unpow-prod-down_binary64 cube-prod_binary64
7×pow1_binary64
6×add-log-exp_binary64 sqrt-div_binary64
5×add-exp-log_binary64 add-cbrt-cube_binary64
4×flip3-+_binary64 cube-div_binary64 flip-+_binary64
3×pow-unpow_binary64 pow-pow_binary64
2×cbrt-div_binary64 pow1/2_binary64 sqr-pow_binary64 sqrt-pow1_binary64 unpow3_binary64 cube-mult_binary64
1×pow-to-exp_binary64 rem-cbrt-cube_binary64 sqrt-pow2_binary64 pow1/3_binary64 rem-sqrt-square_binary64 rem-cube-cbrt_binary64 +-commutative_binary64 pow-exp_binary64 sum-log_binary64
Counts
4 → 89
Calls

4 calls:

9.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) 3))
9.0ms
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) 3)
6.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
5.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

series638.0ms (24.1%)

Counts
4 → 12
Calls

4 calls:

318.0ms
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) 3)
147.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) 3))
134.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
38.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

simplify71.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049302361
149302361

prune100.0ms (3.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New983101
Fresh033
Picked011
Done011
Total988106

Merged error: 17.0b

Counts
106 → 8
Compiler

Compiled 2276 to 613 computations (73.1% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune4.0ms (0.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New000
Fresh055
Picked011
Done022
Total088

Merged error: 17.0b

Counts
8 → 8
Compiler

Compiled 16 to 26 computations (-62.5% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms (0%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done033
Total088

Merged error: 17.0b

Counts
8 → 8
Compiler

Compiled 0 to 0 computations (0% saved)

regimes286.0ms (10.8%)

Compiler

Compiled 709 to 743 computations (-4.8% saved)

bsearch39.0ms (1.5%)

Steps
ItersRangePoint
10
7.776546098179918e+71
1.326040569404604e+88
5.4688210445355303e+79
9
-9.775720152426818e+120
-3.4245718694601445e+113
-9.086504443882129e+117
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02734
12734

end0.0ms (0%)

sample657.0ms (24.8%)

Algorithm
1×intervals
Results
311.0ms8000×body128valid
Compiler

Compiled 103 to 95 computations (7.8% saved)

Profiling

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