Details

Time bar (total: 2.5s)

analyze451.0ms (17.8%)

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
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)

sample17.0ms (0.7%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
Compiler

Compiled 25 to 22 computations (12% saved)

simplify170.0ms (6.7%)

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: 37.3b

Counts
2 → 1
Compiler

Compiled 24 to 18 computations (25% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
0.0b
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
34.8b
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))

rewrite21.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
10×add-log-exp_binary64_17300
5×add-sqr-sqrt_binary64_17285
4×sum-log_binary64_17352 *-un-lft-identity_binary64_17264 pow1_binary64_17322 add-cube-cbrt_binary64_17296
3×add-cbrt-cube_binary64_17297 sqrt-prod_binary64_17279 flip-+_binary64_17238 add-exp-log_binary64_17299 flip3-+_binary64_17267
2×+-commutative_binary64_17196 sqrt-div_binary64_17280
1×pow1/2_binary64_17341 associate-+l+_binary64_17199 sqrt-pow1_binary64_17281 rem-sqrt-square_binary64_17277
Counts
3 → 39
Calls

3 calls:

7.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
7.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
5.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

series240.0ms (9.5%)

Counts
3 → 9
Calls

3 calls:

140.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
63.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
38.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

simplify67.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04946904
14946904

prune40.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New44448
Fresh000
Picked011
Done000
Total44549

Merged error: 18.0b

Counts
49 → 5
Compiler

Compiled 869 to 177 computations (79.6% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
34.8b
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
44.8b
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) 3))

rewrite35.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
18×cbrt-prod_binary64_17292
11×add-log-exp_binary64_17300 add-sqr-sqrt_binary64_17285
10×*-un-lft-identity_binary64_17264 add-cube-cbrt_binary64_17296
9×sqrt-prod_binary64_17279
6×cube-prod_binary64_17289 unpow-prod-down_binary64_17340
5×pow1_binary64_17322
4×add-cbrt-cube_binary64_17297 sqrt-div_binary64_17280 sum-log_binary64_17352 flip-+_binary64_17238 add-exp-log_binary64_17299 flip3-+_binary64_17267
2×cube-div_binary64_17290 +-commutative_binary64_17196 cbrt-div_binary64_17293
1×pow1/2_binary64_17341 associate-+l+_binary64_17199 pow1/3_binary64_17343 sqrt-pow1_binary64_17281 unpow3_binary64_17327 cube-mult_binary64_17291 sqr-pow_binary64_17236 rem-cbrt-cube_binary64_17287 rem-sqrt-square_binary64_17277
Counts
4 → 68
Calls

4 calls:

10.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) 3))
7.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
6.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
5.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

series381.0ms (15%)

Counts
4 → 12
Calls

4 calls:

142.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
134.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))) 3))
69.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
36.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

simplify69.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050191745

prune68.0ms (2.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New77380
Fresh033
Picked011
Done011
Total77885

Merged error: 18.0b

Counts
85 → 8
Compiler

Compiled 1651 to 393 computations (76.2% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.3%)

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: 18.0b

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

simplify7.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune1.0ms (0%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done033
Total088

Merged error: 18.0b

Counts
8 → 8
Compiler

Compiled 0 to 0 computations (0% saved)

regimes233.0ms (9.2%)

Compiler

Compiled 709 to 743 computations (-4.8% saved)

bsearch39.0ms (1.5%)

Steps
ItersRangePoint
9
3.534305620202988e+121
5.737537404911292e+128
1.2830528115639911e+128
11
-2.7798223779035797e+140
-4.758128877451391e+111
-1.3228887431998753e+134
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02734
12734

end0.0ms (0%)

sample666.0ms (26.2%)

Algorithm
1×intervals
Results
312.0ms8000×body128valid
Compiler

Compiled 103 to 95 computations (7.8% saved)

Profiling

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