Details

Time bar (total: 3.1s)

analyze523.0ms (16.8%)

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
34.3%65.5%0.1%9
39%60.8%0.1%10
41.3%58.5%0.1%11
52.7%47.2%0.1%12
54%45.7%0.2%13
55.3%43.8%0.9%14
Compiler

Compiled 16 to 10 computations (37.5% saved)

sample30.0ms (1%)

Algorithm
1×intervals
Results
7.0ms184×body128valid
6.0ms21×body512valid
3.0ms22×body1024valid
3.0ms17×body2048valid
1.0ms35×body128invalid
1.0ms7×body1024invalid
1.0ms12×body256valid
1.0ms6×body512invalid
0.0ms5×body256invalid
Compiler

Compiled 31 to 22 computations (29% saved)

simplify394.0ms (12.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (232.0ms)

IterNodesCost
065077

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 30 to 24 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 y (-.f64 x z))

rewrite10.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
9×add-sqr-sqrt_binary64_14893
7×*-un-lft-identity_binary64_14871
6×cancel-sign-sub-inv_binary64_14837
5×associate-*r*_binary64_14811 add-cube-cbrt_binary64_14906
4×distribute-rgt-in_binary64_14821 distribute-lft-in_binary64_14820
3×add-exp-log_binary64_14909 pow1_binary64_14932 associate-*l*_binary64_14812 add-cbrt-cube_binary64_14907
2×associate-*r/_binary64_14813 sub-neg_binary64_14864
1×pow-prod-down_binary64_14942 add-log-exp_binary64_14910 flip3--_binary64_14875 distribute-lft-out--_binary64_14823 prod-exp_binary64_14920 cbrt-unprod_binary64_14904 unswap-sqr_binary64_14839 flip--_binary64_14846 difference-of-squares_binary64_14840 *-commutative_binary64_14802
Counts
1 → 30
Calls

1 calls:

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

series69.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

69.0ms
(*.f64 y (-.f64 x z))

simplify43.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04997314
14997314

prune21.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh000
Picked011
Done000
Total31334

Merged error: 0b

Counts
34 → 3
Compiler

Compiled 366 to 119 computations (67.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite17.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
25×cbrt-prod_binary64_14902
23×add-sqr-sqrt_binary64_14893
15×*-un-lft-identity_binary64_14871 add-cube-cbrt_binary64_14906
11×pow1_binary64_14932
9×pow1/3_binary64_14953
6×add-exp-log_binary64_14909 swap-sqr_binary64_14838 associate-*l*_binary64_14812 associate-*r*_binary64_14811
4×add-log-exp_binary64_14910 unswap-sqr_binary64_14839 add-cbrt-cube_binary64_14907
2×pow-prod-down_binary64_14942 pow-sqr_binary64_14844 pow-prod-up_binary64_14941
1×pow2_binary64_14952 prod-exp_binary64_14920 cbrt-unprod_binary64_14904 pow-plus_binary64_14934 *-commutative_binary64_14802
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series646.0ms (20.8%)

Counts
4 → 12
Calls

4 calls:

176.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
161.0ms
(cbrt.f64 y)
155.0ms
(cbrt.f64 y)
153.0ms
(cbrt.f64 y)

simplify56.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05245563

prune56.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388

Merged error: 0b

Counts
88 → 3
Compiler

Compiled 1290 to 355 computations (72.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (sqrt.f64 y) (*.f64 (-.f64 x z) (sqrt.f64 y)))
0.1b
(*.f64 (-.f64 x z) (sqrt.f64 y))

rewrite28.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_14893
11×associate-*l*_binary64_14812
9×add-exp-log_binary64_14909 *-un-lft-identity_binary64_14871 pow1_binary64_14932 add-cbrt-cube_binary64_14907
7×sqrt-prod_binary64_14887 associate-*r*_binary64_14811 add-cube-cbrt_binary64_14906
4×pow-prod-down_binary64_14942 prod-exp_binary64_14920 cbrt-unprod_binary64_14904 associate-*l/_binary64_14814
2×add-log-exp_binary64_14910 flip3--_binary64_14875 associate-*r/_binary64_14813 unswap-sqr_binary64_14839 flip--_binary64_14846 *-commutative_binary64_14802
1×distribute-lft-out--_binary64_14823 difference-of-squares_binary64_14840
Counts
2 → 49
Calls

2 calls:

12.0ms
(*.f64 (-.f64 x z) (sqrt.f64 y))
12.0ms
(*.f64 (sqrt.f64 y) (*.f64 (-.f64 x z) (sqrt.f64 y)))

series171.0ms (5.5%)

Counts
2 → 6
Calls

2 calls:

94.0ms
(*.f64 (-.f64 x z) (sqrt.f64 y))
78.0ms
(*.f64 (sqrt.f64 y) (*.f64 (-.f64 x z) (sqrt.f64 y)))

simplify52.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04989641
14989641

prune33.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New55055
Fresh000
Picked011
Done022
Total55358

Merged error: 0b

Counts
58 → 3
Compiler

Compiled 721 to 199 computations (72.4% saved)

regimes28.0ms (0.9%)

Compiler

Compiled 84 to 78 computations (7.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0177
1177

end0.0ms (0%)

sample912.0ms (29.3%)

Algorithm
1×intervals
Results
208.0ms5738×body128valid
117.0ms892×body1024valid
79.0ms490×body2048valid
53.0ms554×body512valid
49.0ms1325×body128invalid
27.0ms218×body1024invalid
27.0ms283×body512invalid
24.0ms326×body256valid
13.0ms207×body256invalid
Compiler

Compiled 52 to 43 computations (17.3% saved)

Profiling

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