Details

Time bar (total: 11.4s)

analyze1.5s (13.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14
Compiler

Compiled 16 to 16 computations (0% saved)

sample55.0ms (0.5%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
10.0ms219×body128invalid
Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify90.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06722
16722

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 30 to 30 computations (0% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 z t))
0.0b
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))
0.0b
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))

rewrite22.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
19×add-log-exp_binary64_3868
10×sum-log_binary64_3920
3×flip3-+_binary64_3832 add-exp-log_binary64_3867 flip-+_binary64_3803 add-cbrt-cube_binary64_3865 add-cube-cbrt_binary64_3864 pow1_binary64_3890 *-un-lft-identity_binary64_3829 +-commutative_binary64_3759 add-sqr-sqrt_binary64_3851
2×associate-+l+_binary64_3762
Counts
3 → 38
Calls

3 calls:

9.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))
7.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z t))

series343.0ms (3%)

Counts
3 → 9
Calls

3 calls:

241.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))
62.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))
40.0ms
(+.f64 (*.f64 x y) (*.f64 z t))

simplify66.0ms (0.6%)

Algorithm
1×egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
052061004

prune38.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh000
Picked011
Done000
Total46248
Error
0.0b
Counts
48 → 2
Compiler

Compiled 1036 to 166 computations (84% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))
0.1b
(sqrt.f64 (+.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 c i)))
0.1b
(sqrt.f64 (+.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 c i)))
0.2b
(*.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 c i))) (sqrt.f64 (+.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 c i))))

rewrite57.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
30×add-sqr-sqrt_binary64_3851
24×sqrt-prod_binary64_3845
21×pow1_binary64_3890
16×sqrt-div_binary64_3846
14×add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
10×pow1/2_binary64_3909 sqrt-pow1_binary64_3847
9×flip3-+_binary64_3832 add-log-exp_binary64_3868 flip-+_binary64_3803
8×swap-sqr_binary64_3796
6×add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865 associate-*r*_binary64_3769 associate-*l*_binary64_3770
5×pow-prod-up_binary64_3899
4×unswap-sqr_binary64_3797 rem-sqrt-square_binary64_3842 frac-times_binary64_3839
3×pow-prod-down_binary64_3900 sum-log_binary64_3920 pow-sqr_binary64_3802
2×associate-*l/_binary64_3772 associate-*r/_binary64_3771
1×sqr-abs_binary64_3844 prod-exp_binary64_3878 associate-+r+_binary64_3761 rem-square-sqrt_binary64_3841 +-commutative_binary64_3759 *-commutative_binary64_3760 pow-plus_binary64_3892 cbrt-unprod_binary64_3862 pow2_binary64_3910 sqrt-unprod_binary64_3849
Counts
4 → 101
Calls

4 calls:

21.0ms
(*.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 c i))) (sqrt.f64 (+.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 c i))))
8.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 c i)))
8.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 c i)))
7.0ms
(+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))

series7.2s (63.4%)

Counts
4 → 12
Calls

4 calls:

3.5s
(sqrt.f64 (+.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 c i)))
3.4s
(sqrt.f64 (+.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 c i)))
255.0ms
(*.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 c i))) (sqrt.f64 (+.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) (*.f64 c i))))
67.0ms
(+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))

simplify56.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
058063824

prune97.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done011
Total1132115
Error
0.0b
Counts
115 → 2
Compiler

Compiled 4443 to 429 computations (90.3% saved)

regimes292.0ms (2.6%)

Accuracy

Total 0.0b remaining (19.6%)

Threshold costs 0.0b (19.6%)

Compiler

Compiled 2446 to 2288 computations (6.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02322
12322

end0.0ms (0%)

sample1.5s (13.3%)

Algorithm
1×intervals
Results
397.0ms8000×body128valid
274.0ms5479×body128invalid
Compiler

Compiled 187 to 173 computations (7.5% saved)

Profiling

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