Details

Time bar (total: 5.3s)

analyze616.0ms (11.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
7.8%92%0.2%9
11.7%88.1%0.2%10
24.2%64.7%11.1%11
27.9%59.8%12.3%12
35%52.5%12.5%13
38.6%48.2%13.2%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.4%)

Algorithm
intervals
Results
8.0ms256×body128valid
2.0ms52×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify174.0ms (3.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03013
13013

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) z)
0.0b
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
0.1b
(*.f64 (+.f64 (*.f64 x y) z) y)

rewrite24.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_2809 add-sqr-sqrt_binary64_2794
add-exp-log_binary64_2808 pow1_binary64_2831 add-cube-cbrt_binary64_2805 add-cbrt-cube_binary64_2806 *-un-lft-identity_binary64_2773
flip3-+_binary64_2776 associate-*l*_binary64_2716 associate-*r*_binary64_2715 flip-+_binary64_2747
sum-log_binary64_2861 +-commutative_binary64_2705 associate-*l/_binary64_2718
cbrt-unprod_binary64_2803 pow-prod-down_binary64_2841 unswap-sqr_binary64_2741 *-commutative_binary64_2706 prod-exp_binary64_2819
Counts
3 → 42
Calls

3 calls:

9.0ms
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
8.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
5.0ms
(+.f64 (*.f64 x y) z)

series254.0ms (4.8%)

Counts
3 → 9
Calls

3 calls:

133.0ms
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
75.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
46.0ms
(+.f64 (*.f64 x y) z)

simplify55.0ms (1%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05040719

prune47.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New44751
Fresh000
Picked011
Done000
Total44852

Merged error: 0b

Counts
52 → 8
Compiler

Compiled 887 to 234 computations (73.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))

rewrite37.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_2801
23×add-sqr-sqrt_binary64_2794
18×cbrt-div_binary64_2802
15×add-cube-cbrt_binary64_2805 *-un-lft-identity_binary64_2773
11×pow1_binary64_2831
flip3-+_binary64_2776 pow1/3_binary64_2852 flip-+_binary64_2747
swap-sqr_binary64_2740 add-exp-log_binary64_2808 associate-*l*_binary64_2716 associate-*r*_binary64_2715
unswap-sqr_binary64_2741 add-cbrt-cube_binary64_2806 add-log-exp_binary64_2809 frac-times_binary64_2783
pow-sqr_binary64_2746 pow-prod-down_binary64_2841 associate-*r/_binary64_2717 associate-*l/_binary64_2718 pow-prod-up_binary64_2840
cbrt-unprod_binary64_2803 *-commutative_binary64_2706 pow2_binary64_2851 prod-exp_binary64_2819 pow-plus_binary64_2833
Counts
4 → 87
Calls

4 calls:

14.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

series853.0ms (16.1%)

Counts
4 → 12
Calls

4 calls:

260.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
207.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
194.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
192.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify60.0ms (1.1%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
052021777

prune107.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh066
Picked011
Done011
Total998107

Merged error: 0b

Counts
107 → 8
Compiler

Compiled 3060 to 760 computations (75.2% saved)

localize11.0ms (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)

rewrite19.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_2801
23×add-sqr-sqrt_binary64_2794
15×add-cube-cbrt_binary64_2805 *-un-lft-identity_binary64_2773
11×pow1_binary64_2831
pow1/3_binary64_2852
swap-sqr_binary64_2740 add-exp-log_binary64_2808 associate-*l*_binary64_2716 associate-*r*_binary64_2715
unswap-sqr_binary64_2741 add-cbrt-cube_binary64_2806 add-log-exp_binary64_2809
pow-sqr_binary64_2746 pow-prod-down_binary64_2841 pow-prod-up_binary64_2840
cbrt-unprod_binary64_2803 *-commutative_binary64_2706 pow2_binary64_2851 prod-exp_binary64_2819 pow-plus_binary64_2833
Counts
4 → 73
Calls

4 calls:

9.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series668.0ms (12.6%)

Counts
4 → 12
Calls

4 calls:

180.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
168.0ms
(cbrt.f64 y)
165.0ms
(cbrt.f64 y)
155.0ms
(cbrt.f64 y)

simplify69.0ms (1.3%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04957563
14957563

prune73.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done022
Total85893

Merged error: 0b

Counts
93 → 8
Compiler

Compiled 1687 to 496 computations (70.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))

rewrite38.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_2801
23×add-sqr-sqrt_binary64_2794
18×cbrt-div_binary64_2802
15×add-cube-cbrt_binary64_2805 *-un-lft-identity_binary64_2773
11×pow1_binary64_2831
flip3-+_binary64_2776 pow1/3_binary64_2852 flip-+_binary64_2747
swap-sqr_binary64_2740 add-exp-log_binary64_2808 associate-*l*_binary64_2716 associate-*r*_binary64_2715
unswap-sqr_binary64_2741 add-cbrt-cube_binary64_2806 add-log-exp_binary64_2809 frac-times_binary64_2783
pow-sqr_binary64_2746 pow-prod-down_binary64_2841 associate-*r/_binary64_2717 associate-*l/_binary64_2718 pow-prod-up_binary64_2840
cbrt-unprod_binary64_2803 *-commutative_binary64_2706 pow2_binary64_2851 prod-exp_binary64_2819 pow-plus_binary64_2833
Counts
4 → 87
Calls

4 calls:

14.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

series887.0ms (16.7%)

Counts
4 → 12
Calls

4 calls:

265.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
212.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
209.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
201.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify60.0ms (1.1%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
052021777

prune103.0ms (1.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New99099
Fresh044
Picked011
Done033
Total998107

Merged error: 0b

Counts
107 → 8
Compiler

Compiled 2941 to 620 computations (78.9% saved)

regimes209.0ms (3.9%)

Compiler

Compiled 1990 to 1262 computations (36.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample894.0ms (16.8%)

Algorithm
intervals
Results
252.0ms8000×body128valid
57.0ms1845×body128invalid
Compiler

Compiled 344 to 221 computations (35.8% saved)

Profiling

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