Details

Time bar (total: 2.0s)

analyze80.0ms (4.1%)

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
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.7%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
0.0ms18×body128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify166.0ms (8.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01210
11210

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.5b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

10.0b
(/.f64 x (*.f64 y y))

rewrite6.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
6×add-exp-log_binary64_7863 add-cbrt-cube_binary64_7861
3×add-sqr-sqrt_binary64_7849 times-frac_binary64_7834 associate-/l*_binary64_7775 add-cube-cbrt_binary64_7860 *-un-lft-identity_binary64_7828
2×cbrt-undiv_binary64_7859 div-exp_binary64_7876
1×div-inv_binary64_7825 pow1_binary64_7886 associate-/r*_binary64_7774 clear-num_binary64_7827 cbrt-unprod_binary64_7858 add-log-exp_binary64_7864 frac-2neg_binary64_7839 prod-exp_binary64_7874
Counts
1 → 21
Calls

1 calls:

5.0ms
(/.f64 x (*.f64 y y))

series37.0ms (1.9%)

Counts
1 → 3
Calls

1 calls:

37.0ms
(/.f64 x (*.f64 y y))

simplify108.0ms (5.5%)

Algorithm
1×egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
04760223
14760223

prune27.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New20424
Fresh000
Picked011
Done000
Total20525

Merged error: 0.0b

Counts
25 → 5
Compiler

Compiled 280 to 132 computations (52.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b
(/.f64 (/.f64 x y) y)

rewrite13.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
75×times-frac_binary64_7834
43×add-sqr-sqrt_binary64_7849 add-cube-cbrt_binary64_7860 *-un-lft-identity_binary64_7828
13×associate-/l*_binary64_7775
6×add-exp-log_binary64_7863 add-cbrt-cube_binary64_7861
5×div-inv_binary64_7825
3×associate-/r*_binary64_7774 cbrt-undiv_binary64_7859 div-exp_binary64_7876
1×pow1_binary64_7886 clear-num_binary64_7827 add-log-exp_binary64_7864 frac-2neg_binary64_7839 associate-/l/_binary64_7777
Counts
1 → 70
Calls

1 calls:

7.0ms
(/.f64 (/.f64 x y) y)

series35.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

35.0ms
(/.f64 (/.f64 x y) y)

simplify73.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049801069
149801069

prune56.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh033
Picked011
Done011
Total72678

Merged error: 0b

Counts
78 → 6
Compiler

Compiled 1059 to 450 computations (57.5% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))

rewrite17.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64_7849
25×times-frac_binary64_7834
23×add-exp-log_binary64_7863
17×*-un-lft-identity_binary64_7828
15×add-cube-cbrt_binary64_7860
13×add-cbrt-cube_binary64_7861 associate-*l*_binary64_7771 associate-*r*_binary64_7770
8×div-exp_binary64_7876 prod-exp_binary64_7874
6×unswap-sqr_binary64_7796
4×cbrt-undiv_binary64_7859 cbrt-unprod_binary64_7858
3×pow1_binary64_7886
2×rec-exp_binary64_7875 div-inv_binary64_7825 1-exp_binary64_7869
1×associate-*r/_binary64_7772 associate-*l/_binary64_7773 pow-prod-down_binary64_7896 *-commutative_binary64_7761 add-log-exp_binary64_7864 frac-times_binary64_7838
Counts
1 → 56
Calls

1 calls:

12.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

series31.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

31.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

simplify83.0ms (4.3%)

Algorithm
1×egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04927614
14927614

prune40.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh033
Picked011
Done022
Total59665

Merged error: 0b

Counts
65 → 6
Compiler

Compiled 772 to 354 computations (54.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 y (/.f64 x y))
0.8b
(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite58.0ms (3%)

Algorithm
1×rewrite-expression-head
Rules
471×times-frac_binary64_7834
229×add-sqr-sqrt_binary64_7849 add-cube-cbrt_binary64_7860 *-un-lft-identity_binary64_7828
57×associate-/r*_binary64_7774
28×add-exp-log_binary64_7863
22×div-inv_binary64_7825
18×div-exp_binary64_7876
16×add-cbrt-cube_binary64_7861
9×cbrt-undiv_binary64_7859
6×associate-/r/_binary64_7776 associate-/l*_binary64_7775
3×rec-exp_binary64_7875 pow1_binary64_7886 1-exp_binary64_7869
2×clear-num_binary64_7827 add-log-exp_binary64_7864 frac-2neg_binary64_7839
1×pow-flip_binary64_7899 inv-pow_binary64_7910
Counts
2 → 274
Calls

2 calls:

16.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
6.0ms
(/.f64 y (/.f64 x y))

series54.0ms (2.8%)

Counts
2 → 6
Calls

2 calls:

29.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
26.0ms
(/.f64 y (/.f64 x y))

simplify129.0ms (6.6%)

Algorithm
1×egg-herbie
Counts
280 → 280
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
048925163
148925163

prune210.0ms (10.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2800280
Fresh022
Picked011
Done033
Total2806286

Merged error: 0b

Counts
286 → 6
Compiler

Compiled 4694 to 1763 computations (62.4% saved)

regimes117.0ms (6%)

Compiler

Compiled 891 to 600 computations (32.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01710
11710

end0.0ms (0%)

sample582.0ms (29.7%)

Algorithm
1×intervals
Results
203.0ms8000×body128valid
13.0ms398×body128invalid
Compiler

Compiled 169 to 119 computations (29.6% saved)

Profiling

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