Details

Time bar (total: 1.6s)

analyze71.0ms (4.5%)

Algorithm
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 6 to 5 computations (16.7% saved)

sample16.0ms (1%)

Algorithm
intervals
Results
9.0ms256×body128valid
0.0ms13×body128invalid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify8.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
077
177

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.1b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.8b
(/.f64 x (*.f64 y y))

rewrite6.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 associate-/l*_binary64 times-frac_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
1 → 21
Calls

1 calls:

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

series34.0ms (2.1%)

Counts
1 → 3
Calls

1 calls:

34.0ms
(/.f64 x (*.f64 y y))

simplify107.0ms (6.8%)

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
04760223
14760223

prune26.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New18624
Fresh000
Picked101
Done000
Total19625

Merged error: 0.0b

Counts
25 → 6
Compiler

Compiled 243 to 89 computations (63.4% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
43×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
13×associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
div-inv_binary64
associate-/r*_binary64 cbrt-undiv_binary64 div-exp_binary64
associate-/l/_binary64 add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
Counts
1 → 70
Calls

1 calls:

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

series35.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

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

simplify75.0ms (4.7%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049801069
149801069

prune52.0ms (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New70373
Fresh145
Picked011
Done000
Total71879

Merged error: 0.0b

Counts
79 → 8
Compiler

Compiled 936 to 318 computations (66% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
25×times-frac_binary64
23×add-exp-log_binary64
17×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
13×associate-*r*_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
prod-exp_binary64 div-exp_binary64
unswap-sqr_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64
pow1_binary64
1-exp_binary64 rec-exp_binary64 div-inv_binary64
pow-prod-down_binary64 add-log-exp_binary64 associate-*r/_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
1 → 56
Calls

1 calls:

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

series32.0ms (2%)

Counts
1 → 3
Calls

1 calls:

32.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

simplify86.0ms (5.4%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04927614
14927614

prune35.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh066
Picked011
Done011
Total59867

Merged error: 0.0b

Counts
67 → 8
Compiler

Compiled 679 to 252 computations (62.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 y (/.f64 x y))
0.4b
(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite58.0ms (3.7%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64
229×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
57×associate-/r*_binary64
28×add-exp-log_binary64
22×div-inv_binary64
18×div-exp_binary64
16×add-cbrt-cube_binary64
cbrt-undiv_binary64
associate-/r/_binary64 associate-/l*_binary64
pow1_binary64 1-exp_binary64 rec-exp_binary64
add-log-exp_binary64 clear-num_binary64 frac-2neg_binary64
inv-pow_binary64 pow-flip_binary64
Counts
2 → 274
Calls

2 calls:

14.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
6.0ms
(/.f64 y (/.f64 x y))

series54.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

28.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
26.0ms
(/.f64 y (/.f64 x y))

simplify132.0ms (8.4%)

Algorithm
egg-herbie
Counts
280 → 280
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
048925163
148925163

prune181.0ms (11.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2791280
Fresh055
Picked011
Done022
Total2799288

Merged error: 0b

Counts
288 → 9
Compiler

Compiled 4134 to 1203 computations (70.9% saved)

regimes49.0ms (3.1%)

Compiler

Compiled 283 to 200 computations (29.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
157

end0.0ms (0%)

sample472.0ms (29.9%)

Algorithm
intervals
Results
174.0ms8000×body128valid
8.0ms387×body128invalid
Compiler

Compiled 107 to 77 computations (28% saved)

Profiling

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