Details

Time bar (total: 2.9s)

analyze71.0ms (2.5%)

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
12.5%87.4%0.1%4
31.2%68.7%0.1%5
43.7%56.2%0.1%6
56.2%40.6%3.2%7
64%29.7%6.3%8
71%20.3%8.7%9
75.3%15.2%9.5%10
79%10.1%10.8%11
81.3%7.7%11%12
83.2%5%11.8%13
84.4%3.8%11.8%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify181.0ms (6.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
023810
123810

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0b
(*.f64 (+.f64 x 1) y)

rewrite17.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_9176 add-sqr-sqrt_binary64_9197
pow1_binary64_9234 add-exp-log_binary64_9211 add-cube-cbrt_binary64_9208 add-log-exp_binary64_9212 add-cbrt-cube_binary64_9209 associate-*l*_binary64_9119
associate-*r*_binary64_9118
associate-*l/_binary64_9121
unswap-sqr_binary64_9144 prod-exp_binary64_9222 cbrt-unprod_binary64_9206 sub-neg_binary64_9169 diff-log_binary64_9265 pow-prod-down_binary64_9244 flip-+_binary64_9150 *-commutative_binary64_9109 flip3-+_binary64_9179 distribute-lft-out_binary64_9129 flip--_binary64_9151 flip3--_binary64_9180
Counts
2 → 32
Calls

2 calls:

8.0ms
(*.f64 (+.f64 x 1) y)
7.0ms
(-.f64 (*.f64 (+.f64 x 1) y) x)

series70.0ms (2.4%)

Counts
2 → 6
Calls

2 calls:

39.0ms
(*.f64 (+.f64 x 1) y)
30.0ms
(-.f64 (*.f64 (+.f64 x 1) y) x)

simplify75.0ms (2.6%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05008440

prune33.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh000
Picked011
Done000
Total36339

Merged error: 0b

Counts
39 → 3
Compiler

Compiled 492 to 320 computations (35% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x x) 1)
0.0b
(-.f64 (/.f64 (*.f64 y (-.f64 (*.f64 x x) 1)) (-.f64 x 1)) x)
4.8b
(*.f64 y (-.f64 (*.f64 x x) 1))
7.8b
(/.f64 (*.f64 y (-.f64 (*.f64 x x) 1)) (-.f64 x 1))

rewrite51.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt_binary64_9197
18×*-un-lft-identity_binary64_9176
11×add-exp-log_binary64_9211 add-cbrt-cube_binary64_9209
difference-of-squares_binary64_9145
add-cube-cbrt_binary64_9208 add-log-exp_binary64_9212
associate-/r*_binary64_9122 times-frac_binary64_9182
associate-*r*_binary64_9118 pow1_binary64_9234
flip--_binary64_9151 flip3--_binary64_9180
associate-*r/_binary64_9120 sub-neg_binary64_9169 difference-of-sqr-1_binary64_9146
associate-*l*_binary64_9119 distribute-lft-out--_binary64_9130
associate-/r/_binary64_9124 prod-exp_binary64_9222 cbrt-unprod_binary64_9206 associate-/l/_binary64_9125 div-exp_binary64_9224 diff-log_binary64_9265 cbrt-undiv_binary64_9207
distribute-rgt-in_binary64_9128 clear-num_binary64_9175 unswap-sqr_binary64_9144 distribute-lft-in_binary64_9127 associate-/l*_binary64_9123 div-inv_binary64_9173 pow-prod-down_binary64_9244 *-commutative_binary64_9109 frac-2neg_binary64_9187
Counts
4 → 85
Calls

4 calls:

17.0ms
(-.f64 (/.f64 (*.f64 y (-.f64 (*.f64 x x) 1)) (-.f64 x 1)) x)
13.0ms
(/.f64 (*.f64 y (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
9.0ms
(*.f64 y (-.f64 (*.f64 x x) 1))
5.0ms
(-.f64 (*.f64 x x) 1)

series396.0ms (13.9%)

Counts
4 → 12
Calls

4 calls:

155.0ms
(/.f64 (*.f64 y (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
101.0ms
(-.f64 (/.f64 (*.f64 y (-.f64 (*.f64 x x) 1)) (-.f64 x 1)) x)
88.0ms
(*.f64 y (-.f64 (*.f64 x x) 1))
51.0ms
(-.f64 (*.f64 x x) 1)

simplify87.0ms (3%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049721312
149721312

prune82.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New96197
Fresh101
Picked011
Done011
Total973100

Merged error: 0b

Counts
100 → 3
Compiler

Compiled 1595 to 984 computations (38.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 1 (/.f64 (/.f64 1 (+.f64 x 1)) y)) x)
0.0b
(/.f64 1 (+.f64 x 1))
0.1b
(/.f64 (/.f64 1 (+.f64 x 1)) y)
0.2b
(/.f64 1 (/.f64 (/.f64 1 (+.f64 x 1)) y))

rewrite193.0ms (6.8%)

Algorithm
rewrite-expression-head
Rules
666×times-frac_binary64_9182
408×*-un-lft-identity_binary64_9176
325×add-sqr-sqrt_binary64_9197
295×add-cube-cbrt_binary64_9208
65×associate-/r*_binary64_9122
52×add-exp-log_binary64_9211 distribute-lft-out_binary64_9129
36×div-exp_binary64_9224
35×associate-/r/_binary64_9124
24×associate-/l*_binary64_9123 div-inv_binary64_9173
20×add-cbrt-cube_binary64_9209
17×flip-+_binary64_9150 flip3-+_binary64_9179
10×1-exp_binary64_9217 rec-exp_binary64_9223 cbrt-undiv_binary64_9207
difference-of-squares_binary64_9145
pow1_binary64_9234 add-log-exp_binary64_9212
clear-num_binary64_9175 frac-2neg_binary64_9187
pow-flip_binary64_9247 distribute-lft-out--_binary64_9130 inv-pow_binary64_9258
sub-neg_binary64_9169 associate-/l/_binary64_9125 diff-log_binary64_9265 flip--_binary64_9151 flip3--_binary64_9180
Counts
4 → 417
Calls

4 calls:

88.0ms
(-.f64 (/.f64 1 (/.f64 (/.f64 1 (+.f64 x 1)) y)) x)
23.0ms
(/.f64 1 (/.f64 (/.f64 1 (+.f64 x 1)) y))
11.0ms
(/.f64 (/.f64 1 (+.f64 x 1)) y)
6.0ms
(/.f64 1 (+.f64 x 1))

series123.0ms (4.3%)

Counts
4 → 12
Calls

4 calls:

44.0ms
(/.f64 1 (/.f64 (/.f64 1 (+.f64 x 1)) y))
32.0ms
(/.f64 (/.f64 1 (+.f64 x 1)) y)
30.0ms
(-.f64 (/.f64 1 (/.f64 (/.f64 1 (+.f64 x 1)) y)) x)
17.0ms
(/.f64 1 (+.f64 x 1))

simplify392.0ms (13.8%)

Algorithm
egg-herbie
Counts
429 → 429
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
049098567
149098567

prune596.0ms (20.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4290429
Fresh000
Picked011
Done022
Total4293432

Merged error: 0b

Counts
432 → 3
Compiler

Compiled 7929 to 5359 computations (32.4% saved)

regimes32.0ms (1.1%)

Compiler

Compiled 111 to 98 computations (11.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample408.0ms (14.3%)

Algorithm
intervals
Results
188.0ms7995×body128valid
2.0ms70×body128invalid
0.0msbody1024valid
0.0msbody512valid
Compiler

Compiled 46 to 41 computations (10.9% saved)

Profiling

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