Details

Time bar (total: 1.5s)

analyze37.0ms (2.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%74.9%0.1%4
43.7%56.2%0.1%5
46.8%53.1%0.1%6
78%21.9%0.1%7
82.7%17.2%0.1%8
89%10.9%0.1%9
91.3%8.6%0.1%10
94.4%5.5%0.1%11
95.6%4.3%0.1%12
97.2%2.7%0.1%13
97.8%2.1%0.1%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (1.1%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify46.0ms (3.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
066410
166410

prune2.0ms (0.1%)

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 (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (-.f64 x y) (-.f64 1 y))

rewrite14.0ms (1%)

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
30×times-frac_binary64
19×difference-of-squares_binary64
14×add-cube-cbrt_binary64
13×distribute-lft-out--_binary64
associate-/r*_binary64
associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l/_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64
add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
1 → 58
Calls

1 calls:

9.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))

series62.0ms (4.2%)

Counts
1 → 3
Calls

1 calls:

62.0ms
(/.f64 (-.f64 x y) (-.f64 1 y))

simplify48.0ms (3.2%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049711144
149711144

prune55.0ms (3.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New59261
Fresh000
Picked101
Done000
Total60262

Merged error: 0b

Counts
62 → 2
Compiler

Compiled 928 to 455 computations (51% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 1 y))
0.0b
(/.f64 x (-.f64 1 y))

rewrite19.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
36×times-frac_binary64
24×add-cube-cbrt_binary64
16×difference-of-squares_binary64
12×associate-/r*_binary64
distribute-lft-out--_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
associate-/r/_binary64
add-log-exp_binary64 pow1_binary64 flip3--_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64
Counts
2 → 82
Calls

2 calls:

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

series87.0ms (5.9%)

Counts
2 → 6
Calls

2 calls:

60.0ms
(/.f64 x (-.f64 1 y))
26.0ms
(/.f64 y (-.f64 1 y))

simplify62.0ms (4.2%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
052121246

prune76.0ms (5.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New88088
Fresh011
Picked011
Done000
Total88290

Merged error: 0b

Counts
90 → 2
Compiler

Compiled 1565 to 973 computations (37.8% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 1 (*.f64 y y))
0.1b
(*.f64 (/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y))) (+.f64 1 y))
17.3b
(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))

rewrite41.0ms (2.8%)

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt_binary64
63×*-un-lft-identity_binary64
51×times-frac_binary64
35×difference-of-squares_binary64
31×associate-*l*_binary64
27×add-cube-cbrt_binary64
11×distribute-lft-out--_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 associate-/l*_binary64
flip3--_binary64 associate-*r*_binary64 associate-/r/_binary64 flip--_binary64
flip3-+_binary64 associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64 frac-times_binary64
pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
3 → 122
Calls

3 calls:

17.0ms
(*.f64 (/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y))) (+.f64 1 y))
8.0ms
(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))
3.0ms
(-.f64 1 (*.f64 y y))

series272.0ms (18.6%)

Counts
3 → 9
Calls

3 calls:

108.0ms
(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))
102.0ms
(*.f64 (/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y))) (+.f64 1 y))
61.0ms
(-.f64 1 (*.f64 y y))

simplify78.0ms (5.3%)

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
065762602

prune123.0ms (8.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done011
Total1312133

Merged error: 0b

Counts
133 → 2
Compiler

Compiled 2725 to 1371 computations (49.7% saved)

regimes16.0ms (1.1%)

Compiler

Compiled 52 to 46 computations (11.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02716
12716

end0.0ms (0%)

sample389.0ms (26.6%)

Algorithm
intervals
Results
187.0ms7998×body128valid
0.0msbody512valid
Compiler

Compiled 43 to 37 computations (14% saved)

Profiling

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