Details

Time bar (total: 1.6s)

analyze33.0ms (2.1%)

Algorithm
1×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%)

Algorithm
1×intervals
Results
11.0ms256×body128valid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify155.0ms (9.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01010
11010

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 y 1))

rewrite13.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
31×*-un-lft-identity_binary64_9513
16×times-frac_binary64_9519
11×add-cube-cbrt_binary64_9545 add-sqr-sqrt_binary64_9534
10×distribute-lft-out_binary64_9466
4×associate-/l*_binary64_9460 associate-/r*_binary64_9459
3×add-exp-log_binary64_9548 add-cbrt-cube_binary64_9546
2×flip3-+_binary64_9516 associate-/r/_binary64_9461 flip-+_binary64_9487 associate-/l/_binary64_9462
1×add-log-exp_binary64_9549 div-inv_binary64_9510 frac-2neg_binary64_9524 clear-num_binary64_9512 div-exp_binary64_9561 pow1_binary64_9571 cbrt-undiv_binary64_9544
Counts
1 → 40
Calls

1 calls:

10.0ms
(/.f64 (+.f64 x y) (+.f64 y 1))

series59.0ms (3.7%)

Counts
1 → 3
Calls

1 calls:

59.0ms
(/.f64 (+.f64 x y) (+.f64 y 1))

simplify61.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04959702
14959702

prune40.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41243
Fresh000
Picked011
Done000
Total41344

Merged error: 0b

Counts
44 → 3
Compiler

Compiled 611 to 325 computations (46.8% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite90.0ms (5.6%)

Algorithm
1×rewrite-expression-head
Rules
139×*-un-lft-identity_binary64_9513
120×times-frac_binary64_9519
116×add-sqr-sqrt_binary64_9534
79×sqrt-prod_binary64_9528
69×add-cube-cbrt_binary64_9545
34×associate-*r*_binary64_9455
32×add-exp-log_binary64_9548 distribute-lft-out_binary64_9466
27×associate-*l*_binary64_9456
20×add-cbrt-cube_binary64_9546
15×unswap-sqr_binary64_9481
14×associate-/r*_binary64_9459
11×div-exp_binary64_9561
10×sqrt-div_binary64_9529
9×pow1_binary64_9571
8×prod-exp_binary64_9559 associate-/r/_binary64_9461
7×associate-/l*_binary64_9460
6×flip3-+_binary64_9516 flip-+_binary64_9487 cbrt-undiv_binary64_9544
4×add-log-exp_binary64_9549 div-inv_binary64_9510 cbrt-unprod_binary64_9543
3×pow-flip_binary64_9584 1-exp_binary64_9554 rec-exp_binary64_9560
2×frac-2neg_binary64_9524 clear-num_binary64_9512 associate-/l/_binary64_9462 pow1/2_binary64_9590 sqrt-pow1_binary64_9530
1×pow-prod-down_binary64_9581 associate-*l/_binary64_9458 frac-times_binary64_9523 inv-pow_binary64_9595 *-commutative_binary64_9446 rem-sqrt-square_binary64_9526 associate-*r/_binary64_9457
Counts
4 → 222
Calls

4 calls:

38.0ms
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1))))
11.0ms
(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1)))
7.0ms
(/.f64 1 (sqrt.f64 (+.f64 y 1)))
4.0ms
(sqrt.f64 (+.f64 y 1))

series208.0ms (12.9%)

Counts
4 → 12
Calls

4 calls:

108.0ms
(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1)))
40.0ms
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1))))
34.0ms
(/.f64 1 (sqrt.f64 (+.f64 y 1)))
25.0ms
(sqrt.f64 (+.f64 y 1))

simplify100.0ms (6.2%)

Algorithm
1×egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049624428
149624428

prune275.0ms (17%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2340234
Fresh011
Picked011
Done011
Total2343237

Merged error: 0b

Counts
237 → 3
Compiler

Compiled 4964 to 3283 computations (33.9% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
10×*-un-lft-identity_binary64_9513
8×add-sqr-sqrt_binary64_9534
6×add-log-exp_binary64_9549
4×distribute-lft-out--_binary64_9467
3×difference-of-squares_binary64_9482
2×diff-log_binary64_9602 div-inv_binary64_9510 frac-sub_binary64_9522 times-frac_binary64_9519 distribute-lft-out_binary64_9466
1×flip3-+_binary64_9516 add-cube-cbrt_binary64_9545 add-exp-log_binary64_9548 sum-log_binary64_9601 sub-neg_binary64_9506 associate--l+_binary64_9452 add-cbrt-cube_binary64_9546 flip-+_binary64_9487 flip3--_binary64_9517 flip--_binary64_9488 pow1_binary64_9571
Counts
1 → 22
Calls

1 calls:

15.0ms
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))

series24.0ms (1.5%)

Counts
1 → 3
Calls

1 calls:

24.0ms
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))

simplify66.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05299518

prune19.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New25025
Fresh000
Picked011
Done022
Total25328

Merged error: 0b

Counts
28 → 3
Compiler

Compiled 401 to 241 computations (39.9% saved)

regimes28.0ms (1.7%)

Compiler

Compiled 111 to 101 computations (9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01010
11010

end0.0ms (0%)

sample382.0ms (23.7%)

Algorithm
1×intervals
Results
180.0ms7998×body128valid
0.0ms2×body512valid
Compiler

Compiled 46 to 42 computations (8.7% saved)

Profiling

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