Details

Time bar (total: 2.3s)

analyze36.0ms (1.6%)

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
25%74.9%0.1%4
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample18.0ms (0.8%)

Algorithm
intervals
Results
11.0ms256×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify168.0ms (7.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
167

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 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity_binary64_9513
12×times-frac_binary64_9519
10×add-cube-cbrt_binary64_9545 add-sqr-sqrt_binary64_9534
associate-/r*_binary64_9459 distribute-lft-out_binary64_9466
add-exp-log_binary64_9548 add-cbrt-cube_binary64_9546 associate-/l*_binary64_9460
associate-/r/_binary64_9461
flip3-+_binary64_9516 add-log-exp_binary64_9549 div-inv_binary64_9510 frac-2neg_binary64_9524 clear-num_binary64_9512 flip-+_binary64_9487 div-exp_binary64_9561 pow1_binary64_9571 cbrt-undiv_binary64_9544
Counts
1 → 33
Calls

1 calls:

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

series58.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

57.0ms
(/.f64 x (+.f64 x y))

simplify66.0ms (2.8%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
06097431

prune24.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh000
Picked011
Done000
Total34337

Merged error: 0b

Counts
37 → 3
Compiler

Compiled 397 to 106 computations (73.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite27.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity_binary64_9513
27×add-sqr-sqrt_binary64_9534
26×times-frac_binary64_9519
20×add-cube-cbrt_binary64_9545
18×associate-*r*_binary64_9455
15×add-exp-log_binary64_9548
add-cbrt-cube_binary64_9546
distribute-lft-out_binary64_9466
pow1_binary64_9571
prod-exp_binary64_9559 associate-/r/_binary64_9461 div-exp_binary64_9561 associate-/r*_binary64_9459
associate-*l*_binary64_9456 associate-/l*_binary64_9460 unswap-sqr_binary64_9481
flip3-+_binary64_9516 1-exp_binary64_9554 add-log-exp_binary64_9549 div-inv_binary64_9510 flip-+_binary64_9487 rec-exp_binary64_9560 cbrt-undiv_binary64_9544 cbrt-unprod_binary64_9543
pow-prod-down_binary64_9581 pow-flip_binary64_9584 un-div-inv_binary64_9511 frac-2neg_binary64_9524 clear-num_binary64_9512 inv-pow_binary64_9595 *-commutative_binary64_9446 associate-*r/_binary64_9457
Counts
2 → 78
Calls

2 calls:

11.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
6.0ms
(/.f64 1 (+.f64 x y))

series95.0ms (4.1%)

Counts
2 → 6
Calls

2 calls:

55.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
40.0ms
(/.f64 1 (+.f64 x y))

simplify69.0ms (2.9%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05178843

prune52.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done011
Total84387

Merged error: 0b

Counts
87 → 3
Compiler

Compiled 947 to 389 computations (58.9% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y))))
8.2b
(cbrt.f64 (/.f64 x (+.f64 x y)))
8.2b
(cbrt.f64 (/.f64 x (+.f64 x y)))
8.2b
(cbrt.f64 (/.f64 x (+.f64 x y)))

rewrite67.0ms (2.9%)

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod_binary64_9541
128×*-un-lft-identity_binary64_9513
102×times-frac_binary64_9519
92×add-sqr-sqrt_binary64_9534
68×add-cube-cbrt_binary64_9545
27×swap-sqr_binary64_9480 distribute-lft-out_binary64_9466
21×associate-*r*_binary64_9455 associate-*l*_binary64_9456
14×associate-/r/_binary64_9461
11×pow1_binary64_9571
unswap-sqr_binary64_9481 pow1/3_binary64_9592
flip3-+_binary64_9516 div-inv_binary64_9510 flip-+_binary64_9487 cbrt-div_binary64_9542
add-exp-log_binary64_9548
add-log-exp_binary64_9549 add-cbrt-cube_binary64_9546
pow-prod-down_binary64_9581 pow-sqr_binary64_9486 pow-prod-up_binary64_9580
associate-*l/_binary64_9458 pow-plus_binary64_9573 prod-exp_binary64_9559 frac-times_binary64_9523 *-commutative_binary64_9446 pow2_binary64_9591 associate-*r/_binary64_9457 cbrt-unprod_binary64_9543
Counts
4 → 180
Calls

4 calls:

23.0ms
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y))))
5.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
5.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
5.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))

series886.0ms (38%)

Counts
4 → 12
Calls

4 calls:

259.0ms
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y))))
221.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
208.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
198.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))

simplify94.0ms (4%)

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
055903916

prune164.0ms (7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1920192
Fresh000
Picked011
Done022
Total1923195

Merged error: 0b

Counts
195 → 3
Compiler

Compiled 5113 to 867 computations (83% saved)

regimes44.0ms (1.9%)

Compiler

Compiled 239 to 169 computations (29.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
167

end0.0ms (0%)

sample436.0ms (18.7%)

Algorithm
intervals
Results
163.0ms8000×body128valid
Compiler

Compiled 86 to 62 computations (27.9% saved)

Profiling

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