Details

Time bar (total: 2.3s)

analyze37.0ms (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)

sample19.0ms (0.8%)

Algorithm
intervals
Results
11.0ms256×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify165.0ms (7.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
167

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity_binary64_8502
12×times-frac_binary64_8508
10×add-cube-cbrt_binary64_8534 add-sqr-sqrt_binary64_8523
associate-/r*_binary64_8448 distribute-lft-out_binary64_8455
add-exp-log_binary64_8537 associate-/l*_binary64_8449 add-cbrt-cube_binary64_8535
associate-/r/_binary64_8450
flip3-+_binary64_8505 cbrt-undiv_binary64_8533 pow1_binary64_8560 flip-+_binary64_8476 add-log-exp_binary64_8538 frac-2neg_binary64_8513 div-inv_binary64_8499 div-exp_binary64_8550 clear-num_binary64_8501
Counts
1 → 33
Calls

1 calls:

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

series58.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

58.0ms
(/.f64 x (+.f64 y x))

simplify65.0ms (2.8%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05291431

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 110 computations (72.3% 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)))

rewrite24.0ms (1%)

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity_binary64_8502
27×add-sqr-sqrt_binary64_8523
26×times-frac_binary64_8508
20×add-cube-cbrt_binary64_8534
18×associate-*r*_binary64_8444
15×add-exp-log_binary64_8537
add-cbrt-cube_binary64_8535
distribute-lft-out_binary64_8455
pow1_binary64_8560
associate-/r*_binary64_8448 associate-/r/_binary64_8450 prod-exp_binary64_8548 div-exp_binary64_8550
associate-*l*_binary64_8445 associate-/l*_binary64_8449 unswap-sqr_binary64_8470
flip3-+_binary64_8505 cbrt-undiv_binary64_8533 1-exp_binary64_8543 rec-exp_binary64_8549 flip-+_binary64_8476 cbrt-unprod_binary64_8532 add-log-exp_binary64_8538 div-inv_binary64_8499
*-commutative_binary64_8435 un-div-inv_binary64_8500 pow-prod-down_binary64_8570 associate-*r/_binary64_8446 pow-flip_binary64_8573 frac-2neg_binary64_8513 inv-pow_binary64_8584 clear-num_binary64_8501
Counts
2 → 78
Calls

2 calls:

12.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
6.0ms
(/.f64 1 (+.f64 x y))

series104.0ms (4.5%)

Counts
2 → 6
Calls

2 calls:

65.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
39.0ms
(/.f64 1 (+.f64 x y))

simplify70.0ms (3%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (56.0ms)

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)))

rewrite68.0ms (2.9%)

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod_binary64_8530
128×*-un-lft-identity_binary64_8502
102×times-frac_binary64_8508
92×add-sqr-sqrt_binary64_8523
68×add-cube-cbrt_binary64_8534
27×distribute-lft-out_binary64_8455 swap-sqr_binary64_8469
21×associate-*r*_binary64_8444 associate-*l*_binary64_8445
14×associate-/r/_binary64_8450
11×pow1_binary64_8560
pow1/3_binary64_8581 unswap-sqr_binary64_8470
flip3-+_binary64_8505 cbrt-div_binary64_8531 flip-+_binary64_8476 div-inv_binary64_8499
add-exp-log_binary64_8537
add-log-exp_binary64_8538 add-cbrt-cube_binary64_8535
pow-prod-down_binary64_8570 pow-prod-up_binary64_8569 pow-sqr_binary64_8475
*-commutative_binary64_8435 pow2_binary64_8580 associate-*r/_binary64_8446 frac-times_binary64_8512 prod-exp_binary64_8548 cbrt-unprod_binary64_8532 pow-plus_binary64_8562 associate-*l/_binary64_8447
Counts
4 → 180
Calls

4 calls:

24.0ms
(*.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)))

series878.0ms (37.7%)

Counts
4 → 12
Calls

4 calls:

260.0ms
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y))))
223.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
199.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
196.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))

simplify95.0ms (4.1%)

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
055903916

prune154.0ms (6.6%)

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 (0.0ms)

IterNodesCost
067
167

end0.0ms (0%)

sample445.0ms (19.1%)

Algorithm
intervals
Results
171.0ms8000×body128valid
Compiler

Compiled 86 to 62 computations (27.9% saved)

Profiling

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