Details

Time bar (total: 1.2s)

analyze4.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample12.0ms (1.1%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 23 to 20 computations (13% saved)

simplify174.0ms (14.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01416
11416

prune6.0ms (0.5%)

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 22 to 18 computations (18.2% saved)

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite43.0ms (3.7%)

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64_1455
20×times-frac_binary64_1461
12×distribute-lft-out_binary64_1406
11×add-sqr-sqrt_binary64_1477 add-cube-cbrt_binary64_1490
associate-/r*_binary64_1399 add-log-exp_binary64_1494 add-cbrt-cube_binary64_1491 add-exp-log_binary64_1493
associate-/l*_binary64_1400
associate-/r/_binary64_1401 distribute-lft-out--_binary64_1407 flip-+_binary64_1429 pow1_binary64_1516 flip3-+_binary64_1458 div-inv_binary64_1452
div-exp_binary64_1506 clear-num_binary64_1454 cbrt-undiv_binary64_1489 frac-2neg_binary64_1466 sum-log_binary64_1546 +-commutative_binary64_1385 frac-add_binary64_1463
Counts
2 → 51
Calls

2 calls:

33.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
5.0ms
(/.f64 x (+.f64 x 1))

series100.0ms (8.6%)

Counts
2 → 6
Calls

2 calls:

71.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
29.0ms
(/.f64 x (+.f64 x 1))

simplify74.0ms (6.3%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05366903

prune60.0ms (5.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh000
Picked011
Done000
Total56258

Merged error: 0b

Counts
58 → 2
Compiler

Compiled 1066 to 776 computations (27.2% saved)

localize11.0ms (0.9%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) -1)
14.1b
(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 (*.f64 x x) -1))

rewrite24.0ms (2%)

Algorithm
rewrite-expression-head
Rules
12×times-frac_binary64_1461
11×add-sqr-sqrt_binary64_1477 add-cube-cbrt_binary64_1490 *-un-lft-identity_binary64_1455
difference-of-sqr--1_binary64_1426
associate-/r*_binary64_1399 add-log-exp_binary64_1494 add-cbrt-cube_binary64_1491 add-exp-log_binary64_1493
flip-+_binary64_1429 associate-/l*_binary64_1400 flip3-+_binary64_1458
associate-/r/_binary64_1401 pow1_binary64_1516 associate-/l/_binary64_1402
div-exp_binary64_1506 clear-num_binary64_1454 cbrt-undiv_binary64_1489 frac-2neg_binary64_1466 div-inv_binary64_1452 sum-log_binary64_1546 +-commutative_binary64_1385
Counts
2 → 47
Calls

2 calls:

16.0ms
(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 (*.f64 x x) -1))
5.0ms
(+.f64 (*.f64 x x) -1)

series111.0ms (9.5%)

Counts
2 → 6
Calls

2 calls:

61.0ms
(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 (*.f64 x x) -1))
50.0ms
(+.f64 (*.f64 x x) -1)

simplify73.0ms (6.2%)

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049501056
149501056

prune44.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New53053
Fresh000
Picked011
Done011
Total53255

Merged error: 0b

Counts
55 → 2
Compiler

Compiled 973 to 540 computations (44.5% saved)

regimes18.0ms (1.5%)

Compiler

Compiled 68 to 52 computations (23.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02016
12016

end0.0ms (0%)

sample408.0ms (34.9%)

Algorithm
intervals
Results
243.0ms8000×body128valid
Compiler

Compiled 45 to 36 computations (20% saved)

Profiling

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