Details

Time bar (total: 7.5s)

analyze420.0ms (5.6%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143236
1143236
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
25%25%50%4
25%25%50%5
31.2%18.7%50%6
34.3%15.6%50%7
39%10.9%50%8
40.6%8.6%50.8%9
42.9%5.9%51.2%10
43.7%4.5%51.8%11
44.9%3%52.1%12
45.3%2.3%52.4%13
45.9%1.5%52.6%14
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample21.0ms (0.3%)

Algorithm
intervals
Results
11.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 29 to 29 computations (0% saved)

simplify38.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049718
149718

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Compiler

Compiled 38 to 35 computations (7.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (/.f64 1/9 x))
0.3b
(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b
(*.f64 3 (sqrt.f64 x))
0.4b
(/.f64 1/9 x)

rewrite160.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
36×add-sqr-sqrt_binary64_12376
28×*-un-lft-identity_binary64_12354
24×add-cube-cbrt_binary64_12389
23×times-frac_binary64_12360
13×add-exp-log_binary64_12392 add-cbrt-cube_binary64_12390 cancel-sign-sub-inv_binary64_12320
pow1_binary64_12415 add-log-exp_binary64_12393 associate-/l*_binary64_12299 associate-*r*_binary64_12294
associate-/r*_binary64_12298 sqrt-prod_binary64_12370 difference-of-squares_binary64_12323
div-exp_binary64_12405 cbrt-undiv_binary64_12388 div-inv_binary64_12351 associate-*l*_binary64_12295
frac-2neg_binary64_12365 clear-num_binary64_12353 prod-exp_binary64_12403 cbrt-unprod_binary64_12387 unswap-sqr_binary64_12322
pow-prod-down_binary64_12425 *-commutative_binary64_12285 diff-log_binary64_12446 flip3--_binary64_12358 sub-neg_binary64_12347 flip--_binary64_12329 distribute-lft-out--_binary64_12306
Counts
4 → 99
Calls

4 calls:

9.0ms
(-.f64 1 (/.f64 1/9 x))
6.0ms
(*.f64 3 (sqrt.f64 x))
5.0ms
(/.f64 1/9 x)
5.0ms
(/.f64 y (*.f64 3 (sqrt.f64 x)))
Compiler

Compiled 1816 to 1246 computations (31.4% saved)

series185.0ms (2.5%)

Error
0.1b
Counts
4 → 18
Calls

4 calls:

102.0ms
(/.f64 y (*.f64 3 (sqrt.f64 x)))
33.0ms
(-.f64 1 (/.f64 1/9 x))
18.0ms
(/.f64 1/9 x)
17.0ms
(*.f64 3 (sqrt.f64 x))
Compiler

Compiled 678 to 580 computations (14.5% saved)

simplify122.0ms (1.6%)

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
048471044
148471044

prune154.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1125117
Fresh011
Picked101
Done000
Total1136119
Error
0.0b
Counts
119 → 6
Compiler

Compiled 1867 to 1295 computations (30.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (/.f64 1 (*.f64 x 9)))
0.3b
(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b
(*.f64 3 (sqrt.f64 x))
0.5b
(/.f64 1 (*.f64 x 9))

rewrite137.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
22×add-exp-log_binary64_12392
20×add-sqr-sqrt_binary64_12376
17×*-un-lft-identity_binary64_12354
16×add-cbrt-cube_binary64_12390
13×add-cube-cbrt_binary64_12389
pow1_binary64_12415 times-frac_binary64_12360
cancel-sign-sub-inv_binary64_12320
div-exp_binary64_12405 add-log-exp_binary64_12393 associate-/l*_binary64_12299 associate-*r*_binary64_12294
prod-exp_binary64_12403
cbrt-undiv_binary64_12388 div-inv_binary64_12351 sqrt-prod_binary64_12370
cbrt-unprod_binary64_12387 associate-*l*_binary64_12295
pow-prod-down_binary64_12425 pow-flip_binary64_12428 1-exp_binary64_12398 rec-exp_binary64_12404 frac-2neg_binary64_12365 clear-num_binary64_12353 associate-/r*_binary64_12298 unswap-sqr_binary64_12322 difference-of-squares_binary64_12323 distribute-lft-out--_binary64_12306
inv-pow_binary64_12439 *-commutative_binary64_12285 diff-log_binary64_12446 flip3--_binary64_12358 sub-neg_binary64_12347 flip--_binary64_12329
Counts
4 → 93
Calls

4 calls:

12.0ms
(-.f64 1 (/.f64 1 (*.f64 x 9)))
6.0ms
(*.f64 3 (sqrt.f64 x))
5.0ms
(/.f64 y (*.f64 3 (sqrt.f64 x)))
5.0ms
(/.f64 1 (*.f64 x 9))
Compiler

Compiled 1832 to 1351 computations (26.3% saved)

series186.0ms (2.5%)

Error
0.0b
Counts
4 → 18
Calls

4 calls:

101.0ms
(/.f64 y (*.f64 3 (sqrt.f64 x)))
28.0ms
(-.f64 1 (/.f64 1 (*.f64 x 9)))
18.0ms
(/.f64 1 (*.f64 x 9))
16.0ms
(*.f64 3 (sqrt.f64 x))
Compiler

Compiled 732 to 634 computations (13.4% saved)

simplify84.0ms (1.1%)

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04909921
14909921

prune114.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh235
Picked011
Done000
Total1125117
Error
0.0b
Counts
117 → 5
Compiler

Compiled 1826 to 1319 computations (27.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (/.f64 (/.f64 1 x) 9))
0.3b
(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b
(/.f64 (/.f64 1 x) 9)
0.3b
(*.f64 3 (sqrt.f64 x))

rewrite373.0ms (5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
154×times-frac_binary64_12360
110×add-sqr-sqrt_binary64_12376
94×*-un-lft-identity_binary64_12354
86×add-cube-cbrt_binary64_12389
43×cancel-sign-sub-inv_binary64_12320
20×add-exp-log_binary64_12392
16×add-cbrt-cube_binary64_12390 associate-/l*_binary64_12299
10×div-inv_binary64_12351
div-exp_binary64_12405 difference-of-squares_binary64_12323
pow1_binary64_12415 add-log-exp_binary64_12393 associate-*r*_binary64_12294
cbrt-undiv_binary64_12388
sqrt-prod_binary64_12370 associate-/r*_binary64_12298
associate-*l*_binary64_12295
prod-exp_binary64_12403 cbrt-unprod_binary64_12387 unswap-sqr_binary64_12322 frac-2neg_binary64_12365 clear-num_binary64_12353
pow-prod-down_binary64_12425 *-commutative_binary64_12285 1-exp_binary64_12398 rec-exp_binary64_12404 associate-/l/_binary64_12301 diff-log_binary64_12446 flip3--_binary64_12358 sub-neg_binary64_12347 flip--_binary64_12329 distribute-lft-out--_binary64_12306
Counts
4 → 178
Calls

4 calls:

21.0ms
(-.f64 1 (/.f64 (/.f64 1 x) 9))
10.0ms
(/.f64 (/.f64 1 x) 9)
6.0ms
(*.f64 3 (sqrt.f64 x))
5.0ms
(/.f64 y (*.f64 3 (sqrt.f64 x)))
Compiler

Compiled 4138 to 3093 computations (25.3% saved)

series180.0ms (2.4%)

Error
0.0b
Counts
4 → 18
Calls

4 calls:

100.0ms
(/.f64 y (*.f64 3 (sqrt.f64 x)))
28.0ms
(-.f64 1 (/.f64 (/.f64 1 x) 9))
21.0ms
(*.f64 3 (sqrt.f64 x))
20.0ms
(/.f64 (/.f64 1 x) 9)
Compiler

Compiled 732 to 634 computations (13.4% saved)

simplify101.0ms (1.3%)

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049342358
149342358

prune263.0ms (3.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1951196
Fresh033
Picked011
Done011
Total1956201
Error
0b
Counts
201 → 6
Compiler

Compiled 3619 to 2582 computations (28.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(/.f64 y (sqrt.f64 x))
0.2b
(/.f64 3 (/.f64 y (sqrt.f64 x)))
0.4b
(/.f64 1/9 x)
0.4b
(/.f64 1 (/.f64 3 (/.f64 y (sqrt.f64 x))))

rewrite1.3s (17.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
858×times-frac_binary64_12360
422×add-cube-cbrt_binary64_12389 add-sqr-sqrt_binary64_12376 *-un-lft-identity_binary64_12354
156×sqrt-prod_binary64_12370
102×associate-/r*_binary64_12298
34×add-exp-log_binary64_12392
24×div-inv_binary64_12351
22×add-cbrt-cube_binary64_12390
20×div-exp_binary64_12405
12×associate-/l*_binary64_12299
11×cbrt-undiv_binary64_12388
associate-/r/_binary64_12300
pow1_binary64_12415
add-log-exp_binary64_12393 frac-2neg_binary64_12365 clear-num_binary64_12353
1-exp_binary64_12398 rec-exp_binary64_12404
inv-pow_binary64_12439 pow-flip_binary64_12428
Counts
4 → 484
Calls

4 calls:

30.0ms
(/.f64 1 (/.f64 3 (/.f64 y (sqrt.f64 x))))
9.0ms
(/.f64 3 (/.f64 y (sqrt.f64 x)))
4.0ms
(/.f64 y (sqrt.f64 x))
3.0ms
(/.f64 1/9 x)
Compiler

Compiled 13119 to 7991 computations (39.1% saved)

series273.0ms (3.6%)

Error
0b
Counts
4 → 21
Calls

4 calls:

85.0ms
(/.f64 1 (/.f64 3 (/.f64 y (sqrt.f64 x))))
82.0ms
(/.f64 y (sqrt.f64 x))
72.0ms
(/.f64 3 (/.f64 y (sqrt.f64 x)))
19.0ms
(/.f64 1/9 x)
Compiler

Compiled 977 to 844 computations (13.6% saved)

simplify260.0ms (3.5%)

Algorithm
egg-herbie
Counts
505 → 505
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
0500110983

prune976.0ms (13%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New5050505
Fresh033
Picked011
Done022
Total5056511
Error
0b
Counts
511 → 6
Compiler

Compiled 11628 to 6682 computations (42.5% saved)

regimes303.0ms (4%)

Accuracy

Total 0.2b remaining (98.1%)

Threshold costs 0.2b (98.1%)

Compiler

Compiled 2603 to 2269 computations (12.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06921
16921

end0.0ms (0%)

sample1.8s (24.4%)

Algorithm
intervals
Results
473.0ms8000×body128valid
6.0ms113×body128invalid
Compiler

Compiled 900 to 787 computations (12.6% saved)

Profiling

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