Details

Time bar (total: 3.7s)

analyze433.0ms (11.6%)

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
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
43.3%48%8.7%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%23.7%15%13
65%19.8%15.3%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.5%)

Algorithm
intervals
Results
8.0ms256×body128valid
1.0ms26×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify154.0ms (4.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
054913
154913

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.2b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
0.0b
(*.f64 (-.f64 y x) 6)
0.3b
(*.f64 (*.f64 (-.f64 y x) 6) z)

rewrite33.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64_14438 add-sqr-sqrt_binary64_14422 pow1_binary64_14461 add-cbrt-cube_binary64_14436
*-un-lft-identity_binary64_14400
associate-*l/_binary64_14343 add-cube-cbrt_binary64_14435 associate-*l*_binary64_14341 associate-*r*_binary64_14340
add-log-exp_binary64_14439
cbrt-unprod_binary64_14433 pow-prod-down_binary64_14471 prod-exp_binary64_14449
flip--_binary64_14375 flip3--_binary64_14404 *-commutative_binary64_14331
+-commutative_binary64_14330 flip3-+_binary64_14403 difference-of-squares_binary64_14369 distribute-lft-out--_binary64_14352 flip-+_binary64_14374 sum-log_binary64_14491 unswap-sqr_binary64_14368
Counts
3 → 53
Calls

3 calls:

13.0ms
(*.f64 (*.f64 (-.f64 y x) 6) z)
8.0ms
(*.f64 (-.f64 y x) 6)
6.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))

series154.0ms (4.1%)

Counts
3 → 9
Calls

3 calls:

65.0ms
(*.f64 (*.f64 (-.f64 y x) 6) z)
54.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
35.0ms
(*.f64 (-.f64 y x) 6)

simplify76.0ms (2%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05313767

prune68.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New56662
Fresh000
Picked011
Done000
Total56763
Error
0.0b
Counts
63 → 7
Compiler

Compiled 946 to 505 computations (46.6% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (-.f64 y x) (*.f64 6 z)))
0.3b
(*.f64 (-.f64 y x) (*.f64 6 z))

rewrite29.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_14438 pow1_binary64_14461 add-cbrt-cube_binary64_14436
add-sqr-sqrt_binary64_14422 *-un-lft-identity_binary64_14400 associate-*l*_binary64_14341
add-log-exp_binary64_14439
cbrt-unprod_binary64_14433 pow-prod-down_binary64_14471 prod-exp_binary64_14449 add-cube-cbrt_binary64_14435
associate-*l/_binary64_14343
+-commutative_binary64_14330 flip3-+_binary64_14403 difference-of-squares_binary64_14369 flip--_binary64_14375 flip3--_binary64_14404 distribute-lft-out--_binary64_14352 flip-+_binary64_14374 *-commutative_binary64_14331 sum-log_binary64_14491 associate-*r*_binary64_14340
Counts
2 → 33
Calls

2 calls:

17.0ms
(*.f64 (-.f64 y x) (*.f64 6 z))
7.0ms
(+.f64 x (*.f64 (-.f64 y x) (*.f64 6 z)))

series105.0ms (2.8%)

Counts
2 → 6
Calls

2 calls:

56.0ms
(+.f64 x (*.f64 (-.f64 y x) (*.f64 6 z)))
49.0ms
(*.f64 (-.f64 y x) (*.f64 6 z))

simplify73.0ms (1.9%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05130552

prune62.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New39039
Fresh055
Picked011
Done011
Total39746
Error
0.0b
Counts
46 → 7
Compiler

Compiled 633 to 344 computations (45.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)

rewrite15.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_14431
23×add-sqr-sqrt_binary64_14422
15×add-cube-cbrt_binary64_14435 *-un-lft-identity_binary64_14400
11×pow1_binary64_14461
pow1/3_binary64_14482
add-exp-log_binary64_14438 associate-*l*_binary64_14341 associate-*r*_binary64_14340 swap-sqr_binary64_14367
add-log-exp_binary64_14439 unswap-sqr_binary64_14368 add-cbrt-cube_binary64_14436
pow-prod-down_binary64_14471 pow-prod-up_binary64_14470 pow-sqr_binary64_14373
cbrt-unprod_binary64_14433 pow-plus_binary64_14463 prod-exp_binary64_14449 pow2_binary64_14481 *-commutative_binary64_14331
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series429.0ms (11.5%)

Counts
4 → 12
Calls

4 calls:

114.0ms
(cbrt.f64 z)
113.0ms
(cbrt.f64 z)
109.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
93.0ms
(cbrt.f64 z)

simplify94.0ms (2.5%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04892563
14892563

prune117.0ms (3.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792
Error
0.0b
Counts
92 → 7
Compiler

Compiled 1657 to 713 computations (57% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x)))
2.5b
(-.f64 (*.f64 y y) (*.f64 x x))
9.1b
(*.f64 z (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x))))
18.9b
(/.f64 (*.f64 z (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x)))) (+.f64 y x))

rewrite59.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
20×add-exp-log_binary64_14438 add-cbrt-cube_binary64_14436
13×*-un-lft-identity_binary64_14400
11×add-sqr-sqrt_binary64_14422 pow1_binary64_14461
10×associate-*r/_binary64_14342 distribute-rgt-in_binary64_14350 distribute-lft-in_binary64_14349
add-cube-cbrt_binary64_14435
sub-neg_binary64_14393 cbrt-unprod_binary64_14433 cancel-sign-sub-inv_binary64_14366 prod-exp_binary64_14449
add-log-exp_binary64_14439 associate-*l*_binary64_14341
associate-*r*_binary64_14340
associate-/r*_binary64_14344 pow-prod-down_binary64_14471 flip--_binary64_14375 flip3--_binary64_14404 times-frac_binary64_14406
cbrt-undiv_binary64_14434 div-exp_binary64_14451
associate-/l/_binary64_14347 difference-of-squares_binary64_14369 distribute-lft-out_binary64_14351 associate-/r/_binary64_14346 *-commutative_binary64_14331
flip3-+_binary64_14403 frac-2neg_binary64_14411 clear-num_binary64_14399 div-inv_binary64_14397 flip-+_binary64_14374 diff-log_binary64_14492 unswap-sqr_binary64_14368 associate-/l*_binary64_14345
Counts
4 → 95
Calls

4 calls:

18.0ms
(/.f64 (*.f64 z (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x)))) (+.f64 y x))
17.0ms
(*.f64 z (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x))))
8.0ms
(*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x)))
8.0ms
(-.f64 (*.f64 y y) (*.f64 x x))

series306.0ms (8.2%)

Counts
4 → 12
Calls

4 calls:

158.0ms
(/.f64 (*.f64 z (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x)))) (+.f64 y x))
97.0ms
(*.f64 z (*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x))))
30.0ms
(*.f64 6 (-.f64 (*.f64 y y) (*.f64 x x)))
21.0ms
(-.f64 (*.f64 y y) (*.f64 x x))

simplify79.0ms (2.1%)

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049961668
149961668

prune121.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1061107
Fresh123
Picked011
Done123
Total1086114
Error
0b
Counts
114 → 6
Compiler

Compiled 2167 to 808 computations (62.7% saved)

regimes200.0ms (5.3%)

Accuracy

Total 0.2b remaining (98.2%)

Threshold costs 0.2b (98.2%)

Compiler

Compiled 1239 to 993 computations (19.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02213
12213

end0.0ms (0%)

sample1.1s (28.5%)

Algorithm
intervals
Results
337.0ms8000×body128valid
24.0ms587×body128invalid
Compiler

Compiled 322 to 259 computations (19.6% saved)

Profiling

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