Details

Time bar (total: 1.7s)

analyze69.0ms (4.1%)

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
12.5%87.4%0.1%4
31.2%68.7%0.1%5
43.7%56.2%0.1%6
56.2%40.6%3.2%7
64%29.7%6.3%8
71%20.3%8.7%9
75.3%15.2%9.5%10
79%10.1%10.8%11
81.3%7.7%11%12
83.2%5%11.8%13
84.4%3.8%11.8%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.7%)

Algorithm
intervals
Results
6.0ms255×body128valid
0.0msbody1024valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify107.0ms (6.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
025610
125610

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 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_7602 *-un-lft-identity_binary64_7580
associate-*l*_binary64_7521
associate-*r*_binary64_7520 add-cbrt-cube_binary64_7616 pow1_binary64_7641 add-cube-cbrt_binary64_7615 add-exp-log_binary64_7618
associate-*l/_binary64_7523
add-log-exp_binary64_7619 pow-prod-down_binary64_7651 unswap-sqr_binary64_7548 flip-+_binary64_7554 distribute-lft-out_binary64_7531 cbrt-unprod_binary64_7613 prod-exp_binary64_7629 *-commutative_binary64_7511 flip3-+_binary64_7583
Counts
1 → 21
Calls

1 calls:

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

series25.0ms (1.5%)

Counts
1 → 6
Calls

1 calls:

25.0ms
(*.f64 (+.f64 x 1) y)

simplify80.0ms (4.8%)

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04965244
14965244

prune23.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New25227
Fresh000
Picked011
Done000
Total25328

Merged error: 0b

Counts
28 → 3
Compiler

Compiled 319 to 207 computations (35.1% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite18.0ms (1%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_7611
23×add-sqr-sqrt_binary64_7602
15×*-un-lft-identity_binary64_7580 add-cube-cbrt_binary64_7615
11×pow1_binary64_7641
pow1/3_binary64_7662
associate-*r*_binary64_7520 swap-sqr_binary64_7547 associate-*l*_binary64_7521 add-exp-log_binary64_7618
add-log-exp_binary64_7619 add-cbrt-cube_binary64_7616 unswap-sqr_binary64_7548
pow-prod-down_binary64_7651 pow-prod-up_binary64_7650 pow-sqr_binary64_7553
pow-plus_binary64_7643 pow2_binary64_7661 cbrt-unprod_binary64_7613 prod-exp_binary64_7629 *-commutative_binary64_7511
Counts
4 → 73
Calls

4 calls:

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

series357.0ms (21.2%)

Counts
4 → 12
Calls

4 calls:

107.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
84.0ms
(cbrt.f64 y)
84.0ms
(cbrt.f64 y)
81.0ms
(cbrt.f64 y)

simplify63.0ms (3.8%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04892563
14892563

prune70.0ms (4.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388

Merged error: 0b

Counts
88 → 3
Compiler

Compiled 1427 to 666 computations (53.3% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

5.7b
(*.f64 y (-.f64 (*.f64 x x) 1))
9.5b
(/.f64 (*.f64 y (-.f64 (*.f64 x x) 1)) (-.f64 x 1))

rewrite26.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64_7602
15×*-un-lft-identity_binary64_7580
add-cbrt-cube_binary64_7616 add-exp-log_binary64_7618
add-cube-cbrt_binary64_7615
times-frac_binary64_7586 associate-/r*_binary64_7524
associate-*r*_binary64_7520 difference-of-squares_binary64_7549 cancel-sign-sub-inv_binary64_7546
distribute-lft-in_binary64_7529 pow1_binary64_7641 distribute-rgt-in_binary64_7530 associate-*r/_binary64_7522
difference-of-sqr-1_binary64_7550 flip--_binary64_7555 flip3--_binary64_7584 associate-*l*_binary64_7521
distribute-lft-out--_binary64_7532 add-log-exp_binary64_7619 associate-/l/_binary64_7527 associate-/r/_binary64_7526 cbrt-unprod_binary64_7613 sub-neg_binary64_7573 prod-exp_binary64_7629 cbrt-undiv_binary64_7614 div-exp_binary64_7631
pow-prod-down_binary64_7651 unswap-sqr_binary64_7548 frac-2neg_binary64_7591 div-inv_binary64_7577 clear-num_binary64_7579 associate-/l*_binary64_7525 *-commutative_binary64_7511
Counts
2 → 64
Calls

2 calls:

12.0ms
(/.f64 (*.f64 y (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
8.0ms
(*.f64 y (-.f64 (*.f64 x x) 1))

series118.0ms (7%)

Counts
2 → 12
Calls

2 calls:

76.0ms
(/.f64 (*.f64 y (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
42.0ms
(*.f64 y (-.f64 (*.f64 x x) 1))

simplify54.0ms (3.2%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04955965
14955965

prune62.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done022
Total76379

Merged error: 0b

Counts
79 → 3
Compiler

Compiled 1199 to 696 computations (42% saved)

regimes57.0ms (3.4%)

Compiler

Compiled 381 to 305 computations (19.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample506.0ms (30%)

Algorithm
intervals
Results
190.0ms7999×body128valid
2.0ms74×body128invalid
0.0msbody1024valid
Compiler

Compiled 136 to 110 computations (19.1% saved)

Profiling

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