Details

Time bar (total: 2.1s)

analyze60.0ms (2.8%)

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
25%74.9%0.1%5
40.6%59.3%0.1%6
53.1%45.3%1.7%7
64%31.2%4.8%8
70.2%21.9%7.9%9
75.7%15.2%9.1%10
78.8%10.5%10.6%11
81.6%7.5%10.9%12
83.1%5.2%11.7%13
84.5%3.7%11.8%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample15.0ms (0.7%)

Algorithm
intervals
Results
9.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify8.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02610
12610

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 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
*-un-lft-identity_binary64 sum-log_binary64
flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64
distribute-lft-out_binary64 associate-+l+_binary64
Counts
2 → 25
Calls

2 calls:

7.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
4.0ms
(+.f64 (*.f64 x y) x)

series71.0ms (3.3%)

Counts
2 → 6
Calls

2 calls:

42.0ms
(+.f64 (*.f64 x y) x)
28.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)

simplify60.0ms (2.8%)

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04974394
14974394

prune22.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New30131
Fresh000
Picked011
Done000
Total30232

Merged error: 0.0b

Counts
32 → 2
Compiler

Compiled 404 to 116 computations (71.3% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x y) x)
2.2b
(*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x))
10.1b
(*.f64 x (*.f64 y y))
29.8b
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x)) (-.f64 (*.f64 x y) x))

rewrite45.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
16×add-exp-log_binary64 add-cbrt-cube_binary64
15×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
cancel-sign-sub-inv_binary64
add-log-exp_binary64 associate-*l*_binary64
cbrt-unprod_binary64 prod-exp_binary64
pow-prod-down_binary64 flip3--_binary64 associate-*r*_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip--_binary64
associate-/r*_binary64 sub-neg_binary64 times-frac_binary64
associate-/l/_binary64 cbrt-undiv_binary64 associate-/r/_binary64 unswap-sqr_binary64 div-exp_binary64 *-commutative_binary64
diff-log_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64
Counts
4 → 86
Calls

4 calls:

16.0ms
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x)) (-.f64 (*.f64 x y) x))
11.0ms
(*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x))
7.0ms
(*.f64 x (*.f64 y y))
5.0ms
(-.f64 (*.f64 x y) x)

series435.0ms (20.5%)

Counts
4 → 12
Calls

4 calls:

224.0ms
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x)) (-.f64 (*.f64 x y) x))
119.0ms
(*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x))
47.0ms
(*.f64 x (*.f64 y y))
45.0ms
(-.f64 (*.f64 x y) x)

simplify61.0ms (2.9%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049031422
149031422

prune82.0ms (3.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New97198
Fresh000
Picked011
Done011
Total973100

Merged error: 0.0b

Counts
100 → 3
Compiler

Compiled 2269 to 575 computations (74.7% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 y y) -1)
0.0b
(+.f64 (*.f64 x (*.f64 1 (/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y -1)))) y)
0.0b
(*.f64 x (*.f64 1 (/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y -1))))
10.5b
(/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y -1))

rewrite52.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity_binary64
21×add-sqr-sqrt_binary64
20×times-frac_binary64
16×add-cube-cbrt_binary64
15×add-exp-log_binary64 add-cbrt-cube_binary64
12×difference-of-sqr--1_binary64
pow1_binary64
add-log-exp_binary64
associate-/r*_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 prod-exp_binary64
flip3-+_binary64 associate-/l*_binary64 flip-+_binary64
pow-prod-down_binary64 associate-*l*_binary64
associate-/l/_binary64 cbrt-undiv_binary64 associate-*r/_binary64 associate-/r/_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64
associate-*r*_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 89
Calls

4 calls:

15.0ms
(+.f64 (*.f64 x (*.f64 1 (/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y -1)))) y)
15.0ms
(*.f64 x (*.f64 1 (/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y -1))))
10.0ms
(/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y -1))
5.0ms
(+.f64 (*.f64 y y) -1)

series374.0ms (17.6%)

Counts
4 → 12
Calls

4 calls:

140.0ms
(*.f64 x (*.f64 1 (/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y -1))))
96.0ms
(+.f64 (*.f64 x (*.f64 1 (/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y -1)))) y)
87.0ms
(/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y -1))
50.0ms
(+.f64 (*.f64 y y) -1)

simplify72.0ms (3.4%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
062941370

prune104.0ms (4.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New992101
Fresh000
Picked101
Done022
Total1004104

Merged error: 0.0b

Counts
104 → 4
Compiler

Compiled 1936 to 1149 computations (40.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite29.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
24×distribute-lft-in_binary64 distribute-rgt-in_binary64
11×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-+l+_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
add-log-exp_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 add-sqr-sqrt_binary64
flip3-+_binary64 flip-+_binary64
associate-*r*_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 50
Calls

2 calls:

13.0ms
(+.f64 (*.f64 x (*.f64 1 (*.f64 1 (+.f64 y 1)))) y)
12.0ms
(*.f64 x (*.f64 1 (*.f64 1 (+.f64 y 1))))

series77.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

49.0ms
(*.f64 x (*.f64 1 (*.f64 1 (+.f64 y 1))))
28.0ms
(+.f64 (*.f64 x (*.f64 1 (*.f64 1 (+.f64 y 1)))) y)

simplify63.0ms (3%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04982506
14982506

prune38.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh101
Picked101
Done022
Total57360

Merged error: 0.0b

Counts
60 → 3
Compiler

Compiled 669 to 405 computations (39.5% saved)

regimes29.0ms (1.4%)

Compiler

Compiled 111 to 81 computations (27% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11010

end0.0ms (0%)

sample372.0ms (17.5%)

Algorithm
intervals
Results
170.0ms7997×body128valid
2.0ms75×body128invalid
0.0msbody512valid
0.0msbody1024valid
Compiler

Compiled 46 to 35 computations (23.9% saved)

Profiling

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