Details

Time bar (total: 2.3s)

analyze114.0ms (5%)

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
49.9%49.9%0.1%5
74.9%25%0.1%6
74.9%25%0.1%7
74.9%25%0.1%8
81.1%18.7%0.1%9
81.1%18.7%0.1%10
81.1%15.6%3.3%11
84.3%10.9%4.8%12
84.3%10.9%4.8%13
84.3%8.6%7.2%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample18.0ms (0.8%)

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms17×body80invalid
Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify25.0ms (1.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
032213
132213

prune4.0ms (0.2%)

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 18 to 18 computations (0% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
0.0b
(/.f64 (*.f64 x y) 2)

rewrite16.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64
add-log-exp_binary64 add-cube-cbrt_binary64 times-frac_binary64
associate-/r*_binary64
pow1_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 div-exp_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 div-inv_binary64 flip--_binary64 frac-sub_binary64
Counts
2 → 36
Calls

2 calls:

10.0ms
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
5.0ms
(/.f64 (*.f64 x y) 2)

series12.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
4.0ms
(/.f64 (*.f64 x y) 2)

simplify258.0ms (11.4%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04987578
14987578

prune30.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh000
Picked011
Done000
Total40343

Merged error: 0b

Counts
43 → 3
Compiler

Compiled 596 to 388 computations (34.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8))
0.3b
(/.f64 x (/.f64 2 y))

rewrite44.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
86×times-frac_binary64
65×add-sqr-sqrt_binary64
50×*-un-lft-identity_binary64
44×add-cube-cbrt_binary64
13×associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
difference-of-squares_binary64
div-inv_binary64
add-log-exp_binary64
cbrt-undiv_binary64 associate-/l*_binary64 div-exp_binary64
pow1_binary64 distribute-lft-out--_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64 frac-sub_binary64
Counts
2 → 90
Calls

2 calls:

33.0ms
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8))
6.0ms
(/.f64 x (/.f64 2 y))

series13.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8))
4.0ms
(/.f64 x (/.f64 2 y))

simplify104.0ms (4.6%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
050161747

prune63.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New95196
Fresh101
Picked011
Done011
Total96399

Merged error: 0b

Counts
99 → 3
Compiler

Compiled 1630 to 1034 computations (36.6% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(/.f64 x (/.f64 (sqrt.f64 2) y))
0.4b
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 x (/.f64 (sqrt.f64 2) y)))
0.5b
(/.f64 (sqrt.f64 2) y)
1.0b
(/.f64 1 (sqrt.f64 2))

rewrite77.0ms (3.4%)

Algorithm
rewrite-expression-head
Rules
353×times-frac_binary64
257×add-sqr-sqrt_binary64
192×*-un-lft-identity_binary64
184×add-cube-cbrt_binary64
109×sqrt-prod_binary64
71×associate-*r*_binary64
54×add-exp-log_binary64
34×add-cbrt-cube_binary64
31×associate-/r*_binary64
24×div-exp_binary64
22×associate-*l*_binary64
20×unswap-sqr_binary64
14×cbrt-undiv_binary64
12×prod-exp_binary64 associate-/l*_binary64 div-inv_binary64
pow1_binary64
cbrt-unprod_binary64
add-log-exp_binary64 1-exp_binary64 rec-exp_binary64
clear-num_binary64 frac-2neg_binary64 pow-flip_binary64
associate-/r/_binary64
pow-prod-down_binary64 pow1/2_binary64 associate-*r/_binary64 sqrt-pow1_binary64 inv-pow_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 333
Calls

4 calls:

40.0ms
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 x (/.f64 (sqrt.f64 2) y)))
8.0ms
(/.f64 x (/.f64 (sqrt.f64 2) y))
5.0ms
(/.f64 1 (sqrt.f64 2))
4.0ms
(/.f64 (sqrt.f64 2) y)

series34.0ms (1.5%)

Counts
4 → 10
Calls

4 calls:

16.0ms
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 x (/.f64 (sqrt.f64 2) y)))
13.0ms
(/.f64 x (/.f64 (sqrt.f64 2) y))
5.0ms
(/.f64 (sqrt.f64 2) y)
0.0ms
(/.f64 1 (sqrt.f64 2))

simplify156.0ms (6.9%)

Algorithm
egg-herbie
Counts
343 → 343
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
049615899
149615899

prune366.0ms (16.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3430343
Fresh000
Picked011
Done022
Total3433346

Merged error: 0b

Counts
346 → 3
Compiler

Compiled 7464 to 5443 computations (27.1% saved)

regimes207.0ms (9.2%)

Compiler

Compiled 277 to 297 computations (-7.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02813
12813

end0.0ms (0%)

sample689.0ms (30.6%)

Algorithm
intervals
Results
231.0ms7999×body80valid
14.0ms513×body80invalid
0.0msbody640valid
Compiler

Compiled 52 to 55 computations (-5.8% saved)

Profiling

Loading profile data...