Details

Time bar (total: 2.8s)

analyze330.0ms (11.9%)

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
25%74.9%0.1%8
28.1%67.9%4%9
40.6%53%6.4%10
49.1%42.9%7.9%11
51.5%37.7%10.8%12
59.1%26.9%14%13
63.7%21.8%14.5%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.6%)

Algorithm
intervals
Results
7.0ms244×body128valid
1.0msbody1024valid
0.0ms11×body128invalid
0.0msbody256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify11.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03113
13113

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 y z))
0.0b
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 z 5))

rewrite17.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
flip3-+_binary64 associate-*r/_binary64 associate-+l+_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip-+_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 36
Calls

2 calls:

7.0ms
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 z 5))
7.0ms
(*.f64 x (+.f64 y z))

series102.0ms (3.7%)

Counts
2 → 6
Calls

2 calls:

52.0ms
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 z 5))
50.0ms
(*.f64 x (+.f64 y z))

simplify67.0ms (2.4%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05000518

prune50.0ms (1.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New38442
Fresh000
Picked101
Done000
Total39443

Merged error: 0.0b

Counts
43 → 4
Compiler

Compiled 958 to 483 computations (49.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 y x) (*.f64 z (+.f64 x 5)))
0.0b
(*.f64 z (+.f64 x 5))

rewrite16.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
flip3-+_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip-+_binary64 associate-+r+_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 36
Calls

2 calls:

7.0ms
(+.f64 (*.f64 y x) (*.f64 z (+.f64 x 5)))
7.0ms
(*.f64 z (+.f64 x 5))

series106.0ms (3.8%)

Counts
2 → 6
Calls

2 calls:

53.0ms
(*.f64 z (+.f64 x 5))
53.0ms
(+.f64 (*.f64 y x) (*.f64 z (+.f64 x 5)))

simplify78.0ms (2.8%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05065518

prune76.0ms (2.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New38442
Fresh303
Picked011
Done000
Total41546

Merged error: 0b

Counts
46 → 5
Compiler

Compiled 1341 to 878 computations (34.5% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 y x) (/.f64 (*.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
1.7b
(*.f64 z (-.f64 (*.f64 x x) 25))
6.4b
(/.f64 (*.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5))

rewrite36.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
cancel-sign-sub-inv_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 times-frac_binary64
associate-*r*_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
flip3--_binary64 associate-*l*_binary64 difference-of-squares_binary64 flip--_binary64
associate-/l/_binary64 sub-neg_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 distribute-lft-out--_binary64 div-exp_binary64
pow-prod-down_binary64 flip3-+_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 69
Calls

3 calls:

13.0ms
(/.f64 (*.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5))
9.0ms
(*.f64 z (-.f64 (*.f64 x x) 25))
9.0ms
(+.f64 (*.f64 y x) (/.f64 (*.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))

series350.0ms (12.6%)

Counts
3 → 9
Calls

3 calls:

140.0ms
(/.f64 (*.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5))
134.0ms
(+.f64 (*.f64 y x) (/.f64 (*.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
75.0ms
(*.f64 z (-.f64 (*.f64 x x) 25))

simplify54.0ms (2%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
053331324

prune84.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh123
Picked011
Done011
Total78583

Merged error: 0b

Counts
83 → 5
Compiler

Compiled 1795 to 1006 computations (44% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))))
0.3b
(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
6.2b
(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

rewrite75.0ms (2.7%)

Algorithm
rewrite-expression-head
Rules
178×times-frac_binary64
149×add-sqr-sqrt_binary64
123×*-un-lft-identity_binary64
81×add-cube-cbrt_binary64
47×difference-of-squares_binary64
30×associate-/r*_binary64
21×distribute-lft-out--_binary64
11×associate-/r/_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
flip3--_binary64 div-inv_binary64 flip--_binary64
add-log-exp_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64
associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64
flip3-+_binary64 div-sub_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
3 → 179
Calls

3 calls:

26.0ms
(+.f64 (*.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))))
14.0ms
(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
12.0ms
(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

series328.0ms (11.8%)

Counts
3 → 9
Calls

3 calls:

158.0ms
(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
139.0ms
(+.f64 (*.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))))
31.0ms
(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

simplify72.0ms (2.6%)

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
049765138
149765138

prune234.0ms (8.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1880188
Fresh022
Picked011
Done022
Total1885193

Merged error: 0b

Counts
193 → 5
Compiler

Compiled 4973 to 2736 computations (45% saved)

regimes39.0ms (1.4%)

Compiler

Compiled 237 to 210 computations (11.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample604.0ms (21.7%)

Algorithm
intervals
Results
236.0ms7683×body128valid
20.0ms666×body128invalid
18.0ms171×body1024valid
10.0ms90×body512valid
3.0ms56×body256valid
Compiler

Compiled 105 to 92 computations (12.4% saved)

Profiling

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