Details

Time bar (total: 2.4s)

analyze431.0ms (17.9%)

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
18.7%81.1%0.1%8
31.2%68.6%0.1%9
46.8%44.5%8.7%10
51.5%39%9.5%11
57.3%32.6%10.1%12
63.8%21.6%14.7%13
66.2%18.7%15.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample20.0ms (0.8%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms16×body128invalid
Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify170.0ms (7.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0147
1147

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 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite18.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
associate-*l*_binary64
pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l/_binary64
pow-prod-down_binary64 flip3-+_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 prod-exp_binary64 flip-+_binary64 *-commutative_binary64
Counts
1 → 21
Calls

1 calls:

9.0ms
(*.f64 (+.f64 x y) z)

series61.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

61.0ms
(*.f64 (+.f64 x y) z)

simplify86.0ms (3.6%)

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04923223
14923223

prune18.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New22224
Fresh000
Picked011
Done000
Total22325

Merged error: 0b

Counts
25 → 3
Compiler

Compiled 257 to 88 computations (65.8% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

3.7b
(-.f64 (*.f64 x x) (*.f64 y y))
11.6b
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
16.9b
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))

rewrite30.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 times-frac_binary64
flip3--_binary64 associate-*r*_binary64 associate-*r/_binary64 difference-of-squares_binary64 flip--_binary64
sub-neg_binary64 associate-*l*_binary64
associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 distribute-lft-out--_binary64 div-exp_binary64
pow-prod-down_binary64 diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 *-commutative_binary64
Counts
3 → 64
Calls

3 calls:

12.0ms
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
8.0ms
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
4.0ms
(-.f64 (*.f64 x x) (*.f64 y y))

series356.0ms (14.8%)

Counts
3 → 9
Calls

3 calls:

199.0ms
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
116.0ms
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
41.0ms
(-.f64 (*.f64 x x) (*.f64 y y))

simplify58.0ms (2.4%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049441081
149441081

prune49.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh101
Picked101
Done011
Total74276

Merged error: 0b

Counts
76 → 2
Compiler

Compiled 1218 to 287 computations (76.4% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 1 (-.f64 x y))
3.7b
(-.f64 (*.f64 x x) (*.f64 y y))
11.6b
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
17.0b
(*.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 (-.f64 x y)))

rewrite49.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64
39×*-un-lft-identity_binary64
32×add-exp-log_binary64
30×times-frac_binary64
25×associate-*r*_binary64 add-cube-cbrt_binary64
20×add-cbrt-cube_binary64
13×prod-exp_binary64
12×pow1_binary64
difference-of-squares_binary64
cbrt-unprod_binary64 associate-*r/_binary64 distribute-lft-out--_binary64
add-log-exp_binary64 flip3--_binary64 div-exp_binary64 flip--_binary64
associate-/r*_binary64
pow-prod-down_binary64 associate-/r/_binary64 associate-*l*_binary64
sub-neg_binary64 1-exp_binary64 cbrt-undiv_binary64 rec-exp_binary64 associate-/l*_binary64
div-inv_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 un-div-inv_binary64 pow-flip_binary64
Counts
4 → 126
Calls

4 calls:

18.0ms
(*.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 (-.f64 x y)))
8.0ms
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
7.0ms
(/.f64 1 (-.f64 x y))
4.0ms
(-.f64 (*.f64 x x) (*.f64 y y))

series389.0ms (16.2%)

Counts
4 → 12
Calls

4 calls:

199.0ms
(*.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 (-.f64 x y)))
105.0ms
(*.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))
42.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
42.0ms
(/.f64 1 (-.f64 x y))

simplify63.0ms (2.6%)

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050891965

prune98.0ms (4.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh000
Picked011
Done011
Total1382140

Merged error: 0b

Counts
140 → 2
Compiler

Compiled 2561 to 776 computations (69.7% saved)

regimes44.0ms (1.8%)

Compiler

Compiled 122 to 116 computations (4.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
187

end0.0ms (0%)

sample431.0ms (18%)

Algorithm
intervals
Results
174.0ms8000×body128valid
12.0ms570×body128invalid
Compiler

Compiled 31 to 30 computations (3.2% saved)

Profiling

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