Details

Time bar (total: 1.5s)

analyze265.0ms (17.2%)

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
31.2%68.6%0.1%7
40.6%59.3%0.1%8
43.7%56.2%0.1%9
56.6%43.3%0.1%10
61%37.3%1.7%11
62.1%34.8%3.1%12
68.6%25.6%5.8%13
70.6%22.1%7.4%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (1%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms44×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify25.0ms (1.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
033710
133710

prune4.0ms (0.3%)

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 2 expressions with local error:

0.0b
(/.f64 (-.f64 y x) z)
0.0b
(+.f64 x (/.f64 (-.f64 y x) z))

rewrite21.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity_binary64
20×add-sqr-sqrt_binary64
15×times-frac_binary64
12×add-cube-cbrt_binary64
associate-/l*_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
associate-/r*_binary64
associate-/l/_binary64 pow1_binary64 div-sub_binary64
flip3-+_binary64 associate-+r-_binary64 flip3--_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64
Counts
2 → 51
Calls

2 calls:

10.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
7.0ms
(/.f64 (-.f64 y x) z)

series93.0ms (6.1%)

Counts
2 → 6
Calls

2 calls:

48.0ms
(/.f64 (-.f64 y x) z)
44.0ms
(+.f64 x (/.f64 (-.f64 y x) z))

simplify57.0ms (3.7%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04995779
14995779

prune57.0ms (3.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New55257
Fresh000
Picked011
Done000
Total55358

Merged error: 0b

Counts
58 → 3
Compiler

Compiled 1071 to 390 computations (63.6% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (/.f64 y z))
0.0b
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))

rewrite26.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64
14×add-sqr-sqrt_binary64
13×cancel-sign-sub-inv_binary64
10×times-frac_binary64
add-log-exp_binary64 add-cube-cbrt_binary64
flip3-+_binary64 pow1_binary64 diff-log_binary64 distribute-lft-out_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip-+_binary64 frac-sub_binary64 sum-log_binary64
sub-neg_binary64 flip3--_binary64 div-inv_binary64 +-commutative_binary64 flip--_binary64 associate--l+_binary64
Counts
2 → 44
Calls

2 calls:

16.0ms
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
6.0ms
(+.f64 x (/.f64 y z))

series82.0ms (5.3%)

Counts
2 → 6
Calls

2 calls:

47.0ms
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
35.0ms
(+.f64 x (/.f64 y z))

simplify59.0ms (3.9%)

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04949737
14949737

prune31.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh011
Picked011
Done011
Total50353

Merged error: 0b

Counts
53 → 3
Compiler

Compiled 719 to 128 computations (82.2% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))
0.2b
(*.f64 (-.f64 y x) (/.f64 1 z))

rewrite20.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64 associate-*r*_binary64
11×times-frac_binary64
10×add-cube-cbrt_binary64
add-exp-log_binary64
add-cbrt-cube_binary64
associate-*l*_binary64
add-log-exp_binary64 pow1_binary64
unswap-sqr_binary64 prod-exp_binary64
flip3--_binary64 cbrt-unprod_binary64 flip--_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 flip3-+_binary64 cbrt-undiv_binary64 associate-*r/_binary64 difference-of-squares_binary64 rec-exp_binary64 un-div-inv_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 52
Calls

2 calls:

12.0ms
(*.f64 (-.f64 y x) (/.f64 1 z))
4.0ms
(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))

series98.0ms (6.4%)

Counts
2 → 6
Calls

2 calls:

53.0ms
(*.f64 (-.f64 y x) (/.f64 1 z))
45.0ms
(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))

simplify76.0ms (4.9%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04961703
14961703

prune35.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New58058
Fresh000
Picked011
Done022
Total58361

Merged error: 0b

Counts
61 → 3
Compiler

Compiled 755 to 255 computations (66.2% saved)

regimes37.0ms (2.4%)

Compiler

Compiled 120 to 114 computations (5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01810
11810

end0.0ms (0%)

sample515.0ms (33.5%)

Algorithm
intervals
Results
211.0ms8000×body128valid
37.0ms1351×body128invalid
Compiler

Compiled 40 to 37 computations (7.5% saved)

Profiling

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