Details

Time bar (total: 2.2s)

analyze518.0ms (23.2%)

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
0%99.9%0.1%7
0%99.9%0.1%8
0%99.9%0.1%9
46%49.5%4.4%10
50.3%44.9%4.8%11
55.6%39.2%5.2%12
62.9%25.7%11.4%13
65.2%23.2%11.7%14
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample21.0ms (0.9%)

Algorithm
intervals
Results
10.0ms256×body128valid
1.0ms34×body128invalid
Compiler

Compiled 32 to 24 computations (25% saved)

simplify156.0ms (7%)

Algorithm
egg-herbie
Rules
833×div-sub_binary64
775×times-frac_binary64
694×sub-neg_binary64
607×unsub-neg_binary64
604×associate-/r/_binary64
Counts
1 → 1
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01116
12416
25716
316116
435116
5104013
6216213
7306013
8308213
9332213
10340913
11342513
12329013
13427913
14478513
15462513

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Alt Table
StatusErrorProgram
0.1b
(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)
0.0b
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Compiler

Compiled 64 to 47 computations (26.6% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)

rewrite24.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
associate-/r*_binary64
*-un-lft-identity_binary64
times-frac_binary64
Counts
1 → 23
Calls

1 calls:

7.0ms
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Compiler

Compiled 463 to 265 computations (42.8% saved)

series38.0ms (1.7%)

Error
0.0b
Counts
1 → 18
Calls

1 calls:

32.0ms
(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)
Compiler

Compiled 414 to 306 computations (26.1% saved)

simplify66.0ms (3%)

Algorithm
egg-herbie
Rules
600×div-sub_binary64
321×neg-mul-1_binary64
283×associate-/l*_binary64
231×times-frac_binary64
199×distribute-rgt-in_binary64
Counts
41 → 31
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083765
1223666
2670567
32718564
44649564
55101564

prune13.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New29231
Fresh101
Picked101
Done000
Total31233
Error
0b
Counts
33 → 2
Alt Table
StatusErrorProgram
30.4b
(*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (-.f64 x (+.f64 y (*.f64 1/2 z))) (sqrt.f64 z)))
0.0b
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
Compiler

Compiled 355 to 211 computations (40.6% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 x y) z)
0.0b
(*.f64 4 (/.f64 (-.f64 x y) z))

rewrite45.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
41×add-sqr-sqrt_binary64
36×*-un-lft-identity_binary64
31×times-frac_binary64
22×add-cube-cbrt_binary64
19×associate-*r*_binary64
Counts
2 → 76
Calls

2 calls:

8.0ms
(*.f64 4 (/.f64 (-.f64 x y) z))
4.0ms
(/.f64 (-.f64 x y) z)
Compiler

Compiled 1152 to 483 computations (58.1% saved)

series51.0ms (2.3%)

Error
0b
Counts
2 → 30
Calls

2 calls:

25.0ms
(*.f64 4 (/.f64 (-.f64 x y) z))
20.0ms
(/.f64 (-.f64 x y) z)
Compiler

Compiled 740 to 553 computations (25.3% saved)

simplify98.0ms (4.4%)

Algorithm
egg-herbie
Rules
446×associate-/r*_binary64
310×distribute-rgt-neg-out_binary64
285×div-sub_binary64
282×associate-/r/_binary64
276×distribute-lft-neg-out_binary64
Counts
106 → 56
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01311323
13101237
28131237
323541237
447571237
549671237

prune15.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New55156
Fresh101
Picked011
Done000
Total56258
Error
0b
Counts
58 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
30.2b
(+.f64 (*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z))) -2)
Compiler

Compiled 461 to 242 computations (47.5% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
0.1b
(/.f64 (-.f64 x y) (sqrt.f64 z))
0.1b
(/.f64 4 (sqrt.f64 z))

rewrite100.0ms (4.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
123×add-sqr-sqrt_binary64
108×times-frac_binary64
93×*-un-lft-identity_binary64
67×add-cube-cbrt_binary64
60×sqrt-prod_binary64
Counts
3 → 180
Calls

3 calls:

19.0ms
(*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
5.0ms
(/.f64 (-.f64 x y) (sqrt.f64 z))
3.0ms
(/.f64 4 (sqrt.f64 z))
Compiler

Compiled 3190 to 1273 computations (60.1% saved)

series64.0ms (2.9%)

Error
0b
Counts
3 → 33
Calls

3 calls:

30.0ms
(/.f64 (-.f64 x y) (sqrt.f64 z))
26.0ms
(*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
4.0ms
(/.f64 4 (sqrt.f64 z))
Compiler

Compiled 1100 to 842 computations (23.5% saved)

simplify142.0ms (6.4%)

Algorithm
egg-herbie
Rules
603×associate-/l*_binary64
344×associate-/l/_binary64
292×distribute-rgt-in_binary64
277×distribute-lft-in_binary64
249×times-frac_binary64
Counts
213 → 118
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02213860
15683443
216613415
347273415
449923415

prune27.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh000
Picked011
Done011
Total1182120
Error
0b
Counts
120 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
30.2b
(+.f64 (*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z))) -2)
Compiler

Compiled 1159 to 519 computations (55.2% saved)

regimes139.0ms (6.2%)

Accuracy

Total 0.0b remaining (14.3%)

Threshold costs 0.0b (14.3%)

Compiler

Compiled 1818 to 1319 computations (27.4% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11413
21913
32113
42213
52213

end1.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

sample683.0ms (30.6%)

Algorithm
intervals
Results
341.0ms8000×body128valid
38.0ms972×body128invalid
Compiler

Compiled 58 to 43 computations (25.9% saved)

Profiling

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