Details

Time bar (total: 2.7s)

analyze659.0ms (24%)

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
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56%4%10
47.3%48.7%4%11
48.4%45.8%5.8%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample20.0ms (0.7%)

Algorithm
intervals
Results
11.0ms256×body128valid
1.0ms26×body128invalid
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify165.0ms (6%)

Algorithm
egg-herbie
Rules
907×associate-/l*_binary64
841×cube-prod_binary64
740×associate-/l/_binary64
607×associate-/r/_binary64
557×associate-*l/_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11710
22110
33210
43310
53910
64310
75110
821610
973310
1075710
1176810
1277310
1377810
1478310
15190810
16202510
17208310
18223810
19237310
20256310
21290210
22322510
23364010
24436710
25466910
26515910

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
12.7b
Counts
1 → 1
Alt Table
StatusErrorProgram
12.7b
(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 20 to 12 computations (40% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 y z))
12.0b
(/.f64 (*.f64 x (+.f64 y z)) z)

rewrite37.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
Counts
2 → 46
Calls

2 calls:

6.0ms
(*.f64 x (+.f64 y z))
5.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 583 to 161 computations (72.4% saved)

series43.0ms (1.6%)

Error
4.8b
Counts
2 → 30
Calls

2 calls:

22.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
17.0ms
(*.f64 x (+.f64 y z))
Compiler

Compiled 505 to 295 computations (41.6% saved)

simplify91.0ms (3.3%)

Algorithm
egg-herbie
Rules
653×times-frac_binary64
561×associate-/l*_binary64
379×associate-*l*_binary64
293×associate-*r*_binary64
280×distribute-rgt-in_binary64
Counts
76 → 43
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088796
1235703
2879703
33770703
44416703
54911703
64970703

prune21.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New36743
Fresh000
Picked101
Done000
Total37744
Error
0.0b
Counts
44 → 7
Alt Table
StatusErrorProgram
13.6b
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (+.f64 y z) (cbrt.f64 x))) z)
12.8b
(/.f64 1 (/.f64 z (*.f64 (+.f64 y z) x)))
45.1b
(/.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 z 3) (pow.f64 y 3))) (+.f64 (*.f64 y y) (-.f64 (*.f64 z z) (*.f64 y z)))) z)
2.9b
(*.f64 x (/.f64 (+.f64 y z) z))
38.5b
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y z) x) z) 3))
38.3b
(/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) (sqrt.f64 (*.f64 (+.f64 y z) x))) z)
37.3b
(/.f64 (*.f64 (/.f64 x (sqrt.f64 z)) (+.f64 y z)) (sqrt.f64 z))
Compiler

Compiled 526 to 229 computations (56.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 y z) z)
2.7b
(*.f64 x (/.f64 (+.f64 y z) z))

rewrite52.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
34×*-un-lft-identity_binary64
25×times-frac_binary64
25×add-sqr-sqrt_binary64
20×add-cube-cbrt_binary64
16×associate-*r*_binary64
Counts
2 → 68
Calls

2 calls:

11.0ms
(*.f64 x (/.f64 (+.f64 y z) z))
4.0ms
(/.f64 (+.f64 y z) z)
Compiler

Compiled 880 to 211 computations (76% saved)

series37.0ms (1.3%)

Error
0.0b
Counts
2 → 27
Calls

2 calls:

21.0ms
(*.f64 x (/.f64 (+.f64 y z) z))
12.0ms
(/.f64 (+.f64 y z) z)
Compiler

Compiled 416 to 262 computations (37% saved)

simplify60.0ms (2.2%)

Algorithm
egg-herbie
Rules
897×distribute-rgt-in_binary64
873×distribute-lft-in_binary64
267×associate-*l*_binary64
227×associate-*l/_binary64
224×associate-*r/_binary64
Counts
95 → 39
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0991145
12351052
27301052
319591052
450371052

prune17.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New34539
Fresh426
Picked011
Done000
Total38846
Error
0.0b
Counts
46 → 8
Alt Table
StatusErrorProgram
33.7b
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (+.f64 y z) z) (sqrt.f64 x)))
37.3b
(/.f64 (*.f64 (/.f64 x (sqrt.f64 z)) (+.f64 y z)) (sqrt.f64 z))
2.9b
(*.f64 x (/.f64 (+.f64 y z) z))
15.2b
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 y z) z) 3)))
12.8b
(*.f64 (*.f64 (+.f64 y z) x) (/.f64 1 z))
34.3b
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (/.f64 (sqrt.f64 (+.f64 y z)) z))
4.0b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (+.f64 y z) z) (cbrt.f64 x)))
12.8b
(/.f64 1 (/.f64 z (*.f64 (+.f64 y z) x)))
Compiler

Compiled 489 to 204 computations (58.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 x)
0.5b
(cbrt.f64 x)
1.3b
(*.f64 (/.f64 (+.f64 y z) z) (cbrt.f64 x))
1.8b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (+.f64 y z) z) (cbrt.f64 x)))

rewrite48.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
30×add-exp-log_binary64
26×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64
18×add-cbrt-cube_binary64
18×pow1_binary64
Counts
4 → 89
Calls

4 calls:

11.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (+.f64 y z) z) (cbrt.f64 x)))
8.0ms
(*.f64 (/.f64 (+.f64 y z) z) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1746 to 291 computations (83.3% saved)

series112.0ms (4.1%)

Error
0.0b
Counts
4 → 36
Calls

4 calls:

54.0ms
(*.f64 (/.f64 (+.f64 y z) z) (cbrt.f64 x))
28.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (+.f64 y z) z) (cbrt.f64 x)))
14.0ms
(cbrt.f64 x)
11.0ms
(cbrt.f64 x)
Compiler

Compiled 1106 to 668 computations (39.6% saved)

simplify129.0ms (4.7%)

Algorithm
egg-herbie
Rules
392×associate-*r/_binary64
386×associate-*l/_binary64
354×*-commutative_binary64
332×unswap-sqr_binary64
299×log-prod_binary64
Counts
125 → 93
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01321952
13201365
210241356
331911356
446261356
549521356
649361356

prune21.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh066
Picked011
Done011
Total938101
Error
0.0b
Counts
101 → 8
Alt Table
StatusErrorProgram
33.7b
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (+.f64 y z) z) (sqrt.f64 x)))
37.3b
(/.f64 (*.f64 (/.f64 x (sqrt.f64 z)) (+.f64 y z)) (sqrt.f64 z))
2.9b
(*.f64 x (/.f64 (+.f64 y z) z))
15.2b
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 y z) z) 3)))
12.8b
(*.f64 (*.f64 (+.f64 y z) x) (/.f64 1 z))
34.3b
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (/.f64 (sqrt.f64 (+.f64 y z)) z))
4.0b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (+.f64 y z) z) (cbrt.f64 x)))
12.8b
(/.f64 1 (/.f64 z (*.f64 (+.f64 y z) x)))
Compiler

Compiled 1087 to 334 computations (69.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (+.f64 y z) x)
12.0b
(*.f64 (*.f64 (+.f64 y z) x) (/.f64 1 z))

rewrite43.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
26×add-exp-log_binary64
16×associate-*r*_binary64
16×add-cbrt-cube_binary64
13×*-un-lft-identity_binary64
13×add-sqr-sqrt_binary64
Counts
2 → 63
Calls

2 calls:

8.0ms
(*.f64 (*.f64 (+.f64 y z) x) (/.f64 1 z))
4.0ms
(*.f64 (+.f64 y z) x)
Compiler

Compiled 959 to 392 computations (59.1% saved)

series45.0ms (1.6%)

Error
0.0b
Counts
2 → 30
Calls

2 calls:

21.0ms
(*.f64 (*.f64 (+.f64 y z) x) (/.f64 1 z))
20.0ms
(*.f64 (+.f64 y z) x)
Compiler

Compiled 573 to 353 computations (38.4% saved)

simplify81.0ms (2.9%)

Algorithm
egg-herbie
Rules
669×associate-/r*_binary64
432×associate-/l/_binary64
415×distribute-rgt-in_binary64
406×distribute-lft-in_binary64
343×associate-/r/_binary64
Counts
93 → 80
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01051066
1263928
2924928
32776928
44829928
55000928

prune23.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New77380
Fresh325
Picked011
Done022
Total80888
Error
0.0b
Counts
88 → 8
Alt Table
StatusErrorProgram
33.7b
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (+.f64 y z) z) (sqrt.f64 x)))
37.6b
(*.f64 (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 1 z))) (sqrt.f64 (/.f64 1 z)))
4.0b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (+.f64 y z) z) (cbrt.f64 x)))
9.8b
(*.f64 (+.f64 y z) (/.f64 x z))
2.9b
(*.f64 x (/.f64 (+.f64 y z) z))
15.2b
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 y z) z) 3)))
12.8b
(*.f64 (*.f64 (+.f64 y z) x) (/.f64 1 z))
37.6b
(*.f64 (/.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z)))
Compiler

Compiled 645 to 258 computations (60% saved)

regimes339.0ms (12.4%)

Accuracy

Total 1.0b remaining (98.2%)

Threshold costs 0b (0%)

Compiler

Compiled 5443 to 2951 computations (45.8% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
11640
21640

end1.0ms (0%)

Compiler

Compiled 28 to 12 computations (57.1% saved)

sample673.0ms (24.6%)

Algorithm
intervals
Results
245.0ms8000×body128valid
23.0ms754×body128invalid
Compiler

Compiled 152 to 91 computations (40.1% saved)

Profiling

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