Details

Time bar (total: 3.6s)

analyze554.0ms (15.4%)

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
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample23.0ms (0.6%)

Algorithm
intervals
Results
8.0ms256×body128valid
1.0ms32×body128invalid
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify140.0ms (3.9%)

Algorithm
egg-herbie
Rules
1119×div-sub_binary64
816×fma-def_binary64
804×fma-neg_binary64
517×neg-mul-1_binary64
483×neg-sub0_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
22710
35710
411110
518010
631210
797710
8316610
9372510
10415010
11478610
12480310
13495810
14538710

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
10.6b
Counts
1 → 1
Alt Table
StatusErrorProgram
10.6b
(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 20 to 12 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
10.1b
(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite68.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
31×add-cube-cbrt_binary64
15×pow1_binary64
14×add-exp-log_binary64
12×add-sqr-sqrt_binary64
12×add-cbrt-cube_binary64
Counts
2 → 95
Calls

2 calls:

16.0ms
(*.f64 x (-.f64 y z))
14.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 1500 to 300 computations (80% saved)

series48.0ms (1.3%)

Error
3.3b
Counts
2 → 30
Calls

2 calls:

24.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
20.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 526 to 312 computations (40.7% saved)

simplify93.0ms (2.6%)

Algorithm
egg-herbie
Rules
566×fma-neg_binary64
491×fma-def_binary64
364×distribute-rgt-in_binary64
325×distribute-lft-in_binary64
249×cancel-sign-sub-inv_binary64
Counts
125 → 67
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01311187
13281121
214861090
345251089
449601089

prune32.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New58967
Fresh000
Picked011
Done000
Total581068
Error
4.5b
Counts
68 → 10
Alt Table
StatusErrorProgram
36.0b
(/.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y z) x)) (sqrt.f64 (*.f64 (-.f64 y z) x))) y)
39.4b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 y z) x) y)) (sqrt.f64 (/.f64 (*.f64 (-.f64 y z) x) y)))
27.2b
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2)) (cbrt.f64 (*.f64 (-.f64 y z) x))) y)
11.5b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 y z) x) y)) (cbrt.f64 (/.f64 (*.f64 (-.f64 y z) x) y))) (cbrt.f64 (/.f64 (*.f64 (-.f64 y z) x) y)))
10.7b
(/.f64 1 (/.f64 y (*.f64 (-.f64 y z) x)))
40.8b
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y z) x) y) 3))
37.8b
(neg.f64 (/.f64 (*.f64 z x) y))
10.6b
(/.f64 (*.f64 x (-.f64 y z)) y)
41.1b
(/.f64 (/.f64 x (/.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) (-.f64 (pow.f64 y 3) (pow.f64 z 3)))) y)
12.3b
(/.f64 (*.f64 (-.f64 y z) (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))
Compiler

Compiled 880 to 348 computations (60.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (-.f64 y z) x)
0.2b
(/.f64 1 (/.f64 y (*.f64 (-.f64 y z) x)))
10.1b
(/.f64 y (*.f64 (-.f64 y z) x))

rewrite106.0ms (3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
31×add-cube-cbrt_binary64
28×add-exp-log_binary64
19×pow1_binary64
19×add-cbrt-cube_binary64
16×add-sqr-sqrt_binary64
Counts
3 → 142
Calls

3 calls:

15.0ms
(/.f64 1 (/.f64 y (*.f64 (-.f64 y z) x)))
14.0ms
(*.f64 (-.f64 y z) x)
14.0ms
(/.f64 y (*.f64 (-.f64 y z) x))
Compiler

Compiled 1921 to 651 computations (66.1% saved)

series86.0ms (2.4%)

Error
1.2b
Counts
3 → 45
Calls

3 calls:

31.0ms
(*.f64 (-.f64 y z) x)
26.0ms
(/.f64 y (*.f64 (-.f64 y z) x))
21.0ms
(/.f64 1 (/.f64 y (*.f64 (-.f64 y z) x)))
Compiler

Compiled 1034 to 682 computations (34% saved)

simplify100.0ms (2.8%)

Algorithm
egg-herbie
Rules
299×associate-/l/_binary64
266×fma-neg_binary64
226×associate-/r/_binary64
212×distribute-rgt-in_binary64
185×distribute-lft-in_binary64
Counts
187 → 118
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01622041
13581809
215351786
347691785
449551785

prune41.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1135118
Fresh808
Picked101
Done011
Total1226128
Error
0.0b
Counts
128 → 6
Alt Table
StatusErrorProgram
10.6b
(/.f64 (*.f64 x (-.f64 y z)) y)
39.4b
(*.f64 (pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1/2) (pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1/2))
11.2b
(/.f64 1 (*.f64 y (/.f64 1 (*.f64 x (-.f64 y z)))))
11.0b
(/.f64 1 (/.f64 (/.f64 y x) (-.f64 y z)))
38.6b
(/.f64 1 (/.f64 y (cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3))))
4.4b
(*.f64 (/.f64 (-.f64 y z) y) x)
Compiler

Compiled 1197 to 469 computations (60.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 y z) y)
4.1b
(*.f64 (/.f64 (-.f64 y z) y) x)

rewrite70.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
20×add-cube-cbrt_binary64
15×pow1_binary64
14×add-exp-log_binary64
12×add-sqr-sqrt_binary64
12×add-cbrt-cube_binary64
Counts
2 → 94
Calls

2 calls:

16.0ms
(/.f64 (-.f64 y z) y)
13.0ms
(*.f64 (/.f64 (-.f64 y z) y) x)
Compiler

Compiled 1088 to 264 computations (75.7% saved)

series43.0ms (1.2%)

Error
0.0b
Counts
2 → 27
Calls

2 calls:

27.0ms
(*.f64 (/.f64 (-.f64 y z) y) x)
13.0ms
(/.f64 (-.f64 y z) y)
Compiler

Compiled 432 to 278 computations (35.6% saved)

simplify60.0ms (1.7%)

Algorithm
egg-herbie
Rules
629×associate-*l/_binary64
539×associate-/l*_binary64
413×associate-/r*_binary64
249×distribute-rgt-in_binary64
236×distribute-lft-in_binary64
Counts
121 → 61
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01181101
12811000
21120998
35464998

prune33.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New57461
Fresh134
Picked011
Done101
Total59867
Error
0.0b
Counts
67 → 8
Alt Table
StatusErrorProgram
49.1b
(sqrt.f64 (*.f64 x (*.f64 x (pow.f64 (-.f64 1 (/.f64 z y)) 2))))
11.0b
(/.f64 1 (/.f64 (/.f64 y x) (-.f64 y z)))
4.8b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 y z) y)) (cbrt.f64 (/.f64 (-.f64 y z) y))) (*.f64 x (cbrt.f64 (-.f64 1 (/.f64 z y)))))
5.3b
(pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)
38.6b
(/.f64 1 (/.f64 y (cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3))))
4.4b
(*.f64 (/.f64 (-.f64 y z) y) x)
39.4b
(*.f64 (pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1/2) (pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1/2))
12.2b
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 z y)) 2)) (cbrt.f64 (-.f64 1 (/.f64 z y)))) x)
Compiler

Compiled 779 to 373 computations (52.1% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (cbrt.f64 (/.f64 (-.f64 y z) y)) (cbrt.f64 (/.f64 (-.f64 y z) y)))
4.3b
(cbrt.f64 (-.f64 1 (/.f64 z y)))
4.3b
(cbrt.f64 (/.f64 (-.f64 y z) y))
4.3b
(cbrt.f64 (/.f64 (-.f64 y z) y))

rewrite155.0ms (4.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
31×cbrt-div_binary64
28×add-cube-cbrt_binary64
27×pow1/3_binary64
17×add-sqr-sqrt_binary64
12×add-exp-log_binary64
Counts
4 → 156
Calls

4 calls:

13.0ms
(*.f64 (cbrt.f64 (/.f64 (-.f64 y z) y)) (cbrt.f64 (/.f64 (-.f64 y z) y)))
12.0ms
(cbrt.f64 (-.f64 1 (/.f64 z y)))
10.0ms
(cbrt.f64 (/.f64 (-.f64 y z) y))
10.0ms
(cbrt.f64 (/.f64 (-.f64 y z) y))
Compiler

Compiled 3216 to 956 computations (70.3% saved)

series137.0ms (3.8%)

Error
0.0b
Counts
4 → 48
Calls

4 calls:

28.0ms
(*.f64 (cbrt.f64 (/.f64 (-.f64 y z) y)) (cbrt.f64 (/.f64 (-.f64 y z) y)))
28.0ms
(cbrt.f64 (/.f64 (-.f64 y z) y))
25.0ms
(cbrt.f64 (/.f64 (-.f64 y z) y))
23.0ms
(cbrt.f64 (-.f64 1 (/.f64 z y)))
Compiler

Compiled 3731 to 2530 computations (32.2% saved)

simplify126.0ms (3.5%)

Algorithm
egg-herbie
Rules
754×fma-def_binary64
328×associate-*l*_binary64
297×associate-*r*_binary64
233×fma-neg_binary64
228×times-frac_binary64
Counts
204 → 120
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01872649
14112381
29122237
333062032
448762032
549642032

prune75.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1191120
Fresh156
Picked101
Done011
Total1217128
Error
0.0b
Counts
128 → 7
Alt Table
StatusErrorProgram
11.0b
(/.f64 1 (/.f64 (/.f64 y x) (-.f64 y z)))
5.3b
(pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)
46.5b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 z y) 2)) (*.f64 x (cbrt.f64 (-.f64 1 (/.f64 z y)))))
38.6b
(/.f64 1 (/.f64 y (cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3))))
4.4b
(*.f64 (/.f64 (-.f64 y z) y) x)
39.4b
(*.f64 (pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1/2) (pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1/2))
12.2b
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 z y)) 2)) (cbrt.f64 (-.f64 1 (/.f64 z y)))) x)
Compiler

Compiled 2327 to 998 computations (57.1% saved)

regimes855.0ms (23.8%)

Accuracy

Total 2.0b remaining (99.2%)

Threshold costs 0b (0%)

Compiler

Compiled 6555 to 3999 computations (39% saved)

bsearch3.0ms (0.1%)

Compiler

Compiled 10 to 6 computations (40% saved)

simplify7.0ms (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
03297
14497
25797
37097
47797
58097
68197
78097

end1.0ms (0%)

Compiler

Compiled 68 to 29 computations (57.4% saved)

sample697.0ms (19.4%)

Algorithm
intervals
Results
280.0ms8000×body128valid
25.0ms804×body128invalid
Compiler

Compiled 191 to 109 computations (42.9% saved)

Profiling

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