Details

Time bar (total: 5.0s)

analyze418.0ms (8.3%)

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
25%74.9%0.1%7
37.4%62.4%0.1%8
39%60.8%0.1%9
51.5%48.4%0.1%10
58.5%39.8%1.7%11
59.3%37.6%3.1%12
65.7%28.5%5.8%13
69.1%23.5%7.4%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (24.3%)

Results
822.0ms8256×body128valid
126.0ms1391×body128invalid
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify31.0ms (0.6%)

Algorithm
egg-herbie
Rules
377×fma-neg_binary64
309×fma-def_binary64
112×cancel-sign-sub-inv_binary64
77×distribute-rgt-in_binary64
56×unsub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
22410
34210
48010
513810
630210
742010
858110
964710
1071810
1174010
1274410
1369910

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 30 to 18 computations (40% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series21.0ms (0.4%)

Counts
2 → 64
Calls

2 calls:

12.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
9.0ms
(/.f64 (-.f64 y x) z)

rewrite14.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64
21×add-sqr-sqrt_binary64
15×times-frac_binary64
13×add-cube-cbrt_binary64
associate-/l*_binary64
Counts
2 → 58
Calls

2 calls:

7.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
4.0ms
(/.f64 (-.f64 y x) z)

simplify89.0ms (1.8%)

Algorithm
egg-herbie
Rules
712×fma-neg_binary64
598×times-frac_binary64
572×associate-/l*_binary64
274×div-sub_binary64
243×distribute-rgt-in_binary64
Counts
122 → 81
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01111378
12731269
26361260
318931260
444351260
550031260

prune54.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New76581
Fresh000
Picked101
Done000
Total77582
Error
0b
Counts
82 → 5
Alt Table
StatusErrorProgram
48.7b
(+.f64 x (*.f64 (/.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (cbrt.f64 z))))
28.0b
(+.f64 x (cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z)) (/.f64 (-.f64 y x) z))))
22.8b
(*.f64 (-.f64 1 (/.f64 1 z)) x)
0.0b
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
0.6b
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (/.f64 (-.f64 y x) z))
Compiler

Compiled 1249 to 384 computations (69.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series24.0ms (0.5%)

Counts
2 → 54
Calls

2 calls:

12.0ms
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
11.0ms
(-.f64 (/.f64 y z) (/.f64 x z))

rewrite115.0ms (2.3%)

Algorithm
rewrite-expression-head
Rules
505×times-frac_binary64
403×*-un-lft-identity_binary64
402×add-sqr-sqrt_binary64
390×add-cube-cbrt_binary64
338×prod-diff_binary64
Counts
2 → 422
Calls

2 calls:

25.0ms
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
15.0ms
(-.f64 (/.f64 y z) (/.f64 x z))

simplify289.0ms (5.8%)

Algorithm
egg-herbie
Rules
428×fma-neg_binary64
398×associate-/l*_binary64
347×distribute-rgt-in_binary64
321×distribute-lft-in_binary64
211×+-commutative_binary64
Counts
476 → 571
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048514576
110139837
217488049
345078007
448568007

prune330.0ms (6.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5692571
Fresh224
Picked101
Done000
Total5724576
Error
0b
Counts
576 → 4
Alt Table
StatusErrorProgram
28.4b
(+.f64 x (/.f64 (-.f64 (*.f64 y z) (*.f64 z x)) (*.f64 z z)))
22.8b
(*.f64 (-.f64 1 (/.f64 1 z)) x)
0.6b
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (/.f64 (-.f64 y x) z))
0.6b
(+.f64 x (+.f64 (-.f64 (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) 3) (/.f64 x z)) 0))
Compiler

Compiled 22097 to 4432 computations (79.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 y x) z)
0.1b
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (/.f64 (-.f64 y x) z))
0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)

series301.0ms (6%)

Counts
3 → 60
Calls

3 calls:

219.0ms
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (/.f64 (-.f64 y x) z))
44.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
38.0ms
(cbrt.f64 x)

rewrite9.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
19×cbrt-prod_binary64
12×*-un-lft-identity_binary64
12×add-cube-cbrt_binary64
10×pow1_binary64
Counts
3 → 65
Calls

3 calls:

5.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
0.0ms
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (/.f64 (-.f64 y x) z))

simplify236.0ms (4.7%)

Algorithm
egg-herbie
Rules
627×log-prod_binary64
557×unswap-sqr_binary64
418×distribute-rgt-in_binary64
409×distribute-lft-in_binary64
310×associate-*l*_binary64
Counts
125 → 105
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0781227
11291029
2363979
31150964
44414952
54820952
65198952

prune220.0ms (4.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1900190
Fresh033
Picked011
Done000
Total1904194
Error
0b
Counts
194 → 4
Alt Table
StatusErrorProgram
28.4b
(+.f64 x (/.f64 (-.f64 (*.f64 y z) (*.f64 z x)) (*.f64 z z)))
22.8b
(*.f64 (-.f64 1 (/.f64 1 z)) x)
0.6b
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (/.f64 (-.f64 y x) z))
0.6b
(+.f64 x (+.f64 (-.f64 (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) 3) (/.f64 x z)) 0))
Compiler

Compiled 3404 to 763 computations (77.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (cbrt.f64 y) (cbrt.f64 z))
0.5b
(cbrt.f64 z)
0.6b
(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) 3)
0.7b
(cbrt.f64 y)

series929.0ms (18.6%)

Counts
4 → 72
Calls

4 calls:

461.0ms
(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) 3)
403.0ms
(/.f64 (cbrt.f64 y) (cbrt.f64 z))
33.0ms
(cbrt.f64 z)
33.0ms
(cbrt.f64 y)

rewrite26.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
120×cbrt-prod_binary64
108×times-frac_binary64
85×*-un-lft-identity_binary64
85×add-sqr-sqrt_binary64
85×add-cube-cbrt_binary64
Counts
4 → 190
Calls

4 calls:

6.0ms
(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) 3)
3.0ms
(/.f64 (cbrt.f64 y) (cbrt.f64 z))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 z)

simplify124.0ms (2.5%)

Algorithm
egg-herbie
Rules
728×associate-/r*_binary64
675×log-div_binary64
430×associate-/l/_binary64
266×associate-/r/_binary64
255×fma-def_binary64
Counts
262 → 224
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02004473
15683600
218442876
344832876
456712876

prune140.0ms (2.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2240224
Fresh022
Picked011
Done011
Total2244228
Error
0b
Counts
228 → 4
Alt Table
StatusErrorProgram
28.4b
(+.f64 x (/.f64 (-.f64 (*.f64 y z) (*.f64 z x)) (*.f64 z z)))
22.8b
(*.f64 (-.f64 1 (/.f64 1 z)) x)
0.6b
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (/.f64 (-.f64 y x) z))
0.6b
(+.f64 x (+.f64 (-.f64 (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) 3) (/.f64 x z)) 0))
Compiler

Compiled 4995 to 2266 computations (54.6% saved)

regimes330.0ms (6.6%)

Accuracy

Total 0.0b remaining (55.7%)

Threshold costs 0.0b (55.7%)

Counts
83 → 1
Compiler

Compiled 4655 to 2937 computations (36.9% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
+-rgt-identity_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11310
21710
31910
42010
52010

end57.0ms (1.1%)

Compiler

Compiled 80 to 50 computations (37.5% saved)

Profiling

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