Details

Time bar (total: 1.6s)

analyze274.0ms (17.1%)

Algorithm
1×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
12.5%87.4%0.1%6
18.7%81.1%0.1%7
37.4%62.4%0.1%8
46.8%46.8%6.4%9
54.6%39%6.4%10
62.8%30.8%6.4%11
66.9%23.6%9.5%12
71.7%18.8%9.5%13
75.3%15.2%9.5%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample69.0ms (4.3%)

Algorithm
1×intervals
Symmetry

(sort x y)

Results
7.0ms256×body128valid
0.0ms10×body128invalid
Compiler

Compiled 24 to 18 computations (25% saved)

simplify21.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
192×fma-def_binary64
125×fma-neg_binary64
44×distribute-rgt-neg-in_binary64
36×cancel-sign-sub-inv_binary64
27×unsub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11510
22810
33810
47010
510910
619310
731110
836310
942010
1042410
1142610
1238110

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.4b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.4b
(-.f64 (*.f64 (*.f64 x 3) y) z)
Compiler

Compiled 30 to 21 computations (30% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 (*.f64 x 3) y) z)
✓0.5b
(*.f64 (*.f64 x 3) y)

series13.0ms (0.8%)

Counts
2 → 60
Calls

2 calls:

8.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
5.0ms
(*.f64 (*.f64 x 3) y)

rewrite10.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
7×add-cbrt-cube_binary64
7×add-exp-log_binary64
7×pow1_binary64
5×*-un-lft-identity_binary64
5×add-sqr-sqrt_binary64
Counts
2 → 40
Calls

2 calls:

4.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
4.0ms
(*.f64 (*.f64 x 3) y)

simplify77.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
730×fma-def_binary64
637×fma-neg_binary64
284×*-commutative_binary64
255×unswap-sqr_binary64
206×cancel-sign-sub-inv_binary64
Counts
100 → 63
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092949
1197920
2673908
31389908
42926908
54712908
64917908

prune50.0ms (3.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New57663
Fresh000
Picked101
Done000
Total58664
Error
0.0b
Counts
64 → 6
Alt Table
StatusErrorProgram
15.0b
(-.f64 (*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y)) z)
0.8b
(-.f64 (*.f64 (*.f64 (*.f64 x 3) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) z)
0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
▶0.1b
(-.f64 (*.f64 3 (*.f64 y x)) z)
0.4b
(fma.f64 (*.f64 x 3) y (neg.f64 z))
0.8b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) y)) (cbrt.f64 (*.f64 (*.f64 x 3) y))) (cbrt.f64 (*.f64 (*.f64 x 3) y))) z)
Compiler

Compiled 996 to 586 computations (41.2% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 3 (*.f64 y x)) z)
✓0.3b
(*.f64 3 (*.f64 y x))

series11.0ms (0.7%)

Counts
2 → 9
Calls

2 calls:

7.0ms
(-.f64 (*.f64 3 (*.f64 y x)) z)
4.0ms
(*.f64 3 (*.f64 y x))

rewrite11.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
7×add-cbrt-cube_binary64
7×add-exp-log_binary64
7×pow1_binary64
5×*-un-lft-identity_binary64
5×add-sqr-sqrt_binary64
Counts
2 → 40
Calls

2 calls:

6.0ms
(-.f64 (*.f64 3 (*.f64 y x)) z)
4.0ms
(*.f64 3 (*.f64 y x))

simplify83.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
662×fma-def_binary64
659×fma-neg_binary64
391×distribute-rgt-neg-in_binary64
242×*-commutative_binary64
211×unswap-sqr_binary64
Counts
49 → 47
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
087509
1181480
2599468
31237468
42715468
54443468
64992468
74832468

prune40.0ms (2.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New45247
Fresh235
Picked101
Done000
Total48553
Error
0b
Counts
53 → 5
Alt Table
StatusErrorProgram
0.2b
(fma.f64 3 (*.f64 y x) (neg.f64 z))
▶0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.3b
(-.f64 (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y x))) z)
0.4b
(fma.f64 (*.f64 x 3) y (neg.f64 z))
0.8b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) y)) (cbrt.f64 (*.f64 (*.f64 x 3) y))) (cbrt.f64 (*.f64 (*.f64 x 3) y))) z)
Compiler

Compiled 776 to 433 computations (44.2% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 x (*.f64 3 y)) z)
✓0.2b
(*.f64 x (*.f64 3 y))

series11.0ms (0.7%)

Counts
2 → 60
Calls

2 calls:

7.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)
4.0ms
(*.f64 x (*.f64 3 y))

rewrite11.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
7×add-cbrt-cube_binary64
7×add-exp-log_binary64
7×pow1_binary64
5×*-un-lft-identity_binary64
5×add-sqr-sqrt_binary64
Counts
2 → 40
Calls

2 calls:

5.0ms
(*.f64 x (*.f64 3 y))
4.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)

simplify74.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
731×fma-def_binary64
648×fma-neg_binary64
275×*-commutative_binary64
217×unswap-sqr_binary64
215×times-frac_binary64
Counts
100 → 63
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090947
1188918
2650906
31354906
42928906
54688906
64904906

prune40.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New63063
Fresh044
Picked011
Done000
Total63568
Error
0b
Counts
68 → 5
Alt Table
StatusErrorProgram
▶0.2b
(fma.f64 3 (*.f64 y x) (neg.f64 z))
✓0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.3b
(-.f64 (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y x))) z)
0.4b
(fma.f64 (*.f64 x 3) y (neg.f64 z))
0.8b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) y)) (cbrt.f64 (*.f64 (*.f64 x 3) y))) (cbrt.f64 (*.f64 (*.f64 x 3) y))) z)
Compiler

Compiled 952 to 561 computations (41.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(fma.f64 3 (*.f64 y x) (neg.f64 z))

series7.0ms (0.4%)

Counts
1 → 36
Calls

1 calls:

7.0ms
(fma.f64 3 (*.f64 y x) (neg.f64 z))

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 3 (*.f64 y x) (neg.f64 z))

simplify51.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
907×unsub-neg_binary64
729×distribute-rgt-in_binary64
682×distribute-lft-in_binary64
574×distribute-neg-out_binary64
536×fma-neg_binary64
Counts
46 → 21
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021468
130447
260447
3210447
4863447
52572447
65078447

prune14.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New21021
Fresh033
Picked011
Done011
Total21526
Error
0b
Counts
26 → 5
Alt Table
StatusErrorProgram
✓0.2b
(fma.f64 3 (*.f64 y x) (neg.f64 z))
✓0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.3b
(-.f64 (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y x))) z)
0.4b
(fma.f64 (*.f64 x 3) y (neg.f64 z))
0.8b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) y)) (cbrt.f64 (*.f64 (*.f64 x 3) y))) (cbrt.f64 (*.f64 (*.f64 x 3) y))) z)
Compiler

Compiled 307 to 165 computations (46.3% saved)

regimes169.0ms (10.5%)

Accuracy

Total 0.1b remaining (92.8%)

Threshold costs 0.1b (92.8%)

Counts
21 → 1
Compiler

Compiled 2264 to 1511 computations (33.3% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11210
21710
31910
42010
52010

end6.0ms (0.4%)

Remove

(sort x y)

Compiler

Compiled 30 to 21 computations (30% saved)

sample538.0ms (33.6%)

Algorithm
1×intervals
Results
216.0ms8000×body128valid
8.0ms303×body128invalid
Compiler

Compiled 93 to 68 computations (26.9% saved)

Profiling

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