Details

Time bar (total: 3.1s)

analyze706.0ms (23%)

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)

sample40.0ms (1.3%)

Algorithm
1×intervals
Results
13.0ms256×body128valid
0.0ms5×body128invalid
Compiler

Compiled 24 to 18 computations (25% saved)

simplify39.0ms (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

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
Compiler

Compiled 30 to 21 computations (30% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series22.0ms (0.7%)

Counts
2 → 60
Calls

2 calls:

12.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
9.0ms
(*.f64 (*.f64 x 3) y)

rewrite26.0ms (0.8%)

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:

15.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
7.0ms
(*.f64 (*.f64 x 3) y)

simplify116.0ms (3.8%)

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

prune79.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New59463
Fresh000
Picked011
Done000
Total59564
Error
0.0b
Counts
64 → 5
Alt Table
StatusErrorProgram
27.5b
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) y)) (sqrt.f64 (*.f64 (*.f64 x 3) y))) z)
20.5b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 3) y) (*.f64 (*.f64 x 3) y)) (*.f64 (*.f64 x 3) y))) z)
0.1b
(-.f64 (*.f64 3 (*.f64 y x)) z)
✓0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
▶0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
Compiler

Compiled 956 to 563 computations (41.1% saved)

localize15.0ms (0.5%)

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))

series23.0ms (0.8%)

Counts
2 → 60
Calls

2 calls:

14.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)
9.0ms
(*.f64 x (*.f64 3 y))

rewrite19.0ms (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:

8.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)
7.0ms
(*.f64 x (*.f64 3 y))

simplify114.0ms (3.7%)

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

prune80.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New61263
Fresh213
Picked101
Done011
Total64468
Error
0.0b
Counts
68 → 4
Alt Table
StatusErrorProgram
0.6b
(-.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 3 y))) z)
0.1b
(-.f64 (*.f64 3 (*.f64 y x)) z)
✓0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
▶0.1b
(fma.f64 x (*.f64 3 y) (neg.f64 z))
Compiler

Compiled 908 to 523 computations (42.4% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x (*.f64 3 y) (neg.f64 z))

series14.0ms (0.5%)

Counts
1 → 36
Calls

1 calls:

14.0ms
(fma.f64 x (*.f64 3 y) (neg.f64 z))

rewrite2.0ms (0.1%)

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:

1.0ms
(fma.f64 x (*.f64 3 y) (neg.f64 z))

simplify92.0ms (3%)

Algorithm
1×egg-herbie
Rules
907×unsub-neg_binary64
729×distribute-rgt-in_binary64
682×distribute-lft-in_binary64
574×distribute-neg-out_binary64
535×fma-neg_binary64
Counts
46 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023468
135447
262447
3210447
4863447
52572447
65078447

prune24.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New22022
Fresh022
Picked011
Done011
Total22426
Error
0.0b
Counts
26 → 4
Alt Table
StatusErrorProgram
0.6b
(-.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 3 y))) z)
▶0.1b
(-.f64 (*.f64 3 (*.f64 y x)) z)
✓0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
✓0.1b
(fma.f64 x (*.f64 3 y) (neg.f64 z))
Compiler

Compiled 320 to 181 computations (43.4% saved)

localize9.0ms (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))

series23.0ms (0.7%)

Counts
2 → 9
Calls

2 calls:

13.0ms
(-.f64 (*.f64 3 (*.f64 y x)) z)
9.0ms
(*.f64 3 (*.f64 y x))

rewrite21.0ms (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:

10.0ms
(-.f64 (*.f64 3 (*.f64 y x)) z)
7.0ms
(*.f64 3 (*.f64 y x))

simplify130.0ms (4.3%)

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

prune61.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New45247
Fresh101
Picked101
Done022
Total47451
Error
0b
Counts
51 → 4
Alt Table
StatusErrorProgram
0.3b
(-.f64 (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y x))) z)
✓0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
0.1b
(fma.f64 3 (*.f64 y x) (neg.f64 z))
✓0.1b
(fma.f64 x (*.f64 3 y) (neg.f64 z))
Compiler

Compiled 682 to 365 computations (46.5% saved)

regimes348.0ms (11.4%)

Accuracy

Total 0.1b remaining (94.2%)

Threshold costs 0.1b (94.2%)

Counts
30 → 1
Compiler

Compiled 2848 to 1954 computations (31.4% saved)

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×*-commutative_binary64
2×distribute-rgt-neg-in_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01319
12319
22519
32619
42419

end12.0ms (0.4%)

Remove

(sort x y)

Compiler

Compiled 48 to 30 computations (37.5% saved)

sample1.0s (33.4%)

Algorithm
1×intervals
Results
456.0ms8000×body128valid
15.0ms287×body128invalid
Compiler

Compiled 74 to 53 computations (28.4% saved)

Profiling

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