Details

Time bar (total: 1.9s)

analyze1.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 18 to 8 computations (55.6% saved)

sample755.0ms (39.8%)

Results
689.0ms8256×body128valid
Compiler

Compiled 53 to 23 computations (56.6% saved)

simplify10.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
28×fma-def_binary64
4×*-commutative_binary64
4×associate-+l+_binary64
4×associate-*r*_binary64
3×+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0820
11515
23011
34911
46311
56711
66511

prune5.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.1b
(fma.f64 y (*.f64 y 3) (*.f64 x x))
0.1b
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Compiler

Compiled 79 to 36 computations (54.4% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series25.0ms (1.3%)

Counts
1 → 24
Calls

1 calls:

25.0ms
(fma.f64 y (*.f64 y 3) (*.f64 x x))

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 y (*.f64 y 3) (*.f64 x x))

simplify120.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
911×fma-def_binary64
466×distribute-rgt-in_binary64
460×distribute-lft-in_binary64
356×unswap-sqr_binary64
323×*-commutative_binary64
Counts
34 → 24
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022394
135371
266371
3184371
4793371
53022371
64320371
75097371

prune44.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New22224
Fresh101
Picked101
Done000
Total24226
Error
0.0b
Counts
26 → 2
Alt Table
StatusErrorProgram
0.1b
(fma.f64 x x (*.f64 3 (*.f64 y y)))
▶0.1b
(+.f64 (*.f64 y (*.f64 y 3)) (*.f64 x x))
Compiler

Compiled 329 to 169 computations (48.6% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 y (*.f64 y 3)) (*.f64 x x))
✓0.1b
(*.f64 y (*.f64 y 3))

series19.0ms (1%)

Counts
2 → 36
Calls

2 calls:

14.0ms
(+.f64 (*.f64 y (*.f64 y 3)) (*.f64 x x))
5.0ms
(*.f64 y (*.f64 y 3))

rewrite16.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
7×add-cbrt-cube_binary64
7×add-exp-log_binary64
7×pow1_binary64
4×add-log-exp_binary64
3×associate-*l*_binary64
Counts
2 → 34
Calls

2 calls:

7.0ms
(+.f64 (*.f64 y (*.f64 y 3)) (*.f64 x x))
7.0ms
(*.f64 y (*.f64 y 3))

simplify148.0ms (7.8%)

Algorithm
1×egg-herbie
Rules
625×fma-neg_binary64
449×associate-*l*_binary64
434×cancel-sign-sub-inv_binary64
301×associate-*r*_binary64
300×distribute-rgt-in_binary64
Counts
70 → 57
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063749
1178707
2539687
31639685
43782685
54850685
64926685

prune72.0ms (3.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New55257
Fresh011
Picked011
Done000
Total55459
Error
0b
Counts
59 → 4
Alt Table
StatusErrorProgram
0.1b
(fma.f64 x x (*.f64 3 (*.f64 y y)))
34.3b
(+.f64 (*.f64 (sqrt.f64 y) (*.f64 3 (pow.f64 y 3/2))) (*.f64 x x))
▶0.1b
(fma.f64 3 (*.f64 y y) (*.f64 x x))
✓0.1b
(+.f64 (*.f64 y (*.f64 y 3)) (*.f64 x x))
Compiler

Compiled 906 to 465 computations (48.7% saved)

localize9.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series16.0ms (0.9%)

Counts
1 → 24
Calls

1 calls:

16.0ms
(fma.f64 3 (*.f64 y y) (*.f64 x x))

rewrite1.0ms (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 3 (*.f64 y y) (*.f64 x x))

simplify120.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
912×fma-def_binary64
466×distribute-rgt-in_binary64
460×distribute-lft-in_binary64
356×unswap-sqr_binary64
324×*-commutative_binary64
Counts
34 → 23
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022394
132371
265371
3184371
4793371
53022371
64320371
75097371

prune24.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New23023
Fresh022
Picked011
Done011
Total23427
Error
0b
Counts
27 → 4
Alt Table
StatusErrorProgram
▶0.1b
(fma.f64 x x (*.f64 3 (*.f64 y y)))
34.3b
(+.f64 (*.f64 (sqrt.f64 y) (*.f64 3 (pow.f64 y 3/2))) (*.f64 x x))
✓0.1b
(fma.f64 3 (*.f64 y y) (*.f64 x x))
✓0.1b
(+.f64 (*.f64 y (*.f64 y 3)) (*.f64 x x))
Compiler

Compiled 347 to 170 computations (51% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

series20.0ms (1.1%)

Counts
2 → 36
Calls

2 calls:

16.0ms
(fma.f64 x x (*.f64 3 (*.f64 y y)))
4.0ms
(*.f64 3 (*.f64 y y))

rewrite10.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
7×add-cbrt-cube_binary64
7×add-exp-log_binary64
7×pow1_binary64
4×add-sqr-sqrt_binary64
3×associate-*l*_binary64
Counts
2 → 31
Calls

2 calls:

7.0ms
(*.f64 3 (*.f64 y y))
1.0ms
(fma.f64 x x (*.f64 3 (*.f64 y y)))

simplify121.0ms (6.4%)

Algorithm
1×egg-herbie
Rules
719×associate-/l/_binary64
648×distribute-rgt-in_binary64
638×distribute-lft-in_binary64
461×fma-def_binary64
358×*-commutative_binary64
Counts
67 → 45
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053697
195638
2217629
3554629
41003629
52324629
63738629
75212629

prune58.0ms (3.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New45045
Fresh011
Picked011
Done022
Total45449
Error
0b
Counts
49 → 4
Alt Table
StatusErrorProgram
✓0.1b
(fma.f64 x x (*.f64 3 (*.f64 y y)))
34.3b
(+.f64 (*.f64 (sqrt.f64 y) (*.f64 3 (pow.f64 y 3/2))) (*.f64 x x))
✓0.1b
(fma.f64 3 (*.f64 y y) (*.f64 x x))
✓0.1b
(+.f64 (*.f64 y (*.f64 y 3)) (*.f64 x x))
Compiler

Compiled 617 to 316 computations (48.8% saved)

regimes157.0ms (8.3%)

Accuracy

Total 0.1b remaining (80.6%)

Threshold costs 0.1b (80.6%)

Counts
12 → 1
Compiler

Compiled 806 to 502 computations (37.7% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1911
2911

end111.0ms (5.9%)

Compiler

Compiled 65 to 41 computations (36.9% saved)

Profiling

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