Details

Time bar (total: 2.0s)

analyze8.0ms (0.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
99.8%0%0.2%1
Compiler

Compiled 18 to 14 computations (22.2% saved)

sample906.0ms (45.8%)

Infinites
12.4% of outputs are infinite.
Symmetry

(sort y z)

Results
740.0ms8253×body128valid
0.0ms1×body2048valid
0.0ms2×body256valid
Compiler

Compiled 53 to 41 computations (22.6% saved)

simplify25.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
382×fma-def_binary64
322×fma-neg_binary64
113×cancel-sign-sub-inv_binary64
53×unsub-neg_binary64
52×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01516
12716
25115
39514
419212
532612
647912
762612
879812
985712
1078312

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
Compiler

Compiled 52 to 35 computations (32.7% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))

series12.0ms (0.6%)

Counts
1 → 48
Calls

1 calls:

12.0ms
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))

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 (*.f64 y z) -1/2 (fma.f64 1/8 x t))

simplify67.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
422×distribute-lft-in_binary64
422×distribute-rgt-in_binary64
368×distribute-lft-neg-out_binary64
366×distribute-rgt-neg-out_binary64
319×associate-*l*_binary64
Counts
58 → 29
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028750
150651
295649
3396649
42320649
54993649
64952649

prune21.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New28129
Fresh000
Picked011
Done000
Total28230
Error
0.0b
Counts
30 → 2
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
▶38.2b
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))))
Compiler

Compiled 426 to 232 computations (45.5% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
✓0.0b
(*.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)))
✓0.1b
(*.f64 (*.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)))
✓38.2b
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))))

series124.0ms (6.3%)

Counts
3 → 144
Calls

3 calls:

70.0ms
(*.f64 (*.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)))
35.0ms
(*.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)))
19.0ms
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))))

rewrite22.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
29×pow1_binary64
13×add-cbrt-cube_binary64
11×add-sqr-sqrt_binary64
10×add-exp-log_binary64
8×*-un-lft-identity_binary64
Counts
3 → 74
Calls

3 calls:

4.0ms
(*.f64 (*.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)))
3.0ms
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))))
3.0ms
(*.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)))

simplify152.0ms (7.7%)

Algorithm
1×egg-herbie
Rules
431×distribute-rgt-in_binary64
385×distribute-lft-in_binary64
300×fma-neg_binary64
299×sub-neg_binary64
279×fma-def_binary64
Counts
218 → 175
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02078493
16416984
223896290
353856290

prune192.0ms (9.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2611262
Fresh000
Picked011
Done101
Total2622264
Error
0b
Counts
264 → 2
Alt Table
StatusErrorProgram
▶0.0b
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
✓38.2b
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))))
Compiler

Compiled 8931 to 4916 computations (45% saved)

localize6.0ms (0.3%)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0b
Counts
2 → 2
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
✓38.2b
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))))
Compiler

Compiled 47 to 29 computations (38.3% saved)

regimes355.0ms (18%)

Accuracy

Total 0.0b remaining (66.7%)

Threshold costs 0.0b (66.7%)

Counts
30 → 1
Compiler

Compiled 5771 to 4024 computations (30.3% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11112
21112

end64.0ms (3.2%)

Remove

(sort y z)

Compiler

Compiled 99 to 65 computations (34.3% saved)

Profiling

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