Details

Time bar (total: 3.9s)

analyze914.0ms (23.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
12.5%87.3%0.2%7
18.7%81.1%0.2%8
46.8%53%0.2%9
47.6%52.2%0.2%10
48.3%51.5%0.2%11
54.2%45.6%0.2%12
67.6%32.2%0.2%13
68.2%31.6%0.2%14
Compiler

Compiled 18 to 14 computations (22.2% saved)

sample36.0ms (0.9%)

Algorithm
1×intervals
Results
15.0ms256×body128valid
2.0ms37×body128invalid
Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify26.0ms (0.7%)

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)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series13.0ms (0.3%)

Counts
1 → 48
Calls

1 calls:

13.0ms
(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 (1.7%)

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 (0.5%)

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
▶1.4b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)))) (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))))
✓0.0b
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
Compiler

Compiled 430 to 236 computations (45.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
✓0.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)))) (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))))
✓0.5b
(*.f64 (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))))
✓0.6b
(cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)))

series398.0ms (10.2%)

Counts
3 → 144
Calls

3 calls:

258.0ms
(*.f64 (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))))
124.0ms
(cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)))
14.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)))) (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))))

rewrite18.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
29×pow1_binary64
24×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
16×pow1/3_binary64
14×*-un-lft-identity_binary64
Counts
3 → 93
Calls

3 calls:

6.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)))) (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))))
4.0ms
(*.f64 (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))))
1.0ms
(cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)))

simplify263.0ms (6.8%)

Algorithm
1×egg-herbie
Rules
498×*-commutative_binary64
259×+-commutative_binary64
236×fma-def_binary64
214×cancel-sign-sub-inv_binary64
213×sub-neg_binary64
Counts
237 → 286
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0122916493
1420115974
2529815974

prune948.0ms (24.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New5790579
Fresh000
Picked011
Done011
Total5792581
Error
0.0b
Counts
581 → 2
Alt Table
StatusErrorProgram
✓1.4b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t)))) (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))))
✓0.0b
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
Compiler

Compiled 46604 to 30846 computations (33.8% saved)

regimes267.0ms (6.9%)

Accuracy

Total 0.0b remaining (3.5%)

Threshold costs 0.0b (3.5%)

Counts
25 → 1
Compiler

Compiled 5059 to 3335 computations (34.1% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×+-commutative_binary64
6×*-commutative_binary64
5×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01516
12216
22816
33816
44516
55016
65216
75016

end6.0ms (0.2%)

Remove

(sort y z)

Compiler

Compiled 45 to 33 computations (26.7% saved)

sample879.0ms (22.6%)

Algorithm
1×intervals
Results
407.0ms7999×body128valid
62.0ms1161×body128invalid
0.0ms1×body256valid
Compiler

Compiled 86 to 60 computations (30.2% saved)

Profiling

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