Details

Time bar (total: 2.7s)

analyze802.0ms (29.5%)

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
0%99.8%0.2%7
0%99.8%0.2%8
37.4%62.4%0.2%9
37.4%62.4%0.2%10
37.4%62.4%0.2%11
40.5%59.3%0.2%12
60.8%39%0.2%13
60.8%39%0.2%14
Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.3s (46%)

Symmetry

(sort y z)

Results
968.0ms8256×body128valid
133.0ms1157×body128invalid
Compiler

Compiled 53 to 41 computations (22.6% saved)

simplify27.0ms (1%)

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

prune5.0ms (0.2%)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.4%)

Counts
1 → 48
Calls

1 calls:

11.0ms
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))

rewrite42.0ms (1.5%)

Algorithm
2×batch-egg-rewrite
Rules
834×log1p-expm1-u_binary64
834×expm1-log1p-u_binary64
108×prod-diff_binary64
99×add-sqr-sqrt_binary64
93×add-log-exp_binary64
Counts
1 → 25
Calls

1 calls:

41.0ms
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
120012
2216512
3523612
000
100

simplify51.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
635×fma-def_binary64
302×fma-neg_binary64
139×cancel-sign-sub-inv_binary64
54×distribute-rgt-neg-in_binary64
49×sub-neg_binary64
Counts
73 → 37
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016651
135573
263499
3136499
4199499
5283499
6417499
7513499
8653499
9689499
10759499
11771499
12712499

prune33.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New33437
Fresh000
Picked101
Done000
Total34438
Error
0.0b
Counts
38 → 4
Alt Table
StatusErrorProgram
▶0.0b
(fma.f64 1/8 x (fma.f64 (*.f64 y z) -1/2 t))
32.5b
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) 2)
1.3b
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))) 3)
35.1b
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) -1/2) (*.f64 (*.f64 y z) -1/2)) (pow.f64 (fma.f64 1/8 x t) 2)) (-.f64 (*.f64 (*.f64 y z) -1/2) (fma.f64 1/8 x t)))
Compiler

Compiled 602 to 356 computations (40.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series19.0ms (0.7%)

Counts
2 → 84
Calls

2 calls:

12.0ms
(fma.f64 1/8 x (fma.f64 (*.f64 y z) -1/2 t))
6.0ms
(fma.f64 (*.f64 y z) -1/2 t)

rewrite55.0ms (2%)

Algorithm
2×batch-egg-rewrite
Rules
834×log1p-expm1-u_binary64
834×expm1-log1p-u_binary64
108×prod-diff_binary64
99×add-sqr-sqrt_binary64
93×add-log-exp_binary64
Counts
2 → 49
Calls

2 calls:

54.0ms
(fma.f64 (*.f64 y z) -1/2 t)
54.0ms
(fma.f64 1/8 x (fma.f64 (*.f64 y z) -1/2 t))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
120020
2216520
3523620
000
100

simplify66.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
635×fma-def_binary64
302×fma-neg_binary64
139×cancel-sign-sub-inv_binary64
54×distribute-rgt-neg-in_binary64
49×sub-neg_binary64
Counts
133 → 61
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016960
135882
263754
3136754
4199754
5283754
6417754
7513754
8653754
9689754
10759754
11771754
12712754

prune31.0ms (1.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New60161
Fresh303
Picked101
Done000
Total64165
Error
0b
Counts
65 → 1
Alt Table
StatusErrorProgram
▶0b
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
Compiler

Compiled 808 to 455 computations (43.7% saved)

localize6.0ms (0.2%)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Alt Table
StatusErrorProgram
✓0b
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes261.0ms (9.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
22 → 1
Compiler

Compiled 3740 to 2666 computations (28.7% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11112
21112

end42.0ms (1.5%)

Remove

(sort y z)

Compiler

Compiled 65 to 45 computations (30.8% saved)

Profiling

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