Details

Time bar (total: 4.0s)

analyze391.0ms (9.9%)

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
0%99.9%0.1%6
12.5%87.4%0.1%7
12.5%71.8%15.7%8
25%56.2%18.9%9
31.2%43.7%25.1%10
39%34.7%26.3%11
44.9%27.9%27.3%12
47.8%22%30.2%13
52.6%16.8%30.7%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.0s (25.9%)

Symmetry

(sort y z)

Results
903.0ms8256×body128valid
50.0ms486×body128invalid
Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify24.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
335×fma-def_binary64
126×fma-neg_binary64
60×cancel-sign-sub-inv_binary64
40×distribute-rgt-neg-in_binary64
28×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
11911
24511
39111
412011
517911
624011
729411
837711
939611
1045011
1146211
1241311

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 -4 (*.f64 y z) (*.f64 x x))
Compiler

Compiled 42 to 25 computations (40.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 -4 (*.f64 y z) (*.f64 x x))

series9.0ms (0.2%)

Counts
1 → 36
Calls

1 calls:

9.0ms
(fma.f64 -4 (*.f64 y z) (*.f64 x x))

rewrite44.0ms (1.1%)

Algorithm
2×batch-egg-rewrite
Rules
656×log1p-expm1-u_binary64
656×expm1-log1p-u_binary64
350×log-prod_binary64
139×expm1-udef_binary64
139×log1p-udef_binary64
Counts
1 → 30
Calls

1 calls:

43.0ms
(fma.f64 -4 (*.f64 y z) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
115911
2172511
3529311
000
100

simplify175.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
1117×fma-def_binary64
807×distribute-rgt-neg-in_binary64
797×unsub-neg_binary64
711×cancel-sign-sub-inv_binary64
524×distribute-lft-neg-in_binary64
Counts
66 → 36
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012402
128348
257348
3109348
4171348
5331348
6883348
71861348
83326348
94819348
104902348
113728348
123472348
132964348
144605348
154669348
164775348

prune18.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New35136
Fresh000
Picked101
Done000
Total36137
Error
0.0b
Counts
37 → 1
Alt Table
StatusErrorProgram
▶0.0b
(fma.f64 x x (*.f64 (*.f64 y z) -4))
Compiler

Compiled 485 to 230 computations (52.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x x (*.f64 (*.f64 y z) -4))
✓0.0b
(*.f64 (*.f64 y z) -4)

series17.0ms (0.4%)

Counts
2 → 60
Calls

2 calls:

11.0ms
(fma.f64 x x (*.f64 (*.f64 y z) -4))
6.0ms
(*.f64 (*.f64 y z) -4)

rewrite40.0ms (1%)

Algorithm
2×batch-egg-rewrite
Rules
683×log1p-expm1-u_binary64
683×expm1-log1p-u_binary64
151×prod-diff_binary64
144×expm1-udef_binary64
144×log1p-udef_binary64
Counts
2 → 38
Calls

2 calls:

39.0ms
(fma.f64 x x (*.f64 (*.f64 y z) -4))
39.0ms
(*.f64 (*.f64 y z) -4)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
116018
2180018
3495218
000
100

simplify239.0ms (6%)

Algorithm
1×egg-herbie
Rules
1117×fma-def_binary64
807×distribute-rgt-neg-in_binary64
797×unsub-neg_binary64
711×cancel-sign-sub-inv_binary64
524×distribute-lft-neg-in_binary64
Counts
98 → 43
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012570
128516
257516
3109516
4171516
5331516
6883516
71861516
83326516
94819516
104902516
113728516
123472516
132964516
144605516
154669516
164775516

prune19.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh000
Picked011
Done000
Total42244
Error
0b
Counts
44 → 2
Alt Table
StatusErrorProgram
▶0.7b
(fma.f64 x x (pow.f64 (cbrt.f64 (*.f64 (*.f64 y z) -4)) 3))
✓0.0b
(fma.f64 x x (*.f64 (*.f64 y z) -4))
Compiler

Compiled 544 to 284 computations (47.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x x (pow.f64 (cbrt.f64 (*.f64 (*.f64 y z) -4)) 3))
0.0b
(*.f64 (*.f64 y z) -4)
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 (*.f64 y z) -4)) 3)
✓7.4b
(cbrt.f64 (*.f64 (*.f64 y z) -4))

series1.6s (39.2%)

Counts
3 → 84
Calls

3 calls:

662.0ms
(fma.f64 x x (pow.f64 (cbrt.f64 (*.f64 (*.f64 y z) -4)) 3))
547.0ms
(pow.f64 (cbrt.f64 (*.f64 (*.f64 y z) -4)) 3)
341.0ms
(cbrt.f64 (*.f64 (*.f64 y z) -4))

rewrite55.0ms (1.4%)

Algorithm
2×batch-egg-rewrite
Rules
858×log1p-expm1-u_binary64
858×expm1-log1p-u_binary64
227×prod-diff_binary64
99×add-sqr-sqrt_binary64
93×add-cbrt-cube_binary64
Counts
3 → 87
Calls

3 calls:

54.0ms
(fma.f64 x x (pow.f64 (cbrt.f64 (*.f64 (*.f64 y z) -4)) 3))
54.0ms
(pow.f64 (cbrt.f64 (*.f64 (*.f64 y z) -4)) 3)
54.0ms
(cbrt.f64 (*.f64 (*.f64 y z) -4))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
120927
2226527
3567227
000
100

simplify111.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
436×unswap-sqr_binary64
389×associate-*l*_binary64
352×associate-*r*_binary64
268×distribute-neg-out_binary64
229×unsub-neg_binary64
Counts
171 → 109
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0661368
11691302
23051253
3791834
42463826
54796826
64954826
74911826

prune63.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done011
Total1242126
Error
0b
Counts
126 → 2
Alt Table
StatusErrorProgram
✓0.7b
(fma.f64 x x (pow.f64 (cbrt.f64 (*.f64 (*.f64 y z) -4)) 3))
✓0.0b
(fma.f64 x x (*.f64 (*.f64 y z) -4))
Compiler

Compiled 1803 to 1060 computations (41.2% saved)

regimes102.0ms (2.6%)

Accuracy

Total 0.0b remaining (9%)

Threshold costs 0.0b (9%)

Counts
8 → 1
Compiler

Compiled 753 to 530 computations (29.6% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11011
21011

end50.0ms (1.3%)

Remove

(sort y z)

Compiler

Compiled 69 to 45 computations (34.8% saved)

Profiling

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