Details

Time bar (total: 4.7s)

analyze1.9s (39.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.2%98.5%0.3%13
1.8%97.9%0.3%14
Compiler

Compiled 25 to 18 computations (28% saved)

sample143.0ms (3%)

Algorithm
1×intervals
Symmetry

(sort x y)

(sort z t)

(sort a b)

Results
18.0ms256×body128valid
7.0ms116×body128invalid
Compiler

Compiled 56 to 42 computations (25% saved)

simplify115.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1251×fma-neg_binary64
530×fma-def_binary64
258×cancel-sign-sub-inv_binary64
148×distribute-rgt-in_binary64
135×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01823
13423
27722
315621
433219
567419
695919
7136519
8181519
9183519
10184519
11184619
12184619
13216219
14216619
15216619
16205519

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.3b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
Compiler

Compiled 80 to 51 computations (36.3% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
✓0.2b
(fma.f64 (*.f64 a b) -1/4 c)

series41.0ms (0.9%)

Counts
2 → 120
Calls

2 calls:

34.0ms
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))
7.0ms
(fma.f64 (*.f64 a b) -1/4 c)

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
2×add-exp-log_binary64
Counts
2 → 20
Calls

2 calls:

0.0ms
(fma.f64 (*.f64 a b) -1/4 c)
0.0ms
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 (*.f64 a b) -1/4 c)))

simplify98.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
384×distribute-lft-in_binary64
384×distribute-rgt-in_binary64
363×fma-def_binary64
307×associate-*l*_binary64
285×associate-*r*_binary64
Counts
140 → 53
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0532333
1972083
22011949
36361949
427701949
547021949
650461949

prune45.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New52153
Fresh000
Picked101
Done000
Total53154
Error
0.0b
Counts
54 → 1
Alt Table
StatusErrorProgram
▶0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 a (*.f64 b -1/4) c)))
Compiler

Compiled 998 to 483 computations (51.6% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 a (*.f64 b -1/4) c)))

series31.0ms (0.7%)

Counts
1 → 84
Calls

1 calls:

31.0ms
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 a (*.f64 b -1/4) c)))

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 x y (fma.f64 z (/.f64 t 16) (fma.f64 a (*.f64 b -1/4) c)))

simplify79.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
627×associate-*l*_binary64
529×associate-*r*_binary64
307×fma-def_binary64
294×distribute-lft-in_binary64
294×distribute-rgt-in_binary64
Counts
94 → 34
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0431897
1851718
21751584
34611584
416871584
538471584
649971584

prune28.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New33134
Fresh000
Picked011
Done000
Total33235
Error
0b
Counts
35 → 2
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 a (*.f64 b -1/4) c)))
▶0.0b
(fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))
Compiler

Compiled 637 to 339 computations (46.8% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))
✓0.0b
(fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))

series45.0ms (1%)

Counts
2 → 144
Calls

2 calls:

31.0ms
(fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))
14.0ms
(fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
2×add-exp-log_binary64
Counts
2 → 20
Calls

2 calls:

0.0ms
(fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))
0.0ms
(fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))

simplify91.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
793×associate-*l*_binary64
687×fma-def_binary64
506×associate-+l+_binary64
499×associate-+r+_binary64
196×distribute-lft-in_binary64
Counts
164 → 52
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0512557
1912365
22322357
311092357
449552357
550172357

prune30.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh000
Picked011
Done011
Total52254
Error
0b
Counts
54 → 2
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 x y (fma.f64 z (/.f64 t 16) (fma.f64 a (*.f64 b -1/4) c)))
✓0.0b
(fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))
Compiler

Compiled 927 to 431 computations (53.5% saved)

regimes491.0ms (10.4%)

Accuracy

Total 0.0b remaining (63.3%)

Threshold costs 0.0b (63.3%)

Counts
26 → 1
Compiler

Compiled 8213 to 5964 computations (27.4% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01519
11619
21619

end42.0ms (0.9%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 147 to 98 computations (33.3% saved)

sample1.5s (32.3%)

Algorithm
1×intervals
Results
622.0ms8000×body128valid
245.0ms3935×body128invalid
Compiler

Compiled 95 to 67 computations (29.5% saved)

Profiling

Loading profile data...