Details

Time bar (total: 3.8s)

analyze5.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample122.0ms (3.2%)

Algorithm
1×intervals
Results
12.0ms72×body1024valid
6.0ms139×body128valid
3.0ms26×body512valid
1.0ms14×body256valid
1.0ms5×body2048valid
Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify86.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
859×fma-neg_binary64
770×fma-def_binary64
322×div-sub_binary64
178×associate-/l*_binary64
150×sub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11619
22219
33419
45719
59119
617819
727719
864319
978819
10102419
11126519
12124219
13124819
14124619
15124819
16125019
17126019
18126019
19117119

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
28.4b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶28.4b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 42 to 30 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 1) (-.f64 x 1))
✓0.0b
(/.f64 x (+.f64 x 1))
✓2.4b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

series8.0ms (0.2%)

Counts
3 → 36
Calls

3 calls:

3.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
2.0ms
(/.f64 (+.f64 x 1) (-.f64 x 1))
2.0ms
(/.f64 x (+.f64 x 1))

rewrite256.0ms (6.7%)

Algorithm
1×rewrite-expression-head
Rules
1322×*-un-lft-identity_binary64
1012×times-frac_binary64
869×add-sqr-sqrt_binary64
612×prod-diff_binary64
533×add-cube-cbrt_binary64
Counts
3 → 783
Calls

3 calls:

63.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
6.0ms
(/.f64 (+.f64 x 1) (-.f64 x 1))
4.0ms
(/.f64 x (+.f64 x 1))

simplify1.1s (29.5%)

Algorithm
1×egg-herbie
Rules
654×fma-neg_binary64
367×unsub-neg_binary64
299×fma-udef_binary64
213×sub-neg_binary64
202×associate-+r-_binary64
Counts
819 → 619
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054554602
1129031108
2304322839
3432322837
4498322837
5499122837
6474222837

prune744.0ms (19.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New6172619
Fresh000
Picked011
Done000
Total6173620
Error
0b
Counts
620 → 3
Alt Table
StatusErrorProgram
33.4b
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
✓28.4b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
▶31.0b
(fma.f64 3 x 1)
Compiler

Compiled 30322 to 22341 computations (26.3% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 3 x 1)

series3.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(fma.f64 3 x 1)

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 3 x 1)

simplify68.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
483×associate-+l+_binary64
481×associate-*l/_binary64
464×unswap-sqr_binary64
402×distribute-rgt-out_binary64
368×fma-def_binary64
Counts
22 → 16
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016142
121130
244130
3102130
4266130
5932130
61828130
72069130
82367130
94354130
105116130

prune9.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New16016
Fresh011
Picked011
Done011
Total16319
Error
0b
Counts
19 → 3
Alt Table
StatusErrorProgram
▶33.4b
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
✓28.4b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
✓31.0b
(fma.f64 3 x 1)
Compiler

Compiled 149 to 118 computations (20.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
✓0.3b
(/.f64 1 (*.f64 x x))

series6.0ms (0.2%)

Counts
2 → 24
Calls

2 calls:

4.0ms
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
2.0ms
(/.f64 1 (*.f64 x x))

rewrite31.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
125×times-frac_binary64
101×add-sqr-sqrt_binary64
94×*-un-lft-identity_binary64
91×prod-diff_binary64
88×add-cube-cbrt_binary64
Counts
2 → 168
Calls

2 calls:

11.0ms
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
3.0ms
(/.f64 1 (*.f64 x x))

simplify162.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
600×times-frac_binary64
599×div-sub_binary64
452×associate-*l*_binary64
405×fma-def_binary64
396×fma-neg_binary64
Counts
192 → 193
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01794012
13293196
28292309
336141970
444771920
544741920
649861920

prune113.0ms (2.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1930193
Fresh000
Picked011
Done022
Total1933196
Error
0b
Counts
196 → 3
Alt Table
StatusErrorProgram
✓33.4b
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
✓28.4b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
✓31.0b
(fma.f64 3 x 1)
Compiler

Compiled 5413 to 3632 computations (32.9% saved)

regimes39.0ms (1%)

Accuracy

Total 0.4b remaining (79.3%)

Threshold costs 0.4b (79.3%)

Counts
10 → 2
Compiler

Compiled 234 to 176 computations (24.8% saved)

bsearch0.0ms (0%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01753
12753
23653
34553
45253
55553
65653
75453

end1.0ms (0%)

Compiler

Compiled 37 to 27 computations (27% saved)

sample1.0s (27%)

Algorithm
1×intervals
Results
345.0ms2059×body1024valid
209.0ms4249×body128valid
137.0ms973×body512valid
48.0ms238×body2048valid
44.0ms481×body256valid
Compiler

Compiled 82 to 60 computations (26.8% saved)

Profiling

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