Details

Time bar (total: 956.0ms)

analyze26.0ms (2.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%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 13 to 10 computations (23.1% saved)

sample16.0ms (1.6%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify21.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
31416

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 47 to 35 computations (25.5% saved)

localize6.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

series6.0ms (0.6%)

Counts
2 → 24
Calls

2 calls:

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

rewrite39.0ms (4.1%)

Algorithm
1×rewrite-expression-head
Rules
69×*-un-lft-identity_binary64
53×add-sqr-sqrt_binary64
50×times-frac_binary64
27×fma-def_binary64
25×add-cube-cbrt_binary64
Counts
2 → 98
Calls

2 calls:

26.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
4.0ms
(/.f64 1 (-.f64 x 1))

simplify108.0ms (11.3%)

Algorithm
1×egg-herbie
Rules
478×fma-neg_binary64
432×cancel-sign-sub-inv_binary64
341×distribute-rgt-in_binary64
288×fma-def_binary64
234×associate-/l/_binary64
Counts
122 → 137
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01191383
13051326
27801317
323391313
445601313
549491313
649381313

prune92.0ms (9.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1361137
Fresh000
Picked011
Done000
Total1362138
Error
0b
Counts
138 → 2
Alt Table
StatusErrorProgram
▶31.3b
(fma.f64 (pow.f64 x 4) -2 (fma.f64 x (*.f64 x -2) -1))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 2515 to 1910 computations (24.1% saved)

localize6.0ms (0.7%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (pow.f64 x 4) -2 (fma.f64 x (*.f64 x -2) -1))

series4.0ms (0.4%)

Counts
1 → 12
Calls

1 calls:

4.0ms
(fma.f64 (pow.f64 x 4) -2 (fma.f64 x (*.f64 x -2) -1))

rewrite1.0ms (0.1%)

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 (pow.f64 x 4) -2 (fma.f64 x (*.f64 x -2) -1))

simplify67.0ms (7%)

Algorithm
1×egg-herbie
Rules
781×unsub-neg_binary64
591×fma-neg_binary64
526×distribute-rgt-in_binary64
480×distribute-lft-in_binary64
344×exp-prod_binary64
Counts
22 → 26
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031382
167319
2174267
3695267
42881267
54017267
65041267

prune15.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh000
Picked011
Done011
Total26228
Error
0b
Counts
28 → 2
Alt Table
StatusErrorProgram
✓31.3b
(fma.f64 (pow.f64 x 4) -2 (fma.f64 x (*.f64 x -2) -1))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 391 to 295 computations (24.6% saved)

regimes27.0ms (2.9%)

Accuracy

Total 0.0b remaining (45.8%)

Threshold costs 0.0b (45.8%)

Counts
14 → 1
Compiler

Compiled 280 to 216 computations (22.9% saved)

simplify3.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
31416

end0.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

sample516.0ms (54%)

Algorithm
1×intervals
Results
313.0ms8000×body128valid
Compiler

Compiled 50 to 38 computations (24% saved)

Profiling

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