Details

Time bar (total: 1.5s)

analyze5.0ms (0.3%)

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)

sample33.0ms (2.2%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify7.0ms (0.4%)

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

prune3.0ms (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 (0.4%)

Local error

Found 3 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))
✓0.0b
(/.f64 x (+.f64 x 1))

series9.0ms (0.6%)

Counts
3 → 36
Calls

3 calls:

4.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
3.0ms
(/.f64 1 (-.f64 x 1))
3.0ms
(/.f64 x (+.f64 x 1))

rewrite41.0ms (2.7%)

Algorithm
1×rewrite-expression-head
Rules
87×*-un-lft-identity_binary64
63×add-sqr-sqrt_binary64
62×times-frac_binary64
35×add-cube-cbrt_binary64
27×fma-def_binary64
Counts
3 → 133
Calls

3 calls:

24.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
4.0ms
(/.f64 1 (-.f64 x 1))
3.0ms
(/.f64 x (+.f64 x 1))

simplify124.0ms (8.2%)

Algorithm
1×egg-herbie
Rules
729×fma-neg_binary64
380×fma-def_binary64
215×times-frac_binary64
195×sub-neg_binary64
182×div-sub_binary64
Counts
169 → 187
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01741959
14131896
210431881
331231869
445171869
549841869
649291869

prune129.0ms (8.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1852187
Fresh000
Picked011
Done000
Total1853188
Error
0b
Counts
188 → 3
Alt Table
StatusErrorProgram
16.6b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
▶0.0b
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 3402 to 2536 computations (25.5% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b
(/.f64 x (+.f64 x 1))
✓0.4b
(/.f64 1 (fma.f64 x x -1))
✓15.1b
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))

series11.0ms (0.7%)

Counts
3 → 36
Calls

3 calls:

5.0ms
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
3.0ms
(/.f64 1 (fma.f64 x x -1))
3.0ms
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))

rewrite27.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64
20×times-frac_binary64
19×add-cube-cbrt_binary64
16×add-exp-log_binary64
Counts
3 → 98
Calls

3 calls:

11.0ms
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
7.0ms
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
2.0ms
(/.f64 1 (fma.f64 x x -1))

simplify111.0ms (7.4%)

Algorithm
1×egg-herbie
Rules
804×distribute-rgt-in_binary64
660×distribute-lft-in_binary64
363×fma-neg_binary64
157×fma-def_binary64
138×cancel-sign-sub-inv_binary64
Counts
134 → 185
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01912265
15602128
218461951
347041951
449931951
549391951

prune175.0ms (11.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2351236
Fresh101
Picked101
Done011
Total2372239
Error
0b
Counts
239 → 2
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 (/.f64 (+.f64 1 x) (fma.f64 x x -1)) (/.f64 x (+.f64 x 1)))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 5360 to 3831 computations (28.5% saved)

localize8.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 (+.f64 1 x) (fma.f64 x x -1)) (/.f64 x (+.f64 x 1)))
0.0b
(/.f64 x (+.f64 x 1))
✓15.5b
(/.f64 (+.f64 1 x) (fma.f64 x x -1))

series6.0ms (0.4%)

Counts
2 → 24
Calls

2 calls:

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

rewrite28.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
55×*-un-lft-identity_binary64
32×times-frac_binary64
19×add-sqr-sqrt_binary64
19×add-cube-cbrt_binary64
16×fma-def_binary64
Counts
2 → 70
Calls

2 calls:

18.0ms
(+.f64 (/.f64 (+.f64 1 x) (fma.f64 x x -1)) (/.f64 x (+.f64 x 1)))
4.0ms
(/.f64 (+.f64 1 x) (fma.f64 x x -1))

simplify107.0ms (7.1%)

Algorithm
1×egg-herbie
Rules
873×fma-neg_binary64
493×cancel-sign-sub-inv_binary64
408×fma-def_binary64
254×times-frac_binary64
189×distribute-rgt-in_binary64
Counts
94 → 111
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01321545
13551484
29631469
332491297
445971297
549841297
649291297

prune109.0ms (7.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1620162
Fresh000
Picked011
Done011
Total1622164
Error
0b
Counts
164 → 2
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 (+.f64 1 x) (fma.f64 x x -1)) (/.f64 x (+.f64 x 1)))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 3337 to 2312 computations (30.7% saved)

regimes48.0ms (3.2%)

Accuracy

Total 0.0b remaining (20.9%)

Threshold costs 0.0b (20.9%)

Counts
25 → 1
Compiler

Compiled 638 to 475 computations (25.5% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11320
21220

end1.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample514.0ms (34%)

Algorithm
1×intervals
Results
311.0ms8000×body128valid
Compiler

Compiled 56 to 40 computations (28.6% saved)

Profiling

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