Details

Time bar (total: 1.1s)

analyze23.0ms (2.1%)

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 (1.5%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify11.0ms (1%)

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 (0.6%)

Local error

Found 3 expressions with local error:

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

rewrite43.0ms (3.9%)

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:

25.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms
(/.f64 1 (-.f64 x 1))
4.0ms
(/.f64 x (+.f64 x 1))

series10.0ms (0.9%)

Counts
3 → 36
Calls

3 calls:

5.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
3.0ms
(/.f64 1 (-.f64 x 1))
2.0ms
(/.f64 x (+.f64 x 1))

simplify148.0ms (13.6%)

Algorithm
1×egg-herbie
Rules
729×fma-neg_binary64
380×fma-def_binary64
216×times-frac_binary64
195×sub-neg_binary64
182×div-sub_binary64
Counts
169 → 292
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01741959
14131896
210431881
331231869
445171869
549841869
649291869

prune138.0ms (12.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2911292
Fresh000
Picked011
Done000
Total2912293
Error
0b
Counts
293 → 2
Alt Table
StatusErrorProgram
▶18.8b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 3697 to 2745 computations (25.8% saved)

localize6.0ms (0.6%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓18.2b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))

rewrite4.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64
9×times-frac_binary64
9×add-sqr-sqrt_binary64
9×add-cube-cbrt_binary64
3×associate-/r*_binary64
Counts
1 → 29
Calls

1 calls:

2.0ms
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))

series7.0ms (0.6%)

Counts
1 → 12
Calls

1 calls:

6.0ms
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))

simplify74.0ms (6.8%)

Algorithm
1×egg-herbie
Rules
969×fma-neg_binary64
598×times-frac_binary64
571×fma-def_binary64
459×associate-*l*_binary64
303×associate-/l*_binary64
Counts
41 → 61
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
082796
1183740
2488712
31279710
44553707
55194707

prune32.0ms (2.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh000
Picked011
Done011
Total61263
Error
0b
Counts
63 → 2
Alt Table
StatusErrorProgram
✓18.8b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 833 to 561 computations (32.7% saved)

regimes23.0ms (2.1%)

Accuracy

Total 0.0b remaining (91.8%)

Threshold costs 0.0b (91.8%)

Compiler

Compiled 226 to 170 computations (24.8% 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

end1.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

sample540.0ms (49.7%)

Algorithm
1×intervals
Results
317.0ms8000×body128valid
Compiler

Compiled 48 to 35 computations (27.1% saved)

Profiling

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