Details

Time bar (total: 1.4s)

analyze7.0ms (0.5%)

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)

sample29.0ms (2%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify8.0ms (0.6%)

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 (0.1%)

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

series8.0ms (0.6%)

Counts
3 → 36
Calls

3 calls:

3.0ms
(+.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))

rewrite43.0ms (3%)

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

simplify129.0ms (9%)

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 → 205
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01741959
14131896
210431881
331231869
445171869
549841869
649291869

prune155.0ms (10.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2032205
Fresh000
Picked101
Done000
Total2042206
Error
0b
Counts
206 → 2
Alt Table
StatusErrorProgram
▶0.0b
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))))
13.1b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
Compiler

Compiled 3716 to 2759 computations (25.8% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x 1))
0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓0.4b
(expm1.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))))

series8.0ms (0.5%)

Counts
1 → 12
Calls

1 calls:

7.0ms
(expm1.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))))

rewrite1.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
2×log1p-expm1-u_binary64
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
Counts
1 → 11
Calls

1 calls:

0.0ms
(expm1.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))))

simplify59.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
598×distribute-rgt-neg-in_binary64
578×associate-*l*_binary64
414×unswap-sqr_binary64
406×associate-*r*_binary64
215×cancel-sign-sub-inv_binary64
Counts
23 → 35
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
060534
1146473
2377459
31102449
43482447
55100447

prune177.0ms (12.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2400240
Fresh011
Picked011
Done000
Total2402242
Error
0b
Counts
242 → 2
Alt Table
StatusErrorProgram
✓0.0b
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))))
▶13.1b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
Compiler

Compiled 4744 to 3652 computations (23% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓12.6b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))

series3.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

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

rewrite4.0ms (0.3%)

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))

simplify68.0ms (4.8%)

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 → 50
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
082796
1183740
2488712
31279710
44553707
55194707

prune44.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh000
Picked011
Done011
Total50252
Error
0b
Counts
52 → 2
Alt Table
StatusErrorProgram
✓0.0b
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))))
✓13.1b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
Compiler

Compiled 835 to 563 computations (32.6% saved)

regimes60.0ms (4.2%)

Accuracy

Total 0.0b remaining (83.3%)

Threshold costs 0.0b (83.3%)

Counts
39 → 1
Compiler

Compiled 878 to 692 computations (21.2% saved)

simplify3.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11720
21820
31620

end1.0ms (0%)

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample598.0ms (42%)

Algorithm
1×intervals
Results
349.0ms8000×body128valid
Compiler

Compiled 52 to 39 computations (25% saved)

Profiling

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