Details

Time bar (total: 3.4s)

analyze6.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
62.5%37.5%0%4
81.2%18.7%0%5
90.6%9.4%0%6
95.3%4.7%0%7
97.6%2.3%0%8
98.8%1.2%0%9
99.4%0.6%0%10
99.7%0.3%0%11
99.8%0.1%0%12
99.9%0.1%0%13
99.9%0%0%14
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.2s (35.4%)

Results
450.0ms4683×body128valid
445.0ms2072×body512valid
152.0ms1057×body256valid
117.0ms444×body1024valid
0.0ms2×body128invalid
Compiler

Compiled 32 to 26 computations (18.8% saved)

simplify11.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
14×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
11213
21813
32613
43413
55213
67713
79413
811113
912113
1012513
1112713
1211313

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
17.9b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶17.9b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 39 to 31 computations (20.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓4.8b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series6.0ms (0.2%)

Counts
2 → 24
Calls

2 calls:

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

rewrite71.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Rules
377×*-un-lft-identity_binary64
375×times-frac_binary64
284×add-sqr-sqrt_binary64
260×add-cube-cbrt_binary64
234×prod-diff_binary64
Counts
2 → 337
Calls

2 calls:

19.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
4.0ms
(/.f64 1 (+.f64 x 1))

simplify286.0ms (8.5%)

Algorithm
1×egg-herbie
Rules
781×fma-def_binary64
395×sub-neg_binary64
340×times-frac_binary64
306×div-sub_binary64
297×associate-*l*_binary64
Counts
361 → 324
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
018311806
13806831
210405351
337265350
441765350
544255342
648035342

prune321.0ms (9.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3213324
Fresh000
Picked101
Done000
Total3223325
Error
0.2b
Counts
325 → 3
Alt Table
StatusErrorProgram
35.9b
(-.f64 (fma.f64 x x 1) (+.f64 x (/.f64 1 x)))
▶0.2b
(/.f64 -1 (fma.f64 x x x))
31.8b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
Compiler

Compiled 11308 to 8607 computations (23.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 -1 (fma.f64 x x x))

series3.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

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

rewrite4.0ms (0.1%)

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 -1 (fma.f64 x x x))

simplify77.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
888×fma-neg_binary64
327×distribute-rgt-out_binary64
306×unswap-sqr_binary64
201×sub-neg_binary64
188×cancel-sign-sub-inv_binary64
Counts
41 → 52
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
078654
1148618
2308611
3680611
42297611
54211603
64978603
74914603

prune33.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New48452
Fresh112
Picked011
Done000
Total49655
Error
0.2b
Counts
55 → 6
Alt Table
StatusErrorProgram
35.9b
(-.f64 (fma.f64 x x 1) (+.f64 x (/.f64 1 x)))
29.4b
(cbrt.f64 (/.f64 (*.f64 (*.f64 -1 -1) -1) (*.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x))))
15.5b
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)))
1.2b
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (fma.f64 x x x)))) (cbrt.f64 (fma.f64 x x x)))
✓0.2b
(/.f64 -1 (fma.f64 x x x))
▶1.1b
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x x x))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x)))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x))))
Compiler

Compiled 834 to 436 computations (47.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 -1 (fma.f64 x x x))
✓0.3b
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x x x))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x)))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x))))
✓0.4b
(*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x x x))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x))))
✓15.3b
(cbrt.f64 (/.f64 -1 (fma.f64 x x x)))

series74.0ms (2.2%)

Counts
3 → 36
Calls

3 calls:

38.0ms
(*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x x x))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x))))
26.0ms
(cbrt.f64 (/.f64 -1 (fma.f64 x x x)))
10.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x x x))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x)))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x))))

rewrite40.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
92×cbrt-prod_binary64
78×add-sqr-sqrt_binary64
61×times-frac_binary64
50×*-un-lft-identity_binary64
50×add-cube-cbrt_binary64
Counts
3 → 160
Calls

3 calls:

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

simplify139.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
688×fma-neg_binary64
406×fma-def_binary64
279×cancel-sign-sub-inv_binary64
226×associate-/l*_binary64
221×associate-*l*_binary64
Counts
196 → 275
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02725284
15875046
217394578
345544570
450274570

prune403.0ms (12%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New5261527
Fresh044
Picked011
Done011
Total5267533
Error
0.2b
Counts
533 → 7
Alt Table
StatusErrorProgram
35.9b
(-.f64 (fma.f64 x x 1) (+.f64 x (/.f64 1 x)))
29.4b
(cbrt.f64 (/.f64 (*.f64 (*.f64 -1 -1) -1) (*.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x))))
15.5b
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)))
1.2b
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (fma.f64 x x x)))) (cbrt.f64 (fma.f64 x x x)))
✓0.2b
(/.f64 -1 (fma.f64 x x x))
✓1.1b
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x x x))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x)))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x))))
▶1.0b
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x x x))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x)))) (/.f64 (cbrt.f64 -1) (cbrt.f64 (fma.f64 x x x))))
Compiler

Compiled 16667 to 9222 computations (44.7% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (cbrt.f64 -1) (cbrt.f64 (fma.f64 x x x)))
0.4b
(*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x x x))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x))))
15.3b
(cbrt.f64 (/.f64 -1 (fma.f64 x x x)))
✓15.7b
(cbrt.f64 (fma.f64 x x x))

series30.0ms (0.9%)

Counts
2 → 24
Calls

2 calls:

24.0ms
(/.f64 (cbrt.f64 -1) (cbrt.f64 (fma.f64 x x x)))
6.0ms
(cbrt.f64 (fma.f64 x x x))

rewrite9.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
45×cbrt-prod_binary64
36×times-frac_binary64
31×*-un-lft-identity_binary64
31×add-sqr-sqrt_binary64
31×add-cube-cbrt_binary64
Counts
2 → 75
Calls

2 calls:

3.0ms
(/.f64 (cbrt.f64 -1) (cbrt.f64 (fma.f64 x x x)))
1.0ms
(cbrt.f64 (fma.f64 x x x))

simplify96.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
728×fma-neg_binary64
582×cancel-sign-sub-inv_binary64
414×associate-/l*_binary64
321×times-frac_binary64
284×fma-def_binary64
Counts
99 → 120
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01642397
13652329
28522262
321842216
445652216
551592216

prune292.0ms (8.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3530353
Fresh044
Picked011
Done022
Total3537360
Error
0.2b
Counts
360 → 7
Alt Table
StatusErrorProgram
35.9b
(-.f64 (fma.f64 x x 1) (+.f64 x (/.f64 1 x)))
29.4b
(cbrt.f64 (/.f64 (*.f64 (*.f64 -1 -1) -1) (*.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x))))
15.5b
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)))
1.2b
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (fma.f64 x x x)))) (cbrt.f64 (fma.f64 x x x)))
✓0.2b
(/.f64 -1 (fma.f64 x x x))
✓1.1b
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x x x))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x)))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x))))
✓1.0b
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x x x))) (cbrt.f64 (/.f64 -1 (fma.f64 x x x)))) (/.f64 (cbrt.f64 -1) (cbrt.f64 (fma.f64 x x x))))
Compiler

Compiled 12499 to 6844 computations (45.2% saved)

regimes164.0ms (4.8%)

Accuracy

Total 0.1b remaining (15.8%)

Threshold costs 0.1b (15.8%)

Counts
81 → 1
Compiler

Compiled 3766 to 2812 computations (25.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
158

end83.0ms (2.5%)

Compiler

Compiled 137 to 70 computations (48.9% saved)

Profiling

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