Details

Time bar (total: 3.3s)

analyze10.0ms (0.3%)

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 (37.1%)

Results
449.0ms4776×body128valid
433.0ms2007×body512valid
159.0ms392×body1024valid
157.0ms1081×body256valid
Compiler

Compiled 32 to 26 computations (18.8% saved)

simplify10.0ms (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
10.8b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶10.8b
(-.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 1 expressions with local error:

NewErrorProgram
✓1.8b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series3.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

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

rewrite105.0ms (3.1%)

Algorithm
1×rewrite-expression-head
Rules
363×times-frac_binary64
359×*-un-lft-identity_binary64
274×add-sqr-sqrt_binary64
250×add-cube-cbrt_binary64
234×prod-diff_binary64
Counts
1 → 298
Calls

1 calls:

59.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

simplify333.0ms (10%)

Algorithm
1×egg-herbie
Rules
933×fma-neg_binary64
827×difference-of-squares_binary64
554×fma-def_binary64
331×times-frac_binary64
287×sub-neg_binary64
Counts
310 → 269
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016111244
13286283
28644815
329704806
440014806
547334806
648474806
749924806
847864806

prune267.0ms (8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New2681269
Fresh000
Picked101
Done000
Total2691270
Error
0.6b
Counts
270 → 1
Alt Table
StatusErrorProgram
▶0.6b
(/.f64 -1 (fma.f64 x x x))
Compiler

Compiled 10441 to 7920 computations (24.1% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.6b
(/.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))

rewrite3.0ms (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))

simplify79.0ms (2.4%)

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

prune30.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New49352
Fresh000
Picked011
Done000
Total49453
Error
0.4b
Counts
53 → 4
Alt Table
StatusErrorProgram
✓0.6b
(/.f64 -1 (fma.f64 x x x))
▶18.5b
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)))
31.4b
(cbrt.f64 (*.f64 (*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -1 (fma.f64 x x x))) (/.f64 -1 (fma.f64 x x x))))
31.5b
(*.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) (/.f64 -1 (hypot.f64 x (sqrt.f64 x))))
Compiler

Compiled 752 to 398 computations (47.1% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 -1 (sqrt.f64 (fma.f64 x x x)))
✓0.1b
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)))
✓15.9b
(sqrt.f64 (fma.f64 x x x))

series12.0ms (0.4%)

Counts
3 → 28
Calls

3 calls:

5.0ms
(/.f64 -1 (sqrt.f64 (fma.f64 x x x)))
4.0ms
(sqrt.f64 (fma.f64 x x x))
3.0ms
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)))

rewrite44.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
276×times-frac_binary64
157×add-sqr-sqrt_binary64
156×*-un-lft-identity_binary64
156×add-cube-cbrt_binary64
147×sqrt-prod_binary64
Counts
3 → 233
Calls

3 calls:

9.0ms
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)))
3.0ms
(/.f64 -1 (sqrt.f64 (fma.f64 x x x)))
1.0ms
(sqrt.f64 (fma.f64 x x x))

simplify268.0ms (8%)

Algorithm
1×egg-herbie
Rules
462×associate-/l/_binary64
429×fma-def_binary64
311×times-frac_binary64
294×associate-/r*_binary64
230×fma-neg_binary64
Counts
261 → 339
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02648068
15907401
211636523
328596418
446966408
549976408
649076408

prune197.0ms (5.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3752377
Fresh112
Picked011
Done011
Total3765381
Error
0.4b
Counts
381 → 5
Alt Table
StatusErrorProgram
✓0.6b
(/.f64 -1 (fma.f64 x x x))
✓18.5b
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)))
▶18.6b
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (sqrt.f64 (fma.f64 x x x)))))
31.4b
(cbrt.f64 (*.f64 (*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -1 (fma.f64 x x x))) (/.f64 -1 (fma.f64 x x x))))
31.4b
(/.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
Compiler

Compiled 8887 to 3120 computations (64.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 -1 (sqrt.f64 (fma.f64 x x x)))
✓0.1b
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (sqrt.f64 (fma.f64 x x x)))))
✓0.4b
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (sqrt.f64 (fma.f64 x x x))))
15.9b
(sqrt.f64 (fma.f64 x x x))

series8.0ms (0.2%)

Counts
2 → 20
Calls

2 calls:

4.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (sqrt.f64 (fma.f64 x x x))))
4.0ms
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (sqrt.f64 (fma.f64 x x x)))))

rewrite37.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
92×sqrt-prod_binary64
86×add-sqr-sqrt_binary64
58×times-frac_binary64
40×*-un-lft-identity_binary64
40×add-cube-cbrt_binary64
Counts
2 → 151
Calls

2 calls:

10.0ms
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (sqrt.f64 (fma.f64 x x x)))))
8.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (sqrt.f64 (fma.f64 x x x))))

simplify122.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
525×associate-/l*_binary64
441×associate-*l*_binary64
402×fma-def_binary64
365×associate-/r/_binary64
352×associate-*l/_binary64
Counts
171 → 215
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02042983
14142602
213772408
339672371
449052371
549222371

prune206.0ms (6.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4060406
Fresh022
Picked011
Done022
Total4065411
Error
0.4b
Counts
411 → 5
Alt Table
StatusErrorProgram
✓0.6b
(/.f64 -1 (fma.f64 x x x))
✓18.5b
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)))
✓18.6b
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (sqrt.f64 (fma.f64 x x x)))))
31.4b
(cbrt.f64 (*.f64 (*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -1 (fma.f64 x x x))) (/.f64 -1 (fma.f64 x x x))))
31.4b
(/.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
Compiler

Compiled 10481 to 3070 computations (70.7% saved)

regimes271.0ms (8.1%)

Accuracy

Total 0.2b remaining (57.6%)

Threshold costs 0.2b (57.6%)

Counts
124 → 1
Compiler

Compiled 4816 to 3424 computations (28.9% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
158

end66.0ms (2%)

Compiler

Compiled 92 to 44 computations (52.2% saved)

Profiling

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