Details

Time bar (total: 3.7s)

analyze49.0ms (1.3%)

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)

sample45.0ms (1.2%)

Algorithm
1×intervals
Results
12.0ms64×body512valid
10.0ms143×body128valid
8.0ms36×body256valid
3.0ms13×body1024valid
Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify21.0ms (0.6%)

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

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
13.9b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶13.9b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 39 to 31 computations (20.5% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓3.3b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series11.0ms (0.3%)

Counts
2 → 24
Calls

2 calls:

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

rewrite194.0ms (5.2%)

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:

44.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
14.0ms
(/.f64 1 (+.f64 x 1))

simplify479.0ms (12.9%)

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 (8.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3204324
Fresh000
Picked101
Done000
Total3214325
Error
0.2b
Counts
325 → 4
Alt Table
StatusErrorProgram
29.1b
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
32.5b
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1))) 3))
13.9b
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 x))
▶0.3b
(/.f64 -1 (fma.f64 x x x))
Compiler

Compiled 11356 to 8651 computations (23.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(/.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))

simplify86.0ms (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

prune34.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New49352
Fresh213
Picked101
Done000
Total52456
Error
0.2b
Counts
56 → 4
Alt Table
StatusErrorProgram
27.6b
(cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3))
29.0b
(fma.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
▶13.9b
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 x))
15.0b
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)))
Compiler

Compiled 747 to 412 computations (44.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x 1))
✓3.3b
(+.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))

rewrite17.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
27×*-un-lft-identity_binary64
18×fma-def_binary64
16×times-frac_binary64
9×add-sqr-sqrt_binary64
9×add-cube-cbrt_binary64
Counts
1 → 36
Calls

1 calls:

15.0ms
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 x))

simplify56.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
840×fma-def_binary64
698×fma-neg_binary64
436×div-sub_binary64
384×associate-/l*_binary64
219×associate-/r*_binary64
Counts
48 → 56
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058560
1168520
2411516
31239513
43980505
55010505

prune64.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1110111
Fresh033
Picked011
Done000
Total1114115
Error
0.2b
Counts
115 → 4
Alt Table
StatusErrorProgram
27.6b
(cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3))
29.0b
(fma.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
✓13.9b
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 x))
▶15.0b
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)))
Compiler

Compiled 1798 to 1414 computations (21.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 -1 (sqrt.f64 (fma.f64 x x x)))
✓0.2b
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)))
✓17.8b
(sqrt.f64 (fma.f64 x x x))

series17.0ms (0.4%)

Counts
3 → 28
Calls

3 calls:

7.0ms
(/.f64 -1 (sqrt.f64 (fma.f64 x x x)))
7.0ms
(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)))

rewrite62.0ms (1.7%)

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:

11.0ms
(/.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))

simplify460.0ms (12.3%)

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

prune416.0ms (11.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3761377
Fresh022
Picked011
Done011
Total3765381
Error
0.2b
Counts
381 → 5
Alt Table
StatusErrorProgram
15.2b
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (fma.f64 x x x)) (sqrt.f64 (cbrt.f64 (fma.f64 x x x))))) (sqrt.f64 (fma.f64 x x x)))
27.6b
(cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3))
29.0b
(fma.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
✓13.9b
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 x))
✓15.0b
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)))
Compiler

Compiled 8824 to 3101 computations (64.9% saved)

regimes502.0ms (13.5%)

Accuracy

Total 0.0b remaining (12.4%)

Threshold costs 0.0b (12.4%)

Counts
133 → 1
Compiler

Compiled 5111 to 3821 computations (25.2% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1911
2811

end1.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample849.0ms (22.8%)

Algorithm
1×intervals
Results
237.0ms2005×body512valid
202.0ms4594×body128valid
80.0ms978×body256valid
62.0ms423×body1024valid
0.0ms1×body128invalid
Compiler

Compiled 93 to 59 computations (36.6% saved)

Profiling

Loading profile data...