Details

Time bar (total: 2.3s)

analyze100.0ms (4.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 21 to 16 computations (23.8% saved)

sample28.0ms (1.2%)

Algorithm
1×intervals
Results
21.0ms256×body128valid
Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify83.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
750×div-sub_binary64
748×fma-neg_binary64
599×fma-def_binary64
502×associate-/l*_binary64
423×distribute-rgt-in_binary64
Counts
1 → 1
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01529
13729
28227
320127
452627
599125
6161425
7327325
8365325
9469425
10494225

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
▶0.0b
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
Compiler

Compiled 94 to 72 computations (23.4% saved)

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
0.0b
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))
0.0b
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))

rewrite161.0ms (7.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
36×distribute-rgt-in_binary64
22×add-sqr-sqrt_binary64
20×add-exp-log_binary64
16×fma-udef_binary64
14×pow1_binary64
Counts
3 → 121
Calls

3 calls:

18.0ms
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
17.0ms
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))
10.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
Compiler

Compiled 2859 to 2231 computations (22% saved)

series47.0ms (2.1%)

Error
0.0b
Counts
3 → 18
Calls

3 calls:

13.0ms
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
11.0ms
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))
7.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
Compiler

Compiled 736 to 644 computations (12.5% saved)

simplify112.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
673×fma-def_binary64
445×cancel-sign-sub-inv_binary64
377×fma-neg_binary64
309×associate-*r*_binary64
303×associate-*l*_binary64
Counts
139 → 53
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01852577
15102279
220852245
349552245
449902245

prune35.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New51253
Fresh101
Picked101
Done000
Total53255
Error
0b
Counts
55 → 2
Alt Table
StatusErrorProgram
1.0b
(/.f64 (*.f64 2 (*.f64 (fma.f64 v (*.f64 v -3) 1) (fma.f64 (pow.f64 v 4) 1/16 -1/16))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))) (fma.f64 (*.f64 v v) -1/4 -1/4)))
▶0.0b
(sqrt.f64 (*.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 2) (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))
Compiler

Compiled 975 to 754 computations (22.7% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (*.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 2) (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))
0.0b
(*.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 2) (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))
0.0b
(pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 2)

rewrite134.0ms (5.9%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
15×add-sqr-sqrt_binary64
14×distribute-rgt-in_binary64
13×pow1_binary64
12×add-exp-log_binary64
12×add-cube-cbrt_binary64
Counts
3 → 120
Calls

3 calls:

16.0ms
(*.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 2) (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))
14.0ms
(pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 2)
11.0ms
(sqrt.f64 (*.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 2) (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))
Compiler

Compiled 2645 to 2107 computations (20.3% saved)

series38.0ms (1.7%)

Error
0b
Counts
3 → 16
Calls

3 calls:

13.0ms
(*.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 2) (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))
9.0ms
(pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 2)
7.0ms
(sqrt.f64 (*.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 2) (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))
Compiler

Compiled 528 to 451 computations (14.6% saved)

simplify76.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
619×distribute-rgt-in_binary64
458×fma-def_binary64
307×unswap-sqr_binary64
250×cancel-sign-sub-inv_binary64
211×associate-*l*_binary64
Counts
136 → 76
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01492246
13601872
215351812
349871812

prune46.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New75176
Fresh101
Picked011
Done000
Total76278
Error
0b
Counts
78 → 2
Alt Table
StatusErrorProgram
▶1.0b
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 6)) (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))
✓0.0b
(sqrt.f64 (*.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 2) (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))
Compiler

Compiled 1180 to 874 computations (25.9% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 6)) (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))
0.0b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 6)) (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))
0.0b
(pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 6)
1.0b
(cbrt.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 6))

rewrite143.0ms (6.3%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
22×add-sqr-sqrt_binary64
19×add-cube-cbrt_binary64
16×add-exp-log_binary64
15×pow1_binary64
14×distribute-rgt-in_binary64
Counts
4 → 147
Calls

4 calls:

16.0ms
(*.f64 (cbrt.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 6)) (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))
13.0ms
(pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 6)
12.0ms
(cbrt.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 6))
12.0ms
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 6)) (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))
Compiler

Compiled 3207 to 2597 computations (19% saved)

series58.0ms (2.6%)

Error
0b
Counts
4 → 22
Calls

4 calls:

17.0ms
(*.f64 (cbrt.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 6)) (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))
11.0ms
(cbrt.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 6))
10.0ms
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 6)) (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))
8.0ms
(pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 6)
Compiler

Compiled 977 to 857 computations (12.3% saved)

simplify105.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
479×fma-def_binary64
381×fma-neg_binary64
339×distribute-rgt-in_binary64
326×distribute-lft-in_binary64
268×cancel-sign-sub-inv_binary64
Counts
169 → 84
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01862990
14472467
215982403
348632399
449922399

prune50.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done011
Total84286
Error
0b
Counts
86 → 2
Alt Table
StatusErrorProgram
1.0b
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 6)) (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))
0.0b
(sqrt.f64 (*.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 2) (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))
Compiler

Compiled 1515 to 1164 computations (23.2% saved)

regimes199.0ms (8.7%)

Accuracy

Total 0.0b remaining (33.9%)

Threshold costs 0.0b (33.9%)

Compiler

Compiled 3967 to 3195 computations (19.5% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01423
11923
21823

end1.0ms (0%)

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample816.0ms (35.9%)

Algorithm
1×intervals
Results
557.0ms8000×body128valid
0.0ms2×body128nan
Compiler

Compiled 78 to 61 computations (21.8% saved)

Profiling

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