Details

Time bar (total: 2.7s)

analyze2.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.1s (38.9%)

Results
852.0ms8256×body128valid
Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify84.0ms (3.1%)

Algorithm
egg-herbie
Rules
649×fma-neg_binary64
504×div-sub_binary64
481×fma-def_binary64
326×times-frac_binary64
174×associate-/l/_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
22110
33710
46410
511310
621610
741510
875410
9118310
10153710
11161210
12165710
13168410
14169410
15170210
16170210
17160010

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
62.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
62.0b
(/.f64 (-.f64 x lo) (-.f64 hi lo))
Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
62.0b
(/.f64 (-.f64 x lo) (-.f64 hi lo))

series17.0ms (0.6%)

Counts
1 → 36
Calls

1 calls:

17.0ms
(/.f64 (-.f64 x lo) (-.f64 hi lo))

rewrite11.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity_binary64
37×add-sqr-sqrt_binary64
25×times-frac_binary64
13×add-cube-cbrt_binary64
12×distribute-lft-out--_binary64
Counts
1 → 54
Calls

1 calls:

7.0ms
(/.f64 (-.f64 x lo) (-.f64 hi lo))

simplify77.0ms (2.8%)

Algorithm
egg-herbie
Rules
810×fma-neg_binary64
418×fma-def_binary64
402×associate--l+_binary64
279×cancel-sign-sub-inv_binary64
264×times-frac_binary64
Counts
90 → 84
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01622093
14362033
213581879
346431879
453461879

prune41.0ms (1.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New80484
Fresh000
Picked101
Done000
Total81485
Error
51.3b
Counts
85 → 4
Alt Table
StatusErrorProgram
52.0b
(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3)))
51.9b
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
57.3b
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (pow.f64 (/.f64 hi lo) 3))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
51.9b
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
Compiler

Compiled 1901 to 683 computations (64.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
0.2b
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
0.4b
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
1.6b
(+.f64 1 (/.f64 hi lo))

series48.0ms (1.8%)

Counts
4 → 90
Calls

4 calls:

20.0ms
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
12.0ms
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
11.0ms
(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
5.0ms
(+.f64 1 (/.f64 hi lo))

rewrite30.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
28×*-un-lft-identity_binary64
26×associate-*r*_binary64
22×add-cube-cbrt_binary64
20×times-frac_binary64
Counts
4 → 111
Calls

4 calls:

10.0ms
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
8.0ms
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
4.0ms
(+.f64 1 (/.f64 hi lo))
2.0ms
(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))

simplify72.0ms (2.6%)

Algorithm
egg-herbie
Rules
553×associate-*l/_binary64
505×distribute-rgt-in_binary64
475×distribute-lft-in_binary64
415×fma-def_binary64
398×associate-/l*_binary64
Counts
201 → 173
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01743122
14442831
215262532
351422532

prune168.0ms (6.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New18312195
Fresh123
Picked101
Done000
Total18514199
Error
51.3b
Counts
199 → 14
Alt Table
StatusErrorProgram
51.9b
(-.f64 (/.f64 (+.f64 (pow.f64 1 3) (pow.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) 3)) (+.f64 (*.f64 1 1) (-.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (*.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
52.0b
(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3)))
51.9b
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1) 3)) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
57.3b
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (pow.f64 (/.f64 hi lo) 3))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
51.9b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
51.9b
(-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (/.f64 (cbrt.f64 hi) lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
51.9b
(-.f64 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
51.9b
(-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (*.f64 (cbrt.f64 (/.f64 hi lo)) (cbrt.f64 (/.f64 hi lo)))) (cbrt.f64 (/.f64 hi lo)))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
51.9b
(-.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) (sqrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
51.9b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
51.9b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
51.9b
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (/.f64 x lo))
51.9b
(-.f64 (expm1.f64 (log1p.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
51.9b
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
Compiler

Compiled 6495 to 2991 computations (53.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
0.2b
(*.f64 (/.f64 hi lo) (/.f64 x lo))
0.4b
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
1.6b
(+.f64 1 (/.f64 hi lo))

series47.0ms (1.7%)

Counts
1 → 36
Calls

1 calls:

47.0ms
(*.f64 (/.f64 hi lo) (/.f64 x lo))

rewrite11.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64
22×times-frac_binary64
15×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
13×associate-*r*_binary64
Counts
1 → 52
Calls

1 calls:

7.0ms
(*.f64 (/.f64 hi lo) (/.f64 x lo))

simplify89.0ms (3.3%)

Algorithm
egg-herbie
Rules
492×associate-*l/_binary64
475×associate-/l*_binary64
433×associate-*r/_binary64
426×associate-*l*_binary64
344×associate-*r*_binary64
Counts
88 → 82
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01071175
12981067
28661053
334691041
438631041
549161041
650191041

prune107.0ms (3.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New18211193
Fresh10313
Picked101
Done000
Total19314207
Error
51.3b
Counts
207 → 14
Alt Table
StatusErrorProgram
51.9b
(-.f64 (expm1.f64 (log1p.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
52.0b
(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3)))
51.9b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
51.9b
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (*.f64 hi (*.f64 (/.f64 1 lo) (/.f64 x lo))))
51.9b
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1) 3)) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
51.9b
(-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (*.f64 (cbrt.f64 (/.f64 hi lo)) (cbrt.f64 (/.f64 hi lo)))) (cbrt.f64 (/.f64 hi lo)))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
51.9b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
51.9b
(-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (/.f64 (cbrt.f64 hi) lo))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
51.9b
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (/.f64 x lo))
51.9b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
51.9b
(-.f64 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
57.3b
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (pow.f64 (/.f64 hi lo) 3))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
51.9b
(-.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) (sqrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
51.9b
(-.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) 3)) (fma.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) -1) 1)) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
Compiler

Compiled 6009 to 2308 computations (61.6% saved)

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (+.f64 1 (pow.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) 3)) (fma.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) -1) 1))
0.7b
(pow.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) 3)
1.6b
(+.f64 1 (/.f64 hi lo))
1.6b
(fma.f64 hi (/.f64 hi lo) hi)

series65.0ms (2.4%)

Counts
3 → 72
Calls

3 calls:

44.0ms
(/.f64 (+.f64 1 (pow.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) 3)) (fma.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) -1) 1))
14.0ms
(pow.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) 3)
7.0ms
(fma.f64 hi (/.f64 hi lo) hi)

rewrite24.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity_binary64
30×times-frac_binary64
27×add-sqr-sqrt_binary64
27×add-cube-cbrt_binary64
13×cube-prod_binary64
Counts
3 → 93
Calls

3 calls:

9.0ms
(/.f64 (+.f64 1 (pow.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) 3)) (fma.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) -1) 1))
3.0ms
(pow.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) 3)
0.0ms
(fma.f64 hi (/.f64 hi lo) hi)

simplify117.0ms (4.3%)

Algorithm
egg-herbie
Rules
416×fma-def_binary64
415×fma-neg_binary64
395×unswap-sqr_binary64
267×log-prod_binary64
229×distribute-rgt-in_binary64
Counts
165 → 124
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01794990
14654629
215364489
340924477
449744477

prune101.0ms (3.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1594163
Fresh12113
Picked101
Done000
Total1725177
Error
48.1b
Counts
177 → 5
Alt Table
StatusErrorProgram
52.0b
(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3)))
57.7b
(-.f64 (*.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
51.3b
(-.f64 (*.f64 (/.f64 hi lo) (/.f64 hi lo)) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
56.9b
(-.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 hi lo) 3)) (fma.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) -1) 1)) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
48.6b
(-.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) 3)) (fma.f64 (/.f64 hi lo) (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) -1) 1)) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
Compiler

Compiled 8397 to 2869 computations (65.8% saved)

regimes424.0ms (15.4%)

Accuracy

Total 0.4b remaining (0.9%)

Threshold costs 0.4b (0.9%)

Counts
107 → 1
Compiler

Compiled 11854 to 6736 computations (43.2% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01952
12952
23952
34952
45752
56152
66252
76152

end97.0ms (3.5%)

Compiler

Compiled 229 to 114 computations (50.2% saved)

Profiling

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