Details

Time bar (total: 2.6s)

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)

sample810.0ms (31.3%)

Infinites
0% of outputs are infinite.
Results
581.0ms8256×body128valid
Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify86.0ms (3.3%)

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

prune2.0ms (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))

series19.0ms (0.7%)

Counts
1 → 36
Calls

1 calls:

19.0ms
(/.f64 (-.f64 x lo) (-.f64 hi lo))

rewrite12.0ms (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:

8.0ms
(/.f64 (-.f64 x lo) (-.f64 hi lo))

simplify78.0ms (3%)

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 (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New80484
Fresh000
Picked101
Done000
Total81485
Error
51.2b
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)))))
57.1b
(-.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))
1.5b
(+.f64 1 (/.f64 hi lo))

series56.0ms (2.2%)

Counts
4 → 90
Calls

4 calls:

22.0ms
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
15.0ms
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
13.0ms
(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
4.0ms
(+.f64 1 (/.f64 hi lo))

rewrite32.0ms (1.2%)

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:

9.0ms
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
9.0ms
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
4.0ms
(+.f64 1 (/.f64 hi lo))
4.0ms
(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))

simplify70.0ms (2.7%)

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

prune161.0ms (6.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New18312195
Fresh123
Picked101
Done000
Total18514199
Error
51.2b
Counts
199 → 14
Alt Table
StatusErrorProgram
51.9b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
51.9b
(-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)) (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)))) (/.f64 (cbrt.f64 hi) (cbrt.f64 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 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 1 (/.f64 hi lo)) (/.f64 x lo)))
57.1b
(-.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 (log1p.f64 (expm1.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)))
51.9b
(-.f64 (expm1.f64 (log1p.f64 (+.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 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))) (sqrt.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 (*.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 (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)))
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)))
Compiler

Compiled 6413 to 2953 computations (54% 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))
1.5b
(+.f64 1 (/.f64 hi lo))

series53.0ms (2.1%)

Counts
1 → 36
Calls

1 calls:

53.0ms
(*.f64 (/.f64 hi lo) (/.f64 x lo))

rewrite13.0ms (0.5%)

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:

9.0ms
(*.f64 (/.f64 hi lo) (/.f64 x lo))

simplify90.0ms (3.5%)

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

prune103.0ms (4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New18211193
Fresh10313
Picked101
Done000
Total19314207
Error
51.2b
Counts
207 → 14
Alt Table
StatusErrorProgram
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 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (/.f64 x lo))
51.9b
(-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)) (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)))) (/.f64 (cbrt.f64 hi) (cbrt.f64 lo)))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
57.1b
(-.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 (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 (*.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 (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))) (sqrt.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 1 (/.f64 hi lo)) (/.f64 hi lo))) (*.f64 hi (*.f64 (/.f64 1 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 (expm1.f64 (log1p.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
51.9b
(-.f64 (log1p.f64 (expm1.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)))
51.9b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo))) (*.f64 (/.f64 hi lo) (/.f64 x 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 hi lo) (/.f64 x lo)))
Compiler

Compiled 5961 to 2296 computations (61.5% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
0.5b
(*.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))
0.5b
(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)))))
1.5b
(+.f64 1 (/.f64 hi lo))

series29.0ms (1.1%)

Counts
2 → 48
Calls

2 calls:

15.0ms
(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)))))
13.0ms
(*.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))

rewrite29.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
33×flip-+_binary64
33×flip3-+_binary64
32×frac-times_binary64
26×cbrt-div_binary64
16×associate-*l/_binary64
Counts
2 → 75
Calls

2 calls:

9.0ms
(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)))))
6.0ms
(*.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))

simplify107.0ms (4.1%)

Algorithm
egg-herbie
Rules
527×associate-*l/_binary64
504×associate-*r/_binary64
443×associate-+l+_binary64
227×distribute-rgt-in_binary64
222×distribute-lft-in_binary64
Counts
123 → 130
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01706665
14165470
215435028
350285028

prune257.0ms (9.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3745379
Fresh12113
Picked101
Done000
Total3876393
Error
49.4b
Counts
393 → 6
Alt Table
StatusErrorProgram
57.8b
(-.f64 (*.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))) (*.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)))
55.6b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 1 (*.f64 1 (/.f64 hi lo)))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
55.6b
(-.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 1 (/.f64 hi lo))))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
55.7b
(-.f64 (cbrt.f64 (*.f64 (+.f64 1 (fma.f64 2 (pow.f64 (/.f64 hi lo) 3) (fma.f64 (/.f64 hi lo) 2 (*.f64 (*.f64 (/.f64 hi lo) (/.f64 hi lo)) 3)))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
51.5b
(-.f64 (*.f64 (/.f64 hi lo) (/.f64 hi lo)) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
Compiler

Compiled 21387 to 9614 computations (55% saved)

regimes404.0ms (15.6%)

Accuracy

Total 2.0b remaining (3.8%)

Threshold costs 0b (0%)

Counts
95 → 1
Compiler

Compiled 10582 to 6060 computations (42.7% 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
0922
11522
22722
33722
44522
54922
65022
75022

end97.0ms (3.8%)

Compiler

Compiled 242 to 123 computations (49.2% saved)

Profiling

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