Details

Time bar (total: 5.5s)

analyze1.4s (24.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.1s (19.4%)

Results
861.0ms8256×body128valid
Compiler

Compiled 27 to 17 computations (37% saved)

simplify88.0ms (1.6%)

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%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

series21.0ms (0.4%)

Counts
1 → 36
Calls

1 calls:

21.0ms
(/.f64 (-.f64 x lo) (-.f64 hi lo))

rewrite10.0ms (0.2%)

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))

simplify78.0ms (1.4%)

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

prune43.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New81384
Fresh000
Picked101
Done000
Total82385
Error
51.3b
Counts
85 → 3
Alt Table
StatusErrorProgram
57.4b
(-.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 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi 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)))
Compiler

Compiled 1853 to 655 computations (64.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))
0.2b
(*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
0.4b
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
1.9b
(+.f64 1 (/.f64 hi lo))

series177.0ms (3.2%)

Counts
4 → 102
Calls

4 calls:

88.0ms
(+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))
68.0ms
(*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
16.0ms
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
5.0ms
(+.f64 1 (/.f64 hi lo))

rewrite46.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
31×*-un-lft-identity_binary64
30×add-cbrt-cube_binary64
30×add-exp-log_binary64
28×times-frac_binary64
Counts
4 → 142
Calls

4 calls:

13.0ms
(*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
9.0ms
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
7.0ms
(+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))
5.0ms
(+.f64 1 (/.f64 hi lo))

simplify107.0ms (1.9%)

Algorithm
egg-herbie
Rules
928×distribute-rgt-in_binary64
855×fma-def_binary64
347×associate-*r*_binary64
261×associate-*l*_binary64
191×*-commutative_binary64
Counts
244 → 229
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02474910
16704550
224174057
352964057

prune261.0ms (4.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New3039312
Fresh022
Picked101
Done000
Total30411315
Error
51.3b
Counts
315 → 11
Alt Table
StatusErrorProgram
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 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
51.9b
(-.f64 (+.f64 1 (log.f64 (exp.f64 (*.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)))))
51.8b
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
57.4b
(-.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 (+.f64 1 (/.f64 hi lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (/.f64 (cbrt.f64 hi) lo))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi 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 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 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
51.9b
(-.f64 (+.f64 1 (log.f64 (exp.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
51.9b
(-.f64 (+.f64 1 (*.f64 (log.f64 (exp.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)))))
51.9b
(-.f64 (+.f64 1 (*.f64 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (/.f64 hi lo)))) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
51.9b
(-.f64 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)) (cbrt.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo))) (cbrt.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
Compiler

Compiled 12513 to 4969 computations (60.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))
0.4b
(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
0.6b
(*.f64 (/.f64 hi lo) (/.f64 hi lo))
1.9b
(+.f64 1 (/.f64 hi lo))

series110.0ms (2%)

Counts
2 → 60
Calls

2 calls:

79.0ms
(*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))
31.0ms
(*.f64 (/.f64 hi lo) (/.f64 hi lo))

rewrite87.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
55×add-cbrt-cube_binary64
55×add-exp-log_binary64
52×add-sqr-sqrt_binary64
50×times-frac_binary64
37×*-un-lft-identity_binary64
Counts
2 → 124
Calls

2 calls:

13.0ms
(*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))
8.0ms
(*.f64 (/.f64 hi lo) (/.f64 hi lo))

simplify133.0ms (2.4%)

Algorithm
egg-herbie
Rules
825×times-frac_binary64
494×associate-/l/_binary64
407×associate-/r*_binary64
303×log-prod_binary64
242×associate-*r*_binary64
Counts
184 → 182
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01883186
15132529
217312345
345142345
450572345

prune222.0ms (4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New2569265
Fresh8210
Picked101
Done000
Total26511276
Error
51.3b
Counts
276 → 11
Alt Table
StatusErrorProgram
57.4b
(-.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)))))
51.8b
(-.f64 (+.f64 1 (log.f64 (exp.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi 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)))
51.8b
(-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (/.f64 (cbrt.f64 hi) lo))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
51.8b
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (*.f64 x (*.f64 (/.f64 1 lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo))))))
51.8b
(-.f64 (+.f64 1 (log.f64 (exp.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
51.8b
(-.f64 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)) (cbrt.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo))) (cbrt.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
51.8b
(-.f64 (+.f64 1 (*.f64 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (/.f64 hi lo)))) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
51.8b
(-.f64 (+.f64 1 (*.f64 (log.f64 (exp.f64 (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
51.8b
(-.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 x lo) (*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
51.8b
(-.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 x lo) (*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
Compiler

Compiled 9943 to 3142 computations (68.4% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (cbrt.f64 lo) (cbrt.f64 lo))
0.6b
(*.f64 (/.f64 hi lo) (/.f64 hi lo))
0.6b
(*.f64 (cbrt.f64 hi) (cbrt.f64 hi))
1.9b
(+.f64 1 (/.f64 hi lo))

series79.0ms (1.4%)

Counts
2 → 24
Calls

2 calls:

42.0ms
(*.f64 (cbrt.f64 hi) (cbrt.f64 hi))
37.0ms
(*.f64 (cbrt.f64 lo) (cbrt.f64 lo))

rewrite14.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt_binary64
32×cbrt-prod_binary64
18×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64
16×pow1_binary64
Counts
2 → 84
Calls

2 calls:

5.0ms
(*.f64 (cbrt.f64 hi) (cbrt.f64 hi))
4.0ms
(*.f64 (cbrt.f64 lo) (cbrt.f64 lo))

simplify100.0ms (1.8%)

Algorithm
egg-herbie
Rules
900×log-prod_binary64
472×sqr-pow_binary64
354×unswap-sqr_binary64
314×log-pow_binary64
300×distribute-rgt-in_binary64
Counts
108 → 112
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086986
1148922
2370850
3907822
41772666
52645666
64201666
74949666
84973666

prune169.0ms (3.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2324236
Fresh7310
Picked101
Done000
Total2407247
Error
51.3b
Counts
247 → 7
Alt Table
StatusErrorProgram
57.4b
(-.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)))))
51.8b
(-.f64 (+.f64 1 (log.f64 (exp.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
51.8b
(-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)))) (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)))) (/.f64 (cbrt.f64 hi) (cbrt.f64 lo)))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
51.8b
(-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)) (*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 lo)) (cbrt.f64 (cbrt.f64 lo))) (*.f64 (cbrt.f64 (cbrt.f64 lo)) (cbrt.f64 (cbrt.f64 lo)))) (*.f64 (cbrt.f64 (cbrt.f64 lo)) (cbrt.f64 (cbrt.f64 lo)))))) (/.f64 (cbrt.f64 hi) (cbrt.f64 lo)))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
51.8b
(-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 hi)) (cbrt.f64 (cbrt.f64 hi))) (*.f64 (cbrt.f64 (cbrt.f64 hi)) (cbrt.f64 (cbrt.f64 hi)))) (*.f64 (cbrt.f64 (cbrt.f64 hi)) (cbrt.f64 (cbrt.f64 hi)))) (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)))) (/.f64 (cbrt.f64 hi) (cbrt.f64 lo)))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
51.8b
(-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)) (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)))))) (/.f64 (cbrt.f64 hi) (cbrt.f64 lo)))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi 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)))
Compiler

Compiled 11383 to 2828 computations (75.2% saved)

regimes1.1s (20.5%)

Accuracy

Total 0.6b remaining (1.2%)

Threshold costs 0.6b (1.2%)

Counts
215 → 1
Compiler

Compiled 36274 to 17804 computations (50.9% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
12440
23240
34840
46540
57540
68040
78140
88040

end144.0ms (2.6%)

Compiler

Compiled 380 to 172 computations (54.7% saved)

Profiling

Loading profile data...