Details

Time bar (total: 6.2s)

analyze11.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
50%50%0%5
81.2%18.7%0%6
100%0%0%7
Compiler

Compiled 175 to 47 computations (73.1% saved)

sample2.5s (40.5%)

Results
2.4s8256×body128valid
Compiler

Compiled 524 to 140 computations (73.3% saved)

simplify83.0ms (1.3%)

Algorithm
egg-herbie
Rules
755×unswap-sqr_binary64
705×fma-def_binary64
691×distribute-rgt-out_binary64
576×+-commutative_binary64
488×*-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
046256
1133150
2549101
3242790
4370584
5452984
6487484
7588784

prune9.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
31.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
31.0b
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))
31.0b
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Compiler

Compiled 704 to 274 computations (61.1% saved)

localize35.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 1049934947/10000000000 (*.f64 x x) 1)
0.1b
(fma.f64 (*.f64 x x) 7715471019/10000000000 1)
15.9b
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))
30.5b
(/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))

series18.0ms (0.3%)

Counts
4 → 48
Calls

4 calls:

7.0ms
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))
6.0ms
(/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))
2.0ms
(fma.f64 (*.f64 x x) 7715471019/10000000000 1)
2.0ms
(fma.f64 1049934947/10000000000 (*.f64 x x) 1)

rewrite266.0ms (4.3%)

Algorithm
egg-rewrite
Rules
46×egg
46×egg
19×egg
17×egg
Counts
4 → 128
Calls

4 calls:

82.0ms
(fma.f64 (*.f64 x x) 7715471019/10000000000 1)
80.0ms
(fma.f64 1049934947/10000000000 (*.f64 x x) 1)
52.0ms
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))
49.0ms
(/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03781
178081
2459481
03884
180284
2475684
068
11148
211088
348018
459948
068
11148
211098
348038
459968

simplify62.0ms (1%)

Algorithm
egg-herbie
Rules
710×times-frac_binary64
660×associate-*l*_binary64
648×fma-def_binary64
441×associate-/r*_binary64
428×cancel-sign-sub-inv_binary64
Counts
176 → 164
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074618
1195582
2472574
31235570
43841570
54983570

prune331.0ms (5.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1613164
Fresh101
Picked101
Done000
Total1633166
Error
0b
Counts
166 → 3
Alt Table
StatusErrorProgram
33.4b
(fma.f64 (pow.f64 x 3) -833192009/1250000000 x)
31.0b
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))) 2) 3) (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))))
30.5b
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))
Compiler

Compiled 9620 to 7165 computations (25.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3)))
0.1b
(/.f64 1307076337763/8543989815576 (pow.f64 x 5))
0.4b
(/.f64 600041/2386628 (pow.f64 x 3))

series17.0ms (0.3%)

Counts
4 → 24
Calls

4 calls:

6.0ms
(/.f64 1307076337763/8543989815576 (pow.f64 x 5))
4.0ms
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))
3.0ms
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3)))
3.0ms
(/.f64 600041/2386628 (pow.f64 x 3))

rewrite237.0ms (3.8%)

Algorithm
egg-rewrite
Rules
68×egg
60×egg
46×egg
45×egg
Counts
4 → 219
Calls

4 calls:

84.0ms
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))
63.0ms
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3)))
44.0ms
(/.f64 1307076337763/8543989815576 (pow.f64 x 5))
42.0ms
(/.f64 600041/2386628 (pow.f64 x 3))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11327
214187
349327
067
11347
214647
351537
0913
121511
2277411
3496411
01422
134118
2456418
3476418

simplify133.0ms (2.1%)

Algorithm
egg-herbie
Rules
724×unswap-sqr_binary64
510×sqr-pow_binary64
503×associate-/l/_binary64
501×associate-/r*_binary64
356×times-frac_binary64
Counts
243 → 225
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022321
150321
291321
3149321
4263321
5691321
62517321
73895321
83862321
94136321
104451321
114668321
124877321

prune182.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2250225
Fresh022
Picked011
Done000
Total2253228
Error
0b
Counts
228 → 3
Alt Table
StatusErrorProgram
33.4b
(fma.f64 (pow.f64 x 3) -833192009/1250000000 x)
31.0b
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))) 2) 3) (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))))
30.5b
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))
Compiler

Compiled 5446 to 4373 computations (19.7% saved)

localize39.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))) 2) 3)
15.9b
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))) 2) 3) (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))))
16.5b
(cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))
30.5b
(/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))) 2) 3) (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))))

series51.0ms (0.8%)

Counts
4 → 48
Calls

4 calls:

29.0ms
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))) 2) 3)
8.0ms
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))) 2) 3) (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))))
7.0ms
(cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))
6.0ms
(/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))) 2) 3) (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))))

rewrite288.0ms (4.6%)

Algorithm
egg-rewrite
Rules
34×egg
31×egg
21×egg
19×egg
Counts
4 → 105
Calls

4 calls:

85.0ms
(cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))
77.0ms
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))) 2) 3) (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))))
74.0ms
(/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))) 2) 3) (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))))
49.0ms
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))) 2) 3)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044100
191481
2477381
3554181
0710
113110
2129210
3494510
4642110
045103
193684
2490984
3571384
01215
123611
2207311
3483811

simplify106.0ms (1.7%)

Algorithm
egg-herbie
Rules
674×fma-neg_binary64
494×fma-def_binary64
376×times-frac_binary64
290×associate-/r*_binary64
226×associate-*r*_binary64
Counts
153 → 175
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01591564
14501508
211461252
342181128
449931112
549251112

prune463.0ms (7.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2280228
Fresh011
Picked011
Done011
Total2283231
Error
0b
Counts
231 → 3
Alt Table
StatusErrorProgram
33.4b
(fma.f64 (pow.f64 x 3) -833192009/1250000000 x)
31.0b
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))) 2) 3) (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))))
30.5b
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))
Compiler

Compiled 16848 to 12780 computations (24.1% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (pow.f64 x 3) -833192009/1250000000 x)

series3.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(fma.f64 (pow.f64 x 3) -833192009/1250000000 x)

rewrite80.0ms (1.3%)

Algorithm
egg-rewrite
Rules
49×egg
Counts
1 → 49
Calls

1 calls:

79.0ms
(fma.f64 (pow.f64 x 3) -833192009/1250000000 x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11268
212808
348908
450118

simplify190.0ms (3%)

Algorithm
egg-herbie
Rules
1705×fma-def_binary64
865×fma-neg_binary64
818×unswap-sqr_binary64
615×sqr-pow_binary64
528×cube-prod_binary64
Counts
61 → 54
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
09105
123105
25987
314787
429887
577487
6112087
7171087
8321787
9416487
10427787
11426187
12404487
13330487
14393987
15436087
16481087
17477087

prune36.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New54054
Fresh000
Picked011
Done022
Total54357
Error
0b
Counts
57 → 3
Alt Table
StatusErrorProgram
33.4b
(fma.f64 (pow.f64 x 3) -833192009/1250000000 x)
31.0b
(*.f64 x (/.f64 (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))) 2) 3) (cbrt.f64 (fma.f64 (*.f64 x x) 7715471019/10000000000 1))))))))))
30.5b
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) (/.f64 1307076337763/8543989815576 (pow.f64 x 5)))
Compiler

Compiled 720 to 544 computations (24.4% saved)

regimes813.0ms (13%)

Accuracy

Total 0.0b remaining (56%)

Threshold costs 0.0b (56%)

Counts
141 → 3
Compiler

Compiled 16986 to 12580 computations (25.9% saved)

bsearch80.0ms (1.3%)

Steps
ItersRangePoint
8
1.9473012087413017
1497.2668276720622
81.97336157664523
6
-820.7724480491496
-54.5264116504913
-82.09447112440496
Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060158
164158
263158

end156.0ms (2.5%)

Compiler

Compiled 318 to 243 computations (23.6% saved)

Profiling

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