Details

Time bar (total: 4.1s)

analyze381.0ms (9.4%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0493140
1493140
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%62.4%12.6%6
31.2%50%18.8%7
40.6%37.5%22%8
45.3%26.5%28.2%9
46.8%19.5%33.7%10
48.8%14%37.2%11
51.7%10.1%38.1%12
52.8%7.1%40.1%13
53.3%5.1%41.6%14
Compiler

Compiled 20 to 12 computations (40% saved)

sample20.0ms (0.5%)

Algorithm
intervals
Results
11.0ms256×body128valid
0.0ms10×body128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify151.0ms (3.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (145.0ms)

IterNodesCost
0495620
1495620

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
5.8b
Counts
2 → 2
Compiler

Compiled 41 to 29 computations (29.3% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 (*.f64 x.im x.im) -3)))
0.2b
(*.f64 (*.f64 x.im x.im) -3)
5.7b
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))

rewrite83.0ms (2%)

Algorithm
rewrite-expression-head
Error
5.8b
Rules
17×pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816
add-sqr-sqrt_binary64_1805
add-log-exp_binary64_1822 add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
associate-*l*_binary64_1724 associate-*r*_binary64_1723
*-commutative_binary64_1714
unswap-sqr_binary64_1751 sum-log_binary64_1874 flip3-+_binary64_1786 flip-+_binary64_1757 cube-mult_binary64_1813 distribute-lft-out_binary64_1734 +-commutative_binary64_1713
Counts
3 → 52
Calls

3 calls:

10.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 (*.f64 x.im x.im) -3)))
8.0ms
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))
6.0ms
(*.f64 (*.f64 x.im x.im) -3)
Compiler

Compiled 947 to 550 computations (41.9% saved)

series284.0ms (7%)

Error
5.7b
Counts
3 → 21
Calls

3 calls:

164.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 (*.f64 x.im x.im) -3)))
78.0ms
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))
28.0ms
(*.f64 (*.f64 x.im x.im) -3)
Compiler

Compiled 555 to 476 computations (14.2% saved)

simplify74.0ms (1.8%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049511038
149511038

prune76.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New68573
Fresh011
Picked101
Done000
Total69675
Error
5.7b
Counts
75 → 6
Compiler

Compiled 1079 to 804 computations (25.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 x.im (*.f64 -3 x.im))))
0.2b
(*.f64 x.im (*.f64 -3 x.im))
5.7b
(*.f64 x.re (*.f64 x.im (*.f64 -3 x.im)))

rewrite78.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
17×pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816
associate-*l*_binary64_1724
add-log-exp_binary64_1822 add-cube-cbrt_binary64_1818 add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783
associate-*r*_binary64_1723 *-commutative_binary64_1714
sum-log_binary64_1874 flip3-+_binary64_1786 flip-+_binary64_1757 cube-mult_binary64_1813 distribute-lft-out_binary64_1734 +-commutative_binary64_1713
Counts
3 → 51
Calls

3 calls:

10.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 x.im (*.f64 -3 x.im))))
7.0ms
(*.f64 x.re (*.f64 x.im (*.f64 -3 x.im)))
5.0ms
(*.f64 x.im (*.f64 -3 x.im))
Compiler

Compiled 932 to 604 computations (35.2% saved)

series283.0ms (7%)

Error
5.7b
Counts
3 → 21
Calls

3 calls:

166.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.re (*.f64 x.im (*.f64 -3 x.im))))
76.0ms
(*.f64 x.re (*.f64 x.im (*.f64 -3 x.im)))
28.0ms
(*.f64 x.im (*.f64 -3 x.im))
Compiler

Compiled 555 to 476 computations (14.2% saved)

simplify71.0ms (1.7%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
050151018

prune66.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New71172
Fresh235
Picked011
Done000
Total73578
Error
0.1b
Counts
78 → 5
Compiler

Compiled 1047 to 779 computations (25.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (pow.f64 x.re 3) (*.f64 (*.f64 x.im x.re) (*.f64 -3 x.im)))
0.2b
(*.f64 (*.f64 x.im x.re) (*.f64 -3 x.im))

rewrite52.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
14×pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816
add-log-exp_binary64_1822
add-cube-cbrt_binary64_1818 add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783
associate-*l*_binary64_1724 associate-*r*_binary64_1723 *-commutative_binary64_1714 sum-log_binary64_1874 flip3-+_binary64_1786 flip-+_binary64_1757 +-commutative_binary64_1713
Counts
2 → 33
Calls

2 calls:

9.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 (*.f64 x.im x.re) (*.f64 -3 x.im)))
6.0ms
(*.f64 (*.f64 x.im x.re) (*.f64 -3 x.im))
Compiler

Compiled 650 to 378 computations (41.8% saved)

series244.0ms (6%)

Error
0.1b
Counts
2 → 18
Calls

2 calls:

154.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 (*.f64 x.im x.re) (*.f64 -3 x.im)))
80.0ms
(*.f64 (*.f64 x.im x.re) (*.f64 -3 x.im))
Compiler

Compiled 456 to 392 computations (14% saved)

simplify73.0ms (1.8%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04964829
14964829

prune46.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New50151
Fresh123
Picked011
Done101
Total52456
Error
0.0b
Counts
56 → 4
Compiler

Compiled 735 to 543 computations (26.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (pow.f64 x.re 3) (*.f64 x.im (*.f64 -3 (*.f64 x.im x.re))))
0.1b
(*.f64 x.im (*.f64 -3 (*.f64 x.im x.re)))
0.3b
(*.f64 -3 (*.f64 x.im x.re))

rewrite73.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
17×pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816
associate-*l*_binary64_1724
add-log-exp_binary64_1822 add-cube-cbrt_binary64_1818 add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783
associate-*r*_binary64_1723 *-commutative_binary64_1714
sum-log_binary64_1874 flip3-+_binary64_1786 flip-+_binary64_1757 +-commutative_binary64_1713
Counts
3 → 50
Calls

3 calls:

10.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.im (*.f64 -3 (*.f64 x.im x.re))))
7.0ms
(*.f64 x.im (*.f64 -3 (*.f64 x.im x.re)))
5.0ms
(*.f64 -3 (*.f64 x.im x.re))
Compiler

Compiled 921 to 536 computations (41.8% saved)

series304.0ms (7.5%)

Error
0.0b
Counts
3 → 24
Calls

3 calls:

162.0ms
(+.f64 (pow.f64 x.re 3) (*.f64 x.im (*.f64 -3 (*.f64 x.im x.re))))
72.0ms
(*.f64 x.im (*.f64 -3 (*.f64 x.im x.re)))
57.0ms
(*.f64 -3 (*.f64 x.im x.re))
Compiler

Compiled 654 to 537 computations (17.9% saved)

simplify96.0ms (2.4%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
049741061
149741061

prune59.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New72274
Fresh022
Picked011
Done011
Total72678
Error
0.0b
Counts
78 → 6
Compiler

Compiled 1007 to 694 computations (31.1% saved)

regimes201.0ms (4.9%)

Accuracy

Total 0.2b remaining (91.9%)

Threshold costs 0.2b (91.9%)

Compiler

Compiled 2160 to 1659 computations (23.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
11620

end0.0ms (0%)

sample1.3s (32.2%)

Algorithm
intervals
Results
356.0ms8000×body128valid
16.0ms396×body128invalid
Compiler

Compiled 754 to 577 computations (23.5% saved)

Profiling

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