Details

Time bar (total: 2.0s)

analyze119.0ms (5.8%)

Algorithm
search
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)

sample19.0ms (0.9%)

Algorithm
intervals
Results
11.0ms256×body128valid
1.0ms17×body128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify310.0ms (15.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (137.0ms)

IterNodesCost
0495620
1495620

prune5.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.8b

Counts
2 → 2
Compiler

Compiled 71 to 49 computations (31% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (*.f64 x.im x.im) -3)
6.4b
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))

rewrite21.0ms (1%)

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64_2204 add-exp-log_binary64_2181 add-cbrt-cube_binary64_2179
cbrt-unprod_binary64_2176 pow-prod-down_binary64_2214 prod-exp_binary64_2192
add-sqr-sqrt_binary64_2165
associate-*r*_binary64_2083 associate-*l*_binary64_2084 add-cube-cbrt_binary64_2178 *-un-lft-identity_binary64_2143
add-log-exp_binary64_2182 *-commutative_binary64_2074
unswap-sqr_binary64_2111
Counts
2 → 40
Calls

2 calls:

9.0ms
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))
7.0ms
(*.f64 (*.f64 x.im x.im) -3)

series91.0ms (4.5%)

Counts
2 → 6
Calls

2 calls:

54.0ms
(*.f64 x.re (*.f64 (*.f64 x.im x.im) -3))
37.0ms
(*.f64 (*.f64 x.im x.im) -3)

simplify43.0ms (2.1%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04894528
14894528

prune103.0ms (5.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New42446
Fresh011
Picked011
Done000
Total42648

Merged error: 5.7b

Counts
48 → 6
Compiler

Compiled 1605 to 1238 computations (22.9% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3)
6.4b
(*.f64 x.re (pow.f64 x.im 2))

rewrite16.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_2181
12×add-sqr-sqrt_binary64_2165
11×associate-*r*_binary64_2083
10×prod-exp_binary64_2192
add-cbrt-cube_binary64_2179
add-cube-cbrt_binary64_2178 *-un-lft-identity_binary64_2143
pow1_binary64_2204 unpow-prod-down_binary64_2222 cbrt-unprod_binary64_2176 associate-*l*_binary64_2084 unswap-sqr_binary64_2111
unpow2_binary64_2208 add-log-exp_binary64_2182 pow-to-exp_binary64_2212 sqr-pow_binary64_2115 *-commutative_binary64_2074 pow-exp_binary64_2211
pow-prod-down_binary64_2214
Counts
2 → 46
Calls

2 calls:

7.0ms
(*.f64 x.re (pow.f64 x.im 2))
6.0ms
(*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3)

series100.0ms (4.9%)

Counts
2 → 6
Calls

2 calls:

50.0ms
(*.f64 x.re (pow.f64 x.im 2))
49.0ms
(*.f64 (*.f64 x.re (pow.f64 x.im 2)) -3)

simplify48.0ms (2.3%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05151613

prune81.0ms (4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New50252
Fresh134
Picked011
Done011
Total51758

Merged error: 0.0b

Counts
58 → 7
Compiler

Compiled 1291 to 953 computations (26.2% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64_2204 add-exp-log_binary64_2181 add-cbrt-cube_binary64_2179
cbrt-unprod_binary64_2176 pow-prod-down_binary64_2214 prod-exp_binary64_2192
associate-*r*_binary64_2083
add-sqr-sqrt_binary64_2165 add-cube-cbrt_binary64_2178 *-un-lft-identity_binary64_2143
add-log-exp_binary64_2182 associate-*l*_binary64_2084 *-commutative_binary64_2074
Counts
2 → 39
Calls

2 calls:

8.0ms
(*.f64 (*.f64 (*.f64 x.re x.im) x.im) -3)
5.0ms
(*.f64 (*.f64 x.re x.im) x.im)

series96.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

52.0ms
(*.f64 (*.f64 (*.f64 x.re x.im) x.im) -3)
44.0ms
(*.f64 (*.f64 x.re x.im) x.im)

simplify64.0ms (3.1%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05108541

prune50.0ms (2.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New44145
Fresh134
Picked011
Done112
Total46652

Merged error: 0.0b

Counts
52 → 6
Compiler

Compiled 785 to 577 computations (26.5% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
13×pow1_binary64_2204 add-exp-log_binary64_2181 add-cbrt-cube_binary64_2179
cbrt-unprod_binary64_2176 pow-prod-down_binary64_2214 prod-exp_binary64_2192
add-sqr-sqrt_binary64_2165 add-log-exp_binary64_2182 associate-*r*_binary64_2083 associate-*l*_binary64_2084 add-cube-cbrt_binary64_2178 *-commutative_binary64_2074 *-un-lft-identity_binary64_2143
Counts
1 → 22
Calls

1 calls:

7.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 x.im -3))

series58.0ms (2.8%)

Counts
1 → 3
Calls

1 calls:

58.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 x.im -3))

simplify51.0ms (2.5%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05285332

prune20.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New25025
Fresh033
Picked011
Done022
Total25631

Merged error: 0.0b

Counts
31 → 6
Compiler

Compiled 343 to 259 computations (24.5% saved)

regimes27.0ms (1.3%)

Compiler

Compiled 156 to 130 computations (16.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
11620

end0.0ms (0%)

sample664.0ms (32.5%)

Algorithm
intervals
Results
363.0ms8000×body128valid
18.0ms408×body128invalid
Compiler

Compiled 124 to 95 computations (23.4% saved)

Profiling

Loading profile data...