Details

Time bar (total: 2.1s)

analyze137.0ms (6.4%)

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
25%40.6%34.4%7
25%32.8%42.2%8
25%23.4%51.6%9
28.1%18%54%10
31.6%11.5%56.9%11
33.4%8.9%57.8%12
35.2%5.7%59.1%13
36.1%4.4%59.4%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample20.0ms (0.9%)

Algorithm
intervals
Results
12.0ms256×body80valid
1.0ms12×body80invalid
Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify98.0ms (4.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
0497410
1497410

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

rewrite9.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64
difference-of-squares_binary64
unpow-prod-down_binary64
sqr-pow_binary64
*-un-lft-identity_binary64
add-log-exp_binary64
distribute-lft-out--_binary64
sub-neg_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip--_binary64
Counts
1 → 22
Calls

1 calls:

8.0ms
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

series11.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

11.0ms
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

simplify81.0ms (3.8%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04923414
14923414

prune28.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New22325
Fresh000
Picked011
Done000
Total22426

Merged error: 0b

Counts
26 → 4
Compiler

Compiled 382 to 237 computations (38% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x x) (*.f64 y y))
0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
0.4b
(*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y)))

rewrite22.0ms (1%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64 add-sqr-sqrt_binary64
*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
flip3-+_binary64 flip3--_binary64 associate-*r*_binary64 flip--_binary64 flip-+_binary64 frac-times_binary64
sub-neg_binary64 associate-*l*_binary64
associate-*r/_binary64 difference-of-squares_binary64 associate-*l/_binary64
pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 52
Calls

3 calls:

12.0ms
(*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y)))
5.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
4.0ms
(-.f64 (*.f64 x x) (*.f64 y y))

series30.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

18.0ms
(*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y)))
6.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
6.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

simplify81.0ms (3.8%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
054191121

prune36.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New60161
Fresh112
Picked101
Done011
Total62365

Merged error: 0b

Counts
65 → 3
Compiler

Compiled 1282 to 346 computations (73% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
1.6b
(*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (*.f64 y y)))
2.5b
(*.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y y)))

rewrite31.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
10×add-sqr-sqrt_binary64
associate-*r*_binary64
add-log-exp_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
pow-prod-down_binary64 flip3-+_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64 flip-+_binary64
associate-*r/_binary64 unswap-sqr_binary64 +-commutative_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
distribute-rgt-neg-out_binary64 neg-mul-1_binary64 distribute-lft-neg-in_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 distribute-rgt-neg-in_binary64
Counts
4 → 69
Calls

4 calls:

9.0ms
(*.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y y)))
8.0ms
(*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (*.f64 y y)))
7.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
5.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

series39.0ms (1.8%)

Counts
4 → 12
Calls

4 calls:

17.0ms
(*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (*.f64 y y)))
9.0ms
(*.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y y)))
6.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
6.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

simplify160.0ms (7.6%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (139.0ms)

IterNodesCost
048661372
148661372

prune39.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh011
Picked011
Done011
Total81384

Merged error: 0b

Counts
84 → 3
Compiler

Compiled 2389 to 294 computations (87.7% saved)

localize11.0ms (0.5%)

Local error

Found 2 expressions with local error:

1.2b
(-.f64 (pow.f64 x 8) (pow.f64 y 8))
42.1b
(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (+.f64 (pow.f64 x 4) (pow.f64 y 4)))

rewrite38.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
111×*-un-lft-identity_binary64
107×add-sqr-sqrt_binary64
86×unpow-prod-down_binary64
70×times-frac_binary64
63×difference-of-squares_binary64
42×sqr-pow_binary64
30×distribute-lft-out_binary64
23×add-cube-cbrt_binary64
14×associate-/l*_binary64 distribute-lft-out--_binary64
associate-/r*_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l/_binary64 pow1_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64
flip3-+_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
Counts
2 → 128
Calls

2 calls:

19.0ms
(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (+.f64 (pow.f64 x 4) (pow.f64 y 4)))
8.0ms
(-.f64 (pow.f64 x 8) (pow.f64 y 8))

series38.0ms (1.8%)

Counts
2 → 6
Calls

2 calls:

21.0ms
(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (+.f64 (pow.f64 x 4) (pow.f64 y 4)))
16.0ms
(-.f64 (pow.f64 x 8) (pow.f64 y 8))

simplify127.0ms (6%)

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
049503990
149503990

prune165.0ms (7.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done022
Total1343137

Merged error: 0b

Counts
137 → 3
Compiler

Compiled 3268 to 2496 computations (23.6% saved)

regimes122.0ms (5.7%)

Compiler

Compiled 260 to 183 computations (29.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01710
11710

end0.0ms (0%)

sample771.0ms (36.3%)

Algorithm
intervals
Results
361.0ms8000×body80valid
17.0ms322×body80invalid
Compiler

Compiled 61 to 46 computations (24.6% saved)

Profiling

Loading profile data...