Details

Time bar (total: 1.5s)

analyze63.0ms (4.3%)

Algorithm
1×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
37.5%50%12.6%6
43.7%40.6%15.7%7
56.2%23.4%20.4%8
57.8%21.1%21.2%9
64%12.5%23.5%10
64.8%10.7%24.5%11
67.9%6.4%25.7%12
68.3%5.4%26.3%13
69.9%3.3%26.9%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample18.0ms (1.2%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
0.0ms1×body128invalid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify98.0ms (6.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03910
13910

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 23 to 19 computations (17.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x (+.f64 x y)))
0.0b
(*.f64 x (+.f64 x y))

rewrite19.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
9×add-exp-log_binary64_17507 pow1_binary64_17530 add-cbrt-cube_binary64_17505
7×*-un-lft-identity_binary64_17469 add-sqr-sqrt_binary64_17491
6×associate-*l*_binary64_17410 associate-*r/_binary64_17411
5×distribute-rgt-in_binary64_17419 add-cube-cbrt_binary64_17504 distribute-lft-in_binary64_17418 associate-*r*_binary64_17409
4×prod-exp_binary64_17518 pow-prod-down_binary64_17540 cbrt-unprod_binary64_17502
2×*-commutative_binary64_17400 flip3-+_binary64_17472 flip-+_binary64_17443 add-log-exp_binary64_17508
1×distribute-lft-out_binary64_17420 unswap-sqr_binary64_17437
Counts
2 → 47
Calls

2 calls:

9.0ms
(*.f64 2 (*.f64 x (+.f64 x y)))
7.0ms
(*.f64 x (+.f64 x y))

series52.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

28.0ms
(*.f64 2 (*.f64 x (+.f64 x y)))
24.0ms
(*.f64 x (+.f64 x y))

simplify104.0ms (7.1%)

Algorithm
1×egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
04967564
14967564

prune31.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New51253
Fresh011
Picked101
Done000
Total52355
Error
0b
Counts
55 → 3
Compiler

Compiled 614 to 256 computations (58.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
12×associate-*l*_binary64_17410
11×*-un-lft-identity_binary64_17469
9×add-sqr-sqrt_binary64_17491
7×add-cube-cbrt_binary64_17504
6×flip3-+_binary64_17472 flip-+_binary64_17443
4×distribute-lft-out_binary64_17420 frac-times_binary64_17479 associate-*r*_binary64_17409
3×distribute-rgt-out_binary64_17422 add-exp-log_binary64_17507 pow1_binary64_17530 add-cbrt-cube_binary64_17505
2×associate-*r/_binary64_17411 associate-*l/_binary64_17412
1×*-commutative_binary64_17400 distribute-rgt-in_binary64_17419 distribute-rgt1-in_binary64_17425 distribute-lft1-in_binary64_17424 prod-exp_binary64_17518 count-2_binary64_17417 unswap-sqr_binary64_17437 pow-prod-down_binary64_17540 cbrt-unprod_binary64_17502 distribute-lft-in_binary64_17418 add-log-exp_binary64_17508
Counts
1 → 38
Calls

1 calls:

12.0ms
(*.f64 (+.f64 x x) (+.f64 x y))

series25.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

25.0ms
(*.f64 (+.f64 x x) (+.f64 x y))

simplify63.0ms (4.3%)

Algorithm
1×egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05002502

prune22.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41041
Fresh022
Picked011
Done000
Total41344
Error
0b
Counts
44 → 3
Compiler

Compiled 500 to 158 computations (68.4% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y)))
0.0b
(+.f64 (*.f64 x x) (*.f64 x y))

rewrite13.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64_17491
4×*-un-lft-identity_binary64_17469 add-cube-cbrt_binary64_17504 add-exp-log_binary64_17507 add-log-exp_binary64_17508 pow1_binary64_17530 associate-*r*_binary64_17409 add-cbrt-cube_binary64_17505
3×associate-*l*_binary64_17410
2×distribute-lft-out_binary64_17420 associate-*r/_binary64_17411 flip3-+_binary64_17472 flip-+_binary64_17443
1×*-commutative_binary64_17400 distribute-rgt-in_binary64_17419 prod-exp_binary64_17518 unswap-sqr_binary64_17437 pow-prod-down_binary64_17540 +-commutative_binary64_17399 cbrt-unprod_binary64_17502 distribute-lft-in_binary64_17418 sum-log_binary64_17560
Counts
2 → 35
Calls

2 calls:

7.0ms
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y)))
4.0ms
(+.f64 (*.f64 x x) (*.f64 x y))

series53.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

27.0ms
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y)))
25.0ms
(+.f64 (*.f64 x x) (*.f64 x y))

simplify81.0ms (5.6%)

Algorithm
1×egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04981493
14981493

prune24.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh011
Picked011
Done011
Total41344
Error
0b
Counts
44 → 3
Compiler

Compiled 527 to 223 computations (57.7% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 2 (*.f64 (sqrt.f64 x) (*.f64 (+.f64 x y) (sqrt.f64 x))))
0.1b
(*.f64 (+.f64 x y) (sqrt.f64 x))
0.2b
(*.f64 (sqrt.f64 x) (*.f64 (+.f64 x y) (sqrt.f64 x)))

rewrite37.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Rules
19×add-exp-log_binary64_17507 pow1_binary64_17530 add-cbrt-cube_binary64_17505
13×associate-*l*_binary64_17410 add-sqr-sqrt_binary64_17491
11×*-un-lft-identity_binary64_17469
10×prod-exp_binary64_17518 pow-prod-down_binary64_17540 cbrt-unprod_binary64_17502
9×add-cube-cbrt_binary64_17504
8×associate-*r*_binary64_17409
7×sqrt-prod_binary64_17485
6×associate-*r/_binary64_17411 associate-*l/_binary64_17412
3×*-commutative_binary64_17400 flip3-+_binary64_17472 flip-+_binary64_17443 add-log-exp_binary64_17508
2×unswap-sqr_binary64_17437
1×distribute-lft-out_binary64_17420
Counts
3 → 71
Calls

3 calls:

11.0ms
(*.f64 2 (*.f64 (sqrt.f64 x) (*.f64 (+.f64 x y) (sqrt.f64 x))))
10.0ms
(*.f64 (+.f64 x y) (sqrt.f64 x))
10.0ms
(*.f64 (sqrt.f64 x) (*.f64 (+.f64 x y) (sqrt.f64 x)))

series88.0ms (6%)

Counts
3 → 9
Calls

3 calls:

31.0ms
(*.f64 2 (*.f64 (sqrt.f64 x) (*.f64 (+.f64 x y) (sqrt.f64 x))))
31.0ms
(*.f64 (+.f64 x y) (sqrt.f64 x))
26.0ms
(*.f64 (sqrt.f64 x) (*.f64 (+.f64 x y) (sqrt.f64 x)))

simplify71.0ms (4.9%)

Algorithm
1×egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05021977

prune51.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh000
Picked011
Done022
Total80383
Error
0b
Counts
83 → 3
Compiler

Compiled 1104 to 409 computations (63% saved)

regimes40.0ms (2.7%)

Accuracy

Total 0.0b remaining (66.3%)

Threshold costs 0.0b (66.3%)

Compiler

Compiled 172 to 136 computations (20.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
1810

end0.0ms (0%)

sample462.0ms (31.8%)

Algorithm
1×intervals
Results
226.0ms8000×body128valid
4.0ms139×body128invalid
Compiler

Compiled 58 to 47 computations (19% saved)

Profiling

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