Details

Time bar (total: 1.5s)

analyze66.0ms (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)

sample12.0ms (0.8%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
0.0ms6×body128invalid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify27.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
034610
134610

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 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))

rewrite18.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
9×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
7×*-un-lft-identity_binary64
6×sub-neg_binary64 associate-*r*_binary64 associate-*r/_binary64 associate-*l*_binary64
5×add-cube-cbrt_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
2×add-log-exp_binary64 flip3--_binary64 flip--_binary64 *-commutative_binary64
1×unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
Counts
2 → 48
Calls

2 calls:

8.0ms
(*.f64 2 (*.f64 x (-.f64 x y)))
7.0ms
(*.f64 x (-.f64 x y))

series111.0ms (7.4%)

Counts
2 → 6
Calls

2 calls:

56.0ms
(*.f64 2 (*.f64 x (-.f64 x y)))
55.0ms
(*.f64 x (-.f64 x y))

simplify73.0ms (4.9%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04938579
14938579

prune39.0ms (2.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New50454
Fresh101
Picked101
Done000
Total52456

Merged error: 0b

Counts
56 → 4
Compiler

Compiled 655 to 286 computations (56.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
6×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
5×associate-*r*_binary64
4×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
2×sub-neg_binary64 associate-*r/_binary64 add-cube-cbrt_binary64
1×add-log-exp_binary64 flip3--_binary64 distribute-lft-in_binary64 associate-*l*_binary64 distribute-rgt-in_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64 *-commutative_binary64
Counts
1 → 24
Calls

1 calls:

9.0ms
(*.f64 (*.f64 x 2) (-.f64 x y))

series61.0ms (4.1%)

Counts
1 → 3
Calls

1 calls:

61.0ms
(*.f64 (*.f64 x 2) (-.f64 x y))

simplify53.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04951320
14951320

prune19.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh033
Picked011
Done000
Total27431

Merged error: 0b

Counts
31 → 4
Compiler

Compiled 344 to 116 computations (66.3% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64 add-sqr-sqrt_binary64
3×pow-prod-down_binary64 *-un-lft-identity_binary64 cbrt-unprod_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 prod-exp_binary64
1×flip3-+_binary64 associate-*l*_binary64 unswap-sqr_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 30
Calls

2 calls:

7.0ms
(+.f64 (*.f64 (*.f64 x x) 2) (*.f64 y (*.f64 x -2)))
6.0ms
(*.f64 (*.f64 x x) 2)

series99.0ms (6.6%)

Counts
2 → 6
Calls

2 calls:

65.0ms
(+.f64 (*.f64 (*.f64 x x) 2) (*.f64 y (*.f64 x -2)))
34.0ms
(*.f64 (*.f64 x x) 2)

simplify62.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05091395

prune29.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New35136
Fresh112
Picked011
Done011
Total36440

Merged error: 0b

Counts
40 → 4
Compiler

Compiled 515 to 314 computations (39% saved)

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (pow.f64 x 6) 8)
0.0b
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 6) 8)) (*.f64 y (*.f64 x -2)))
25.7b
(cbrt.f64 (*.f64 (pow.f64 x 6) 8))

rewrite17.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
8×add-exp-log_binary64
7×associate-*l*_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64
5×add-log-exp_binary64 add-cbrt-cube_binary64
4×unpow-prod-down_binary64
3×pow1_binary64 associate-*r*_binary64 unswap-sqr_binary64 prod-exp_binary64
2×sqr-pow_binary64
1×pow-to-exp_binary64 flip3-+_binary64 cbrt-unprod_binary64 pow1/3_binary64 +-commutative_binary64 flip-+_binary64 cbrt-prod_binary64 pow-exp_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 45
Calls

3 calls:

6.0ms
(*.f64 (pow.f64 x 6) 8)
5.0ms
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 6) 8)) (*.f64 y (*.f64 x -2)))
4.0ms
(cbrt.f64 (*.f64 (pow.f64 x 6) 8))

series165.0ms (11%)

Counts
3 → 9
Calls

3 calls:

74.0ms
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 6) 8)) (*.f64 y (*.f64 x -2)))
58.0ms
(*.f64 (pow.f64 x 6) 8)
33.0ms
(cbrt.f64 (*.f64 (pow.f64 x 6) 8))

simplify73.0ms (4.9%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04869690
14869690

prune51.0ms (3.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New54054
Fresh011
Picked011
Done022
Total54458

Merged error: 0b

Counts
58 → 4
Compiler

Compiled 884 to 674 computations (23.8% saved)

regimes22.0ms (1.4%)

Compiler

Compiled 94 to 80 computations (14.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample451.0ms (29.9%)

Algorithm
1×intervals
Results
216.0ms8000×body128valid
4.0ms158×body128invalid
Compiler

Compiled 69 to 58 computations (15.9% saved)

Profiling

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