Details

Time bar (total: 1.5s)

analyze69.0ms (4.6%)

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)

sample13.0ms (0.9%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
0.0ms4×body128invalid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify111.0ms (7.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
036410
136410

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
20×distribute-rgt-in_binary64_15032 distribute-lft-in_binary64_15031
18×cancel-sign-sub-inv_binary64_15048
15×add-sqr-sqrt_binary64_15104
13×*-un-lft-identity_binary64_15082
11×add-cube-cbrt_binary64_15117
9×add-cbrt-cube_binary64_15118 pow1_binary64_15143 add-exp-log_binary64_15120
6×sub-neg_binary64_15075 associate-*l*_binary64_15023 associate-*r*_binary64_15022 associate-*r/_binary64_15024
4×pow-prod-down_binary64_15153 prod-exp_binary64_15131 cbrt-unprod_binary64_15115
2×flip3--_binary64_15086 add-log-exp_binary64_15121 *-commutative_binary64_15013 flip--_binary64_15057
1×unswap-sqr_binary64_15050 distribute-lft-out--_binary64_15034 difference-of-squares_binary64_15051
Counts
2 → 66
Calls

2 calls:

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

series55.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

29.0ms
(*.f64 2 (*.f64 x (-.f64 x y)))
26.0ms
(*.f64 x (-.f64 x y))

simplify58.0ms (3.9%)

Algorithm
1×egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05013807

prune47.0ms (3.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New69372
Fresh011
Picked101
Done000
Total70474
Error
0b
Counts
74 → 4
Compiler

Compiled 838 to 367 computations (56.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
6×cancel-sign-sub-inv_binary64_15048 add-cbrt-cube_binary64_15118 *-un-lft-identity_binary64_15082 pow1_binary64_15143 add-exp-log_binary64_15120 add-sqr-sqrt_binary64_15104
5×associate-*r*_binary64_15022
4×distribute-rgt-in_binary64_15032 add-cube-cbrt_binary64_15117 distribute-lft-in_binary64_15031
3×pow-prod-down_binary64_15153 prod-exp_binary64_15131 cbrt-unprod_binary64_15115
2×sub-neg_binary64_15075 associate-*r/_binary64_15024
1×distribute-lft-out--_binary64_15034 flip3--_binary64_15086 difference-of-squares_binary64_15051 add-log-exp_binary64_15121 associate-*l*_binary64_15023 *-commutative_binary64_15013 flip--_binary64_15057
Counts
1 → 30
Calls

1 calls:

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

series29.0ms (1.9%)

Counts
1 → 3
Calls

1 calls:

29.0ms
(*.f64 (*.f64 x 2) (-.f64 x y))

simplify49.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04974404
14974404

prune20.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33033
Fresh033
Picked011
Done000
Total33437
Error
0b
Counts
37 → 4
Compiler

Compiled 401 to 137 computations (65.8% saved)

localize6.0ms (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 (0.8%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64_15104
4×add-cube-cbrt_binary64_15117 add-cbrt-cube_binary64_15118 *-un-lft-identity_binary64_15082 pow1_binary64_15143 add-log-exp_binary64_15121 add-exp-log_binary64_15120 associate-*r*_binary64_15022
3×cancel-sign-sub-inv_binary64_15048 sub-neg_binary64_15075 associate-*l*_binary64_15023
2×distribute-rgt-in_binary64_15032 distribute-lft-out--_binary64_15034 flip3--_binary64_15086 distribute-lft-in_binary64_15031 flip--_binary64_15057 associate-*r/_binary64_15024
1×pow-prod-down_binary64_15153 unswap-sqr_binary64_15050 prod-exp_binary64_15131 cbrt-unprod_binary64_15115 *-commutative_binary64_15013 diff-log_binary64_15174
Counts
2 → 38
Calls

2 calls:

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

series56.0ms (3.7%)

Counts
2 → 6
Calls

2 calls:

30.0ms
(*.f64 2 (-.f64 (*.f64 x x) (*.f64 x y)))
26.0ms
(-.f64 (*.f64 x x) (*.f64 x y))

simplify68.0ms (4.5%)

Algorithm
1×egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05053533

prune29.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New44044
Fresh022
Picked011
Done011
Total44448
Error
0b
Counts
48 → 4
Compiler

Compiled 575 to 252 computations (56.2% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 x (-.f64 x y))
0.4b
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 x (-.f64 x y)) (sqrt.f64 2)))
0.4b
(*.f64 (*.f64 x (-.f64 x y)) (sqrt.f64 2))

rewrite32.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Rules
19×add-cbrt-cube_binary64_15118 pow1_binary64_15143 add-exp-log_binary64_15120
15×add-sqr-sqrt_binary64_15104
13×*-un-lft-identity_binary64_15082
12×associate-*r*_binary64_15022
11×add-cube-cbrt_binary64_15117
10×pow-prod-down_binary64_15153 prod-exp_binary64_15131 cbrt-unprod_binary64_15115 associate-*l*_binary64_15023
8×associate-*r/_binary64_15024
6×sqrt-prod_binary64_15098 cancel-sign-sub-inv_binary64_15048
4×distribute-rgt-in_binary64_15032 distribute-lft-in_binary64_15031 associate-*l/_binary64_15025
3×flip3--_binary64_15086 add-log-exp_binary64_15121 *-commutative_binary64_15013 flip--_binary64_15057
2×sub-neg_binary64_15075
1×unswap-sqr_binary64_15050 distribute-lft-out--_binary64_15034 difference-of-squares_binary64_15051
Counts
3 → 79
Calls

3 calls:

12.0ms
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 x (-.f64 x y)) (sqrt.f64 2)))
8.0ms
(*.f64 (*.f64 x (-.f64 x y)) (sqrt.f64 2))
7.0ms
(*.f64 x (-.f64 x y))

series138.0ms (9.2%)

Counts
3 → 9
Calls

3 calls:

69.0ms
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 x (-.f64 x y)) (sqrt.f64 2)))
46.0ms
(*.f64 (*.f64 x (-.f64 x y)) (sqrt.f64 2))
22.0ms
(*.f64 x (-.f64 x y))

simplify50.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
053171035

prune64.0ms (4.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh011
Picked011
Done022
Total88492
Error
0b
Counts
92 → 4
Compiler

Compiled 1239 to 669 computations (46% saved)

regimes59.0ms (3.9%)

Accuracy

Total 0.0b remaining (83.5%)

Threshold costs 0.0b (83.5%)

Compiler

Compiled 320 to 252 computations (21.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample490.0ms (32.6%)

Algorithm
1×intervals
Results
215.0ms8000×body128valid
8.0ms171×body128invalid
Compiler

Compiled 95 to 77 computations (18.9% saved)

Profiling

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