Details

Time bar (total: 1.5s)

analyze72.0ms (4.7%)

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)

sample14.0ms (0.9%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
0.0ms5×body128invalid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify188.0ms (12.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
034610
134610

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% 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×pow1_binary64_14963 add-cbrt-cube_binary64_14938 add-exp-log_binary64_14940 add-sqr-sqrt_binary64_14926
7×*-un-lft-identity_binary64_14905
6×sub-neg_binary64_14898 associate-*r*_binary64_14847 associate-*r/_binary64_14849 associate-*l*_binary64_14848
5×add-cube-cbrt_binary64_14937 distribute-rgt-in_binary64_14857 distribute-lft-in_binary64_14856
4×pow-prod-down_binary64_14973 cbrt-unprod_binary64_14935 prod-exp_binary64_14951
2×flip3--_binary64_14909 flip--_binary64_14880 add-log-exp_binary64_14941 *-commutative_binary64_14838
1×distribute-lft-out--_binary64_14859 unswap-sqr_binary64_14873 difference-of-squares_binary64_14874
Counts
2 → 48
Calls

2 calls:

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

series112.0ms (7.3%)

Counts
2 → 6
Calls

2 calls:

61.0ms
(*.f64 2 (*.f64 x (-.f64 x y)))
51.0ms
(*.f64 x (-.f64 x y))

simplify74.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04938579
14938579

prune35.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New52254
Fresh000
Picked101
Done000
Total53255

Merged error: 0b

Counts
55 → 2
Compiler

Compiled 622 to 266 computations (57.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
6×pow1_binary64_14963 add-cbrt-cube_binary64_14938 add-exp-log_binary64_14940
5×associate-*r*_binary64_14847
4×*-un-lft-identity_binary64_14905 add-sqr-sqrt_binary64_14926
3×pow-prod-down_binary64_14973 cbrt-unprod_binary64_14935 prod-exp_binary64_14951
2×sub-neg_binary64_14898 add-cube-cbrt_binary64_14937 associate-*r/_binary64_14849
1×flip3--_binary64_14909 distribute-lft-out--_binary64_14859 flip--_binary64_14880 difference-of-squares_binary64_14874 distribute-rgt-in_binary64_14857 associate-*l*_binary64_14848 add-log-exp_binary64_14941 *-commutative_binary64_14838 distribute-lft-in_binary64_14856
Counts
1 → 24
Calls

1 calls:

11.0ms
(*.f64 (*.f64 x 2) (-.f64 x y))

series60.0ms (3.9%)

Counts
1 → 3
Calls

1 calls:

60.0ms
(*.f64 (*.f64 x 2) (-.f64 x y))

simplify54.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04951320
14951320

prune16.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh011
Picked011
Done000
Total27229

Merged error: 0b

Counts
29 → 2
Compiler

Compiled 311 to 96 computations (69.1% saved)

localize7.0ms (0.4%)

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))
0.1b
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 x y) (sqrt.f64 x)))

rewrite42.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Rules
19×pow1_binary64_14963 add-cbrt-cube_binary64_14938 add-exp-log_binary64_14940
15×add-sqr-sqrt_binary64_14926
14×associate-*l*_binary64_14848
11×*-un-lft-identity_binary64_14905
10×pow-prod-down_binary64_14973 cbrt-unprod_binary64_14935 prod-exp_binary64_14951
9×add-cube-cbrt_binary64_14937
8×associate-*r*_binary64_14847
7×sqrt-prod_binary64_14920
6×associate-*r/_binary64_14849 associate-*l/_binary64_14850
3×flip3--_binary64_14909 flip--_binary64_14880 add-log-exp_binary64_14941 *-commutative_binary64_14838
2×unswap-sqr_binary64_14873
1×distribute-lft-out--_binary64_14859 difference-of-squares_binary64_14874
Counts
3 → 72
Calls

3 calls:

16.0ms
(*.f64 2 (*.f64 (sqrt.f64 x) (*.f64 (-.f64 x y) (sqrt.f64 x))))
12.0ms
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 x y) (sqrt.f64 x)))
9.0ms
(*.f64 (-.f64 x y) (sqrt.f64 x))

series175.0ms (11.4%)

Counts
3 → 9
Calls

3 calls:

64.0ms
(*.f64 2 (*.f64 (sqrt.f64 x) (*.f64 (-.f64 x y) (sqrt.f64 x))))
58.0ms
(*.f64 (-.f64 x y) (sqrt.f64 x))
53.0ms
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 x y) (sqrt.f64 x)))

simplify46.0ms (3%)

Algorithm
1×egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05321988

prune51.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh000
Picked011
Done011
Total81283

Merged error: 0b

Counts
83 → 2
Compiler

Compiled 1122 to 417 computations (62.8% saved)

regimes49.0ms (3.2%)

Compiler

Compiled 216 to 176 computations (18.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample489.0ms (32%)

Algorithm
1×intervals
Results
221.0ms8000×body128valid
4.0ms157×body128invalid
Compiler

Compiled 69 to 58 computations (15.9% saved)

Profiling

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