Details

Time bar (total: 1.8s)

analyze10.0ms (0.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14
Compiler

Compiled 29 to 20 computations (31% saved)

sample20.0ms (1.1%)

Algorithm
intervals
Results
12.0ms256×body80valid
2.0ms256×pre80true
Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify79.0ms (4.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
0573513

prune6.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 2
Compiler

Compiled 43 to 33 computations (23.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 1 (*.f64 i i))
0.4b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

rewrite20.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt_binary64
35×times-frac_binary64
33×*-un-lft-identity_binary64
17×add-cube-cbrt_binary64
15×add-exp-log_binary64
12×difference-of-squares_binary64
10×pow1_binary64
associate-/r*_binary64 add-cbrt-cube_binary64
distribute-lft-out--_binary64
associate-/l*_binary64 div-inv_binary64 pow-flip_binary64
div-exp_binary64
cbrt-undiv_binary64 prod-exp_binary64
add-log-exp_binary64 1-exp_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
pow-prod-down_binary64 flip3--_binary64 cbrt-unprod_binary64 pow-prod-up_binary64 pow-plus_binary64 inv-pow_binary64 pow-sqr_binary64 flip--_binary64 pow2_binary64
Counts
2 → 81
Calls

2 calls:

12.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
5.0ms
(/.f64 1 (*.f64 i i))

series6.0ms (0.3%)

Counts
2 → 6
Calls

2 calls:

3.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
2.0ms
(/.f64 1 (*.f64 i i))

simplify111.0ms (6.1%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
048571212
148571212

prune70.0ms (3.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New83487
Fresh101
Picked101
Done000
Total85489

Merged error: 0b

Counts
89 → 4
Compiler

Compiled 1257 to 966 computations (23.2% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 2 (/.f64 1 i))
0.0b
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
0.1b
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
0.1b
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))

rewrite64.0ms (3.5%)

Algorithm
rewrite-expression-head
Rules
109×add-sqr-sqrt_binary64
100×*-un-lft-identity_binary64
96×times-frac_binary64
48×add-cube-cbrt_binary64
30×associate-*r*_binary64
21×associate-*l*_binary64 difference-of-squares_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
19×div-inv_binary64
16×distribute-lft-out_binary64
14×distribute-lft-out--_binary64
13×associate-/r*_binary64
associate-/r/_binary64
add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 associate-/l*_binary64 div-exp_binary64
cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64
flip3-+_binary64 flip-+_binary64
flip3--_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64
pow-prod-down_binary64 associate-*r/_binary64 +-commutative_binary64 frac-times_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 174
Calls

4 calls:

29.0ms
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
9.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
8.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
6.0ms
(+.f64 2 (/.f64 1 i))

series11.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

4.0ms
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
2.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
2.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
2.0ms
(+.f64 2 (/.f64 1 i))

simplify90.0ms (4.9%)

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
048963522
148963522

prune202.0ms (11.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1860186
Fresh033
Picked011
Done000
Total1864190

Merged error: 0b

Counts
190 → 4
Compiler

Compiled 4130 to 3587 computations (13.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 1 (*.f64 i i))
0.5b
(/.f64 1/2 (-.f64 4 (/.f64 1 (*.f64 i i))))

rewrite17.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt_binary64
35×times-frac_binary64
33×*-un-lft-identity_binary64
17×add-cube-cbrt_binary64
15×add-exp-log_binary64
12×difference-of-squares_binary64
10×pow1_binary64
associate-/r*_binary64 add-cbrt-cube_binary64
distribute-lft-out--_binary64
associate-/l*_binary64 div-inv_binary64 pow-flip_binary64
div-exp_binary64
cbrt-undiv_binary64 prod-exp_binary64
add-log-exp_binary64 1-exp_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
pow-prod-down_binary64 flip3--_binary64 cbrt-unprod_binary64 pow-prod-up_binary64 pow-plus_binary64 inv-pow_binary64 pow-sqr_binary64 flip--_binary64 pow2_binary64
Counts
2 → 81
Calls

2 calls:

8.0ms
(/.f64 1/2 (-.f64 4 (/.f64 1 (*.f64 i i))))
5.0ms
(/.f64 1 (*.f64 i i))

series6.0ms (0.3%)

Counts
2 → 6
Calls

2 calls:

4.0ms
(/.f64 1/2 (-.f64 4 (/.f64 1 (*.f64 i i))))
2.0ms
(/.f64 1 (*.f64 i i))

simplify95.0ms (5.3%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
049101252
149101252

prune64.0ms (3.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New86187
Fresh112
Picked101
Done011
Total88391

Merged error: 0b

Counts
91 → 3
Compiler

Compiled 1417 to 1130 computations (20.3% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.5b
(/.f64 1/2 (-.f64 4 (pow.f64 i -2)))

rewrite10.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64 times-frac_binary64
13×add-cube-cbrt_binary64
12×difference-of-squares_binary64
associate-/r*_binary64
sqr-pow_binary64 unpow-prod-down_binary64 distribute-lft-out--_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
associate-/r/_binary64
add-log-exp_binary64 pow1_binary64 flip3--_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64
Counts
1 → 45
Calls

1 calls:

7.0ms
(/.f64 1/2 (-.f64 4 (pow.f64 i -2)))

series4.0ms (0.2%)

Counts
1 → 3
Calls

1 calls:

4.0ms
(/.f64 1/2 (-.f64 4 (pow.f64 i -2)))

simplify88.0ms (4.9%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04831867
14831867

prune39.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New48048
Fresh011
Picked011
Done011
Total48351

Merged error: 0b

Counts
51 → 3
Compiler

Compiled 811 to 728 computations (10.2% saved)

regimes16.0ms (0.9%)

Compiler

Compiled 41 to 37 computations (9.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03522
13522

end0.0ms (0%)

sample754.0ms (41.7%)

Algorithm
intervals
Results
408.0ms8000×body80valid
83.0ms8000×pre80true
Compiler

Compiled 83 to 70 computations (15.7% saved)

Profiling

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