Details

Time bar (total: 1.9s)

analyze41.0ms (2.1%)

Algorithm
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
0%99.9%0.1%5
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample14.0ms (0.8%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify131.0ms (6.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (123.0ms)

IterNodesCost
0532913

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.2b

Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

16.7b
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

rewrite12.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
associate-/r*_binary64 times-frac_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 add-cube-cbrt_binary64 prod-exp_binary64 div-exp_binary64
associate-/r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
add-log-exp_binary64 pow1_binary64 flip3--_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 flip--_binary64
Counts
1 → 29
Calls

1 calls:

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

series96.0ms (5%)

Counts
1 → 3
Calls

1 calls:

96.0ms
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

simplify59.0ms (3.1%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05828458

prune68.0ms (3.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New29332
Fresh000
Picked011
Done000
Total29433

Merged error: 0.0b

Counts
33 → 4
Compiler

Compiled 991 to 603 computations (39.2% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
0.2b
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

rewrite37.0ms (2%)

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64
25×times-frac_binary64
12×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
10×distribute-lft-out_binary64
associate-/r*_binary64 add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
pow1_binary64 associate-/r/_binary64 associate-/l*_binary64
flip3-+_binary64 frac-add_binary64 flip-+_binary64
cbrt-undiv_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 rec-exp_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 pow-flip_binary64 sum-log_binary64
Counts
2 → 55
Calls

2 calls:

17.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
16.0ms
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

series102.0ms (5.3%)

Counts
2 → 6
Calls

2 calls:

67.0ms
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
35.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify68.0ms (3.6%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
06261969

prune54.0ms (2.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh022
Picked011
Done011
Total61465

Merged error: 0.0b

Counts
65 → 4
Compiler

Compiled 902 to 721 computations (20.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 x y))
5.6b
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))

rewrite25.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
30×times-frac_binary64
21×associate-*r*_binary64 add-cube-cbrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
cbrt-unprod_binary64 prod-exp_binary64
associate-/r*_binary64
associate-/r/_binary64
pow-prod-down_binary64 cbrt-undiv_binary64 associate-/l*_binary64 div-exp_binary64
add-log-exp_binary64 flip3--_binary64 div-inv_binary64 flip--_binary64
associate-*r/_binary64 associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
2 → 78
Calls

2 calls:

12.0ms
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
6.0ms
(/.f64 y (-.f64 x y))

series145.0ms (7.6%)

Counts
2 → 6
Calls

2 calls:

91.0ms
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
54.0ms
(/.f64 y (-.f64 x y))

simplify60.0ms (3.1%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049431139
149431139

prune63.0ms (3.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh011
Picked101
Done022
Total84488

Merged error: 0b

Counts
88 → 4
Compiler

Compiled 1352 to 436 computations (67.8% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 x y))
0.2b
(*.f64 y (/.f64 1 (-.f64 x y)))
5.6b
(*.f64 (*.f64 x 2) (*.f64 y (/.f64 1 (-.f64 x y))))

rewrite46.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt_binary64
41×add-exp-log_binary64
38×*-un-lft-identity_binary64
32×times-frac_binary64
31×add-cbrt-cube_binary64
23×add-cube-cbrt_binary64
22×associate-*r*_binary64
21×prod-exp_binary64
18×pow1_binary64
15×cbrt-unprod_binary64
pow-prod-down_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
associate-/r*_binary64
cbrt-undiv_binary64 associate-*r/_binary64 associate-/r/_binary64 associate-*l*_binary64 rec-exp_binary64 div-exp_binary64
add-log-exp_binary64 unswap-sqr_binary64 associate-/l*_binary64
flip3--_binary64 un-div-inv_binary64 div-inv_binary64 flip--_binary64 *-commutative_binary64
clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 pow-flip_binary64
Counts
3 → 113
Calls

3 calls:

16.0ms
(*.f64 y (/.f64 1 (-.f64 x y)))
13.0ms
(*.f64 (*.f64 x 2) (*.f64 y (/.f64 1 (-.f64 x y))))
6.0ms
(/.f64 1 (-.f64 x y))

series195.0ms (10.2%)

Counts
3 → 9
Calls

3 calls:

94.0ms
(*.f64 (*.f64 x 2) (*.f64 y (/.f64 1 (-.f64 x y))))
56.0ms
(*.f64 y (/.f64 1 (-.f64 x y)))
45.0ms
(/.f64 1 (-.f64 x y))

simplify60.0ms (3.1%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
052381378

prune83.0ms (4.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh011
Picked011
Done022
Total1224126

Merged error: 0b

Counts
126 → 4
Compiler

Compiled 1760 to 786 computations (55.3% saved)

regimes33.0ms (1.7%)

Compiler

Compiled 136 to 118 computations (13.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11113

end0.0ms (0%)

sample491.0ms (25.7%)

Algorithm
intervals
Results
238.0ms8000×body128valid
Compiler

Compiled 92 to 72 computations (21.7% saved)

Profiling

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