Details

Time bar (total: 4.6s)

analyze482.0ms (10.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
12.5%87.3%0.2%7
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
43.7%56.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample21.0ms (0.4%)

Algorithm
intervals
Results
9.0ms256×body128valid
1.0ms20×body128invalid
Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify128.0ms (2.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (121.0ms)

IterNodesCost
0528516

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.6b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 y z) (-.f64 y t))
7.0b
(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite31.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64 flip3--_binary64 flip--_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64 associate-/r/_binary64 frac-times_binary64
cancel-sign-sub-inv_binary64
associate-*r*_binary64 associate-*l*_binary64
pow1_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 associate-*l/_binary64
associate-/l*_binary64 times-frac_binary64
add-log-exp_binary64 sub-neg_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-exp_binary64
pow-prod-down_binary64 associate-/r*_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 67
Calls

2 calls:

13.0ms
(*.f64 (-.f64 y z) (-.f64 y t))
11.0ms
(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series227.0ms (4.9%)

Counts
2 → 6
Calls

2 calls:

181.0ms
(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
46.0ms
(*.f64 (-.f64 y z) (-.f64 y t))

simplify55.0ms (1.2%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051671174

prune101.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New69473
Fresh000
Picked011
Done000
Total69574

Merged error: 0b

Counts
74 → 5
Compiler

Compiled 1898 to 878 computations (53.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 y z))
0.0b
(/.f64 x (-.f64 y t))
1.2b
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))

rewrite52.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt_binary64
71×*-un-lft-identity_binary64
67×times-frac_binary64
41×add-cube-cbrt_binary64
25×add-exp-log_binary64
21×associate-*r*_binary64 associate-*l*_binary64
19×add-cbrt-cube_binary64
14×difference-of-squares_binary64 distribute-lft-out--_binary64
10×associate-/r*_binary64
associate-/r/_binary64
div-exp_binary64
pow1_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 associate-/l*_binary64
flip3--_binary64 cbrt-unprod_binary64 div-inv_binary64 flip--_binary64
add-log-exp_binary64 rec-exp_binary64
clear-num_binary64 frac-2neg_binary64
pow-prod-down_binary64 associate-*r/_binary64 inv-pow_binary64 pow-flip_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
3 → 147
Calls

3 calls:

24.0ms
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))
7.0ms
(/.f64 x (-.f64 y t))
7.0ms
(/.f64 1 (-.f64 y z))

series437.0ms (9.5%)

Counts
3 → 9
Calls

3 calls:

312.0ms
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))
71.0ms
(/.f64 x (-.f64 y t))
53.0ms
(/.f64 1 (-.f64 y z))

simplify84.0ms (1.8%)

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
061932244

prune135.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1551156
Fresh033
Picked011
Done011
Total1556161

Merged error: 0b

Counts
161 → 6
Compiler

Compiled 3012 to 1159 computations (61.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 x (-.f64 y t))
1.2b
(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))

rewrite44.0ms (1%)

Algorithm
rewrite-expression-head
Rules
210×times-frac_binary64
176×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
88×add-cube-cbrt_binary64
44×difference-of-squares_binary64 distribute-lft-out--_binary64
24×associate-/l*_binary64
16×associate-/r/_binary64
10×associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
flip3--_binary64 div-inv_binary64 flip--_binary64
cbrt-undiv_binary64 div-exp_binary64
add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
associate-/l/_binary64
Counts
2 → 185
Calls

2 calls:

14.0ms
(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))
6.0ms
(/.f64 x (-.f64 y t))

series234.0ms (5.1%)

Counts
2 → 6
Calls

2 calls:

171.0ms
(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))
63.0ms
(/.f64 x (-.f64 y t))

simplify103.0ms (2.2%)

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
053844775

prune153.0ms (3.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1910191
Fresh033
Picked011
Done022
Total1916197

Merged error: 0b

Counts
197 → 6
Compiler

Compiled 4129 to 979 computations (76.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (-.f64 y t))
0.2b
(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
1.2b
(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

rewrite180.0ms (3.9%)

Algorithm
rewrite-expression-head
Rules
1260×times-frac_binary64
844×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
468×add-cube-cbrt_binary64
188×difference-of-squares_binary64 distribute-lft-out--_binary64
136×associate-/r*_binary64
60×associate-/r/_binary64
33×div-inv_binary64
28×flip3--_binary64 flip--_binary64
25×add-exp-log_binary64
19×add-cbrt-cube_binary64
13×div-exp_binary64
11×associate-/l*_binary64
10×cbrt-undiv_binary64
pow1_binary64
add-log-exp_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
associate-/l/_binary64
div-sub_binary64 inv-pow_binary64 pow-flip_binary64
Counts
3 → 651
Calls

3 calls:

31.0ms
(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
15.0ms
(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
6.0ms
(/.f64 x (-.f64 y t))

series470.0ms (10.2%)

Counts
3 → 9
Calls

3 calls:

306.0ms
(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
103.0ms
(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
62.0ms
(/.f64 x (-.f64 y t))

simplify193.0ms (4.2%)

Algorithm
egg-herbie
Counts
660 → 660
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
0498220136
1498220136

prune682.0ms (14.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New6600660
Fresh022
Picked011
Done033
Total6606666

Merged error: 0b

Counts
666 → 6
Compiler

Compiled 16943 to 4365 computations (74.2% saved)

regimes97.0ms (2.1%)

Compiler

Compiled 580 to 544 computations (6.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05116
15116

end0.0ms (0%)

sample663.0ms (14.4%)

Algorithm
intervals
Results
302.0ms8000×body128valid
16.0ms431×body128invalid
Compiler

Compiled 97 to 91 computations (6.2% saved)

Profiling

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