Details

Time bar (total: 3.2s)

analyze98.0ms (3.1%)

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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%46.8%3.2%7
56.2%37.5%6.3%8
62.4%25.8%11.8%9
65.6%20.3%14.1%10
68.7%13.5%17.9%11
70.2%10.5%19.2%12
71.8%6.9%21.3%13
72.6%5.4%22%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample14.0ms (0.4%)

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms15×body80invalid
Compiler

Compiled 23 to 23 computations (0% saved)

simplify104.0ms (3.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
0486316
1486316

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 7.0b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 1 x) (-.f64 3 x))
6.6b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))

rewrite29.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
16×add-exp-log_binary64 add-cbrt-cube_binary64
12×flip3--_binary64 flip--_binary64
11×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
associate-/l/_binary64 frac-times_binary64
associate-*l*_binary64
cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64
pow1_binary64 cbrt-undiv_binary64 associate-*r/_binary64 add-cube-cbrt_binary64 div-exp_binary64 associate-*l/_binary64
difference-of-squares_binary64
add-log-exp_binary64 sub-neg_binary64 distribute-lft-out--_binary64
pow-prod-down_binary64 associate-/r*_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 62
Calls

2 calls:

16.0ms
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
10.0ms
(*.f64 (-.f64 1 x) (-.f64 3 x))

series10.0ms (0.3%)

Counts
2 → 6
Calls

2 calls:

7.0ms
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
3.0ms
(*.f64 (-.f64 1 x) (-.f64 3 x))

simplify88.0ms (2.8%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049651102
149651102

prune65.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New64468
Fresh000
Picked011
Done000
Total64569

Merged error: 0.0b

Counts
69 → 5
Compiler

Compiled 1258 to 921 computations (26.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 3 x) 3)
0.1b
(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
0.1b
(/.f64 y (/.f64 (-.f64 3 x) 3))

rewrite90.0ms (2.8%)

Algorithm
rewrite-expression-head
Rules
1218×times-frac_binary64
808×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
461×add-cube-cbrt_binary64
205×difference-of-squares_binary64
142×distribute-lft-out--_binary64
84×associate-/r*_binary64
35×div-inv_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
14×associate-/l*_binary64
10×cbrt-undiv_binary64 div-exp_binary64
associate-/r/_binary64
associate-/l/_binary64
add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
flip3--_binary64 div-sub_binary64 flip--_binary64
Counts
3 → 592
Calls

3 calls:

23.0ms
(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
9.0ms
(/.f64 y (/.f64 (-.f64 3 x) 3))
6.0ms
(/.f64 (-.f64 3 x) 3)

series18.0ms (0.5%)

Counts
3 → 9
Calls

3 calls:

7.0ms
(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
7.0ms
(/.f64 y (/.f64 (-.f64 3 x) 3))
4.0ms
(/.f64 (-.f64 3 x) 3)

simplify232.0ms (7.2%)

Algorithm
egg-herbie
Counts
601 → 601
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0530419845

prune984.0ms (30.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New5992601
Fresh123
Picked011
Done101
Total6015606

Merged error: 0b

Counts
606 → 5
Compiler

Compiled 14767 to 10362 computations (29.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 3 x) 3)
0.1b
(/.f64 (/.f64 (-.f64 3 x) 3) y)
0.1b
(*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 3 x) 3) y))

rewrite56.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
237×times-frac_binary64
179×add-sqr-sqrt_binary64
170×*-un-lft-identity_binary64
117×add-cube-cbrt_binary64
61×associate-*r*_binary64
27×difference-of-squares_binary64
26×distribute-lft-out--_binary64
24×associate-/l*_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
10×div-inv_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-/r*_binary64 associate-*l*_binary64
pow1_binary64
associate-/l/_binary64 add-log-exp_binary64 flip3--_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 div-sub_binary64 prod-exp_binary64 flip--_binary64
clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
3 → 223
Calls

3 calls:

28.0ms
(*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 3 x) 3) y))
9.0ms
(/.f64 (/.f64 (-.f64 3 x) 3) y)
6.0ms
(/.f64 (-.f64 3 x) 3)

series17.0ms (0.5%)

Counts
3 → 9
Calls

3 calls:

7.0ms
(*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 3 x) 3) y))
5.0ms
(/.f64 (/.f64 (-.f64 3 x) 3) y)
4.0ms
(/.f64 (-.f64 3 x) 3)

simplify135.0ms (4.2%)

Algorithm
egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
049544580
149544580

prune209.0ms (6.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2320232
Fresh033
Picked011
Done011
Total2325237

Merged error: 0b

Counts
237 → 5
Compiler

Compiled 4709 to 3410 computations (27.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 1 x) y)
0.3b
(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
0.3b
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))

rewrite36.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt_binary64
50×*-un-lft-identity_binary64
40×times-frac_binary64
27×add-cube-cbrt_binary64
22×associate-*l*_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
15×difference-of-squares_binary64
distribute-lft-out--_binary64
associate-/l/_binary64 associate-/l*_binary64
associate-/r*_binary64 cbrt-undiv_binary64 div-exp_binary64
pow1_binary64 flip3--_binary64 associate-*r*_binary64 flip--_binary64
cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64 frac-times_binary64
add-log-exp_binary64 div-inv_binary64
sub-neg_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64
pow-prod-down_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-sub_binary64 *-commutative_binary64
Counts
3 → 119
Calls

3 calls:

13.0ms
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
12.0ms
(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
6.0ms
(/.f64 (-.f64 1 x) y)

series18.0ms (0.6%)

Counts
3 → 9
Calls

3 calls:

7.0ms
(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
6.0ms
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
4.0ms
(/.f64 (-.f64 1 x) y)

simplify86.0ms (2.7%)

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049572004
149572004

prune85.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh022
Picked011
Done022
Total1285133

Merged error: 0b

Counts
133 → 5
Compiler

Compiled 2216 to 1547 computations (30.2% saved)

regimes83.0ms (2.6%)

Compiler

Compiled 229 to 211 computations (7.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02416
12416

end0.0ms (0%)

sample710.0ms (22.2%)

Algorithm
intervals
Results
232.0ms8000×body80valid
10.0ms355×body80invalid
Compiler

Compiled 107 to 98 computations (8.4% saved)

Profiling

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