Details

Time bar (total: 6.5s)

analyze762.0ms (11.8%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0521632
022
122
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
12.5%87.4%0.1%4
25%74.9%0.1%5
31.2%68.7%0.1%6
67.1%32.8%0.1%7
71%28.9%0.1%8
82.3%17.6%0.1%9
84.9%15%0.1%10
90.8%9.1%0.1%11
92.2%7.7%0.1%12
95.3%4.6%0.1%13
96%3.9%0.1%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample26.0ms (0.4%)

Algorithm
intervals
Results
8.0ms198×body128valid
3.0ms23×body1024valid
2.0ms22×body512valid
1.0ms13×body256valid
Compiler

Compiled 23 to 23 computations (0% saved)

simplify226.0ms (3.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (220.0ms)

IterNodesCost
0485216
1485216

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
24.7b
Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (-.f64 1 x) y)
2.2b
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
9.3b
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite138.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
14.3b
Rules
21×*-un-lft-identity_binary64_16446
17×add-sqr-sqrt_binary64_16468
10×add-exp-log_binary64_16484 add-cbrt-cube_binary64_16482 cancel-sign-sub-inv_binary64_16412
add-cube-cbrt_binary64_16481
times-frac_binary64_16452
associate-*l*_binary64_16387
pow1_binary64_16507 add-log-exp_binary64_16485
associate-*l/_binary64_16389 associate-/r/_binary64_16392 associate-/r*_binary64_16390 difference-of-squares_binary64_16415
distribute-lft-out_binary64_16397 flip3--_binary64_16450 flip--_binary64_16421 associate-*r*_binary64_16386
prod-exp_binary64_16495 div-exp_binary64_16497 cbrt-undiv_binary64_16480 cbrt-unprod_binary64_16479 div-inv_binary64_16443 associate-/l/_binary64_16393 flip3-+_binary64_16449 flip-+_binary64_16420 distribute-lft-out--_binary64_16398
frac-2neg_binary64_16457 clear-num_binary64_16445 associate-/l*_binary64_16391 diff-log_binary64_16538 sub-neg_binary64_16439 pow-prod-down_binary64_16517 unswap-sqr_binary64_16414 *-commutative_binary64_16377
Counts
3 → 74
Calls

3 calls:

11.0ms
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
10.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
7.0ms
(*.f64 (-.f64 1 x) y)
Compiler

Compiled 1435 to 1072 computations (25.3% saved)

series428.0ms (6.6%)

Error
0.1b
Counts
3 → 45
Calls

3 calls:

153.0ms
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
136.0ms
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
64.0ms
(*.f64 (-.f64 1 x) y)
Compiler

Compiled 1482 to 1094 computations (26.2% saved)

simplify81.0ms (1.2%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
052721940

prune139.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1145119
Fresh000
Picked101
Done000
Total1155120
Error
0.0b
Counts
120 → 5
Compiler

Compiled 1939 to 1177 computations (39.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
0.0b
(/.f64 y (+.f64 y 1))
2.2b
(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))

rewrite152.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
42×*-un-lft-identity_binary64_16446
33×add-sqr-sqrt_binary64_16468
25×add-cube-cbrt_binary64_16481 times-frac_binary64_16452
18×associate-*l*_binary64_16387
13×cancel-sign-sub-inv_binary64_16412
10×add-exp-log_binary64_16484 add-cbrt-cube_binary64_16482
distribute-rgt-in_binary64_16396 associate--r+_binary64_16382 distribute-lft-in_binary64_16395
distribute-lft-out_binary64_16397
associate-*r*_binary64_16386
add-log-exp_binary64_16485 pow1_binary64_16507 sub-neg_binary64_16439
associate-/r/_binary64_16392 associate-/r*_binary64_16390
flip3--_binary64_16450 flip--_binary64_16421 associate-/l*_binary64_16391
div-exp_binary64_16497 cbrt-undiv_binary64_16480 div-inv_binary64_16443 flip3-+_binary64_16449 flip-+_binary64_16420 prod-exp_binary64_16495 cbrt-unprod_binary64_16479 frac-times_binary64_16456 unswap-sqr_binary64_16414 associate-*r/_binary64_16388 difference-of-squares_binary64_16415
diff-log_binary64_16538 frac-2neg_binary64_16457 clear-num_binary64_16445 pow-prod-down_binary64_16517 associate-*l/_binary64_16389 distribute-lft-out--_binary64_16398 *-commutative_binary64_16377
Counts
3 → 105
Calls

3 calls:

14.0ms
(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
5.0ms
(/.f64 y (+.f64 y 1))
5.0ms
(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))
Compiler

Compiled 2095 to 1479 computations (29.4% saved)

series344.0ms (5.3%)

Error
0.0b
Counts
3 → 48
Calls

3 calls:

142.0ms
(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))
124.0ms
(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
29.0ms
(/.f64 y (+.f64 y 1))
Compiler

Compiled 1562 to 1186 computations (24.1% saved)

simplify80.0ms (1.2%)

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049632490
149632490

prune151.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1530153
Fresh044
Picked011
Done000
Total1535158
Error
0.0b
Counts
158 → 5
Compiler

Compiled 2646 to 1785 computations (32.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite60.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
15×*-un-lft-identity_binary64_16446
13×add-sqr-sqrt_binary64_16468 cancel-sign-sub-inv_binary64_16412
10×times-frac_binary64_16452
add-cube-cbrt_binary64_16481
add-log-exp_binary64_16485
distribute-lft-out--_binary64_16398
diff-log_binary64_16538 frac-sub_binary64_16455 difference-of-squares_binary64_16415 div-inv_binary64_16443 distribute-lft-out_binary64_16397
sum-log_binary64_16537 pow1_binary64_16507 add-exp-log_binary64_16484 add-cbrt-cube_binary64_16482 flip3-+_binary64_16449 flip-+_binary64_16420 flip3--_binary64_16450 sub-neg_binary64_16439 flip--_binary64_16421 associate--l+_binary64_16383
Counts
1 → 33
Calls

1 calls:

15.0ms
(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
Compiler

Compiled 633 to 331 computations (47.7% saved)

series112.0ms (1.7%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

101.0ms
(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
Compiler

Compiled 214 to 157 computations (26.6% saved)

simplify134.0ms (2.1%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
04911572
14911572

prune59.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New45045
Fresh033
Picked011
Done011
Total45550
Error
0.0b
Counts
50 → 5
Compiler

Compiled 589 to 336 computations (43% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite90.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
20×*-un-lft-identity_binary64_16446 cancel-sign-sub-inv_binary64_16412
12×add-sqr-sqrt_binary64_16468
10×add-log-exp_binary64_16485 add-cube-cbrt_binary64_16481 distribute-rgt-in_binary64_16396 distribute-lft-in_binary64_16395 associate-+r+_binary64_16378
pow1_binary64_16507 add-exp-log_binary64_16484 add-cbrt-cube_binary64_16482 sub-neg_binary64_16439 distribute-lft-out_binary64_16397
associate-*l*_binary64_16387 associate-*r*_binary64_16386
flip3--_binary64_16450 associate-*r/_binary64_16388 flip--_binary64_16421 sum-log_binary64_16537 diff-log_binary64_16538
pow-prod-down_binary64_16517 prod-exp_binary64_16495 cbrt-unprod_binary64_16479 unswap-sqr_binary64_16414 *-commutative_binary64_16377 associate--r+_binary64_16382 flip3-+_binary64_16449 flip-+_binary64_16420 +-commutative_binary64_16376
Counts
3 → 68
Calls

3 calls:

11.0ms
(+.f64 y (*.f64 y (-.f64 (*.f64 y x) (+.f64 x y))))
10.0ms
(*.f64 y (-.f64 (*.f64 y x) (+.f64 x y)))
8.0ms
(-.f64 (*.f64 y x) (+.f64 x y))
Compiler

Compiled 1492 to 413 computations (72.3% saved)

series456.0ms (7.1%)

Error
0.0b
Counts
3 → 36
Calls

3 calls:

200.0ms
(+.f64 y (*.f64 y (-.f64 (*.f64 y x) (+.f64 x y))))
138.0ms
(*.f64 y (-.f64 (*.f64 y x) (+.f64 x y)))
94.0ms
(-.f64 (*.f64 y x) (+.f64 x y))
Compiler

Compiled 1214 to 856 computations (29.5% saved)

simplify98.0ms (1.5%)

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
049341462
149341462

prune75.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh022
Picked011
Done022
Total1045109
Error
0.0b
Counts
109 → 5
Compiler

Compiled 1729 to 479 computations (72.3% saved)

regimes923.0ms (14.3%)

Accuracy

Total 0.0b remaining (27.7%)

Threshold costs 0.0b (27.7%)

Compiler

Compiled 5084 to 4260 computations (16.2% saved)

bsearch54.0ms (0.8%)

Steps
ItersRangePoint
9
3575721.5253420603
32595137043775.008
89866444.08949669
10
-1.2505815244524027e+27
-1137843880.770242
-1169275214.8150542
Compiler

Compiled 1 to 2 computations (-100% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
027058
127058

end0.0ms (0%)

sample1.8s (28.5%)

Algorithm
intervals
Results
257.0ms6313×body128valid
82.0ms581×body1024valid
75.0ms668×body512valid
31.0ms432×body256valid
1.0msbody2048valid
Compiler

Compiled 1010 to 835 computations (17.3% saved)

Profiling

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