Details

Time bar (total: 2.2s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample11.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify92.0ms (4.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02110
12110

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite10.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_1464
12×times-frac_binary64_1448
10×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
associate-/l*_binary64_1387 difference-of-squares_binary64_1411
associate-/r*_binary64_1386 add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
associate-/l/_binary64_1389
cbrt-undiv_binary64_1476 div-inv_binary64_1439 clear-num_binary64_1441 flip3--_binary64_1446 add-log-exp_binary64_1481 flip--_binary64_1417 frac-2neg_binary64_1453 pow1_binary64_1503 div-sub_binary64_1447 div-exp_binary64_1493
Counts
1 → 34
Calls

1 calls:

7.0ms
(/.f64 (-.f64 (*.f64 x x) 3) 6)

series27.0ms (1.2%)

Counts
1 → 4
Calls

1 calls:

27.0ms
(/.f64 (-.f64 (*.f64 x x) 3) 6)
Compiler

Compiled 43 to 44 computations (-2.3% saved)

simplify55.0ms (2.6%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04894597
14894597

prune42.0ms (1.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New33538
Fresh000
Picked101
Done000
Total34539

Merged error: 0b

Counts
39 → 5
Compiler

Compiled 570 to 394 computations (30.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)

rewrite8.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1464
associate-*l*_binary64_1383
associate-*r*_binary64_1382 add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480 pow1_binary64_1503 add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
associate-*l/_binary64_1385
cbrt-unprod_binary64_1475 flip3--_binary64_1446 pow-prod-down_binary64_1513 *-commutative_binary64_1373 add-log-exp_binary64_1481 flip--_binary64_1417 prod-exp_binary64_1491 difference-of-squares_binary64_1411 unswap-sqr_binary64_1410
Counts
1 → 21
Calls

1 calls:

7.0ms
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)

series22.0ms (1%)

Counts
1 → 4
Calls

1 calls:

22.0ms
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)
Compiler

Compiled 43 to 44 computations (-2.3% saved)

simplify71.0ms (3.3%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04506286
14506286

prune22.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New25025
Fresh044
Picked011
Done000
Total25530

Merged error: 0b

Counts
30 → 5
Compiler

Compiled 349 to 238 computations (31.8% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 6 (-.f64 (*.f64 x x) 3))
0.1b
(/.f64 1 (/.f64 6 (-.f64 (*.f64 x x) 3)))

rewrite28.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
114×times-frac_binary64_1448
78×add-sqr-sqrt_binary64_1464
62×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
22×associate-/r*_binary64_1386
16×difference-of-squares_binary64_1411
15×add-exp-log_binary64_1480
11×associate-/r/_binary64_1388
add-cbrt-cube_binary64_1478
div-exp_binary64_1493
div-inv_binary64_1439 associate-/l*_binary64_1387
flip3--_binary64_1446 flip--_binary64_1417
cbrt-undiv_binary64_1476
pow1_binary64_1503
clear-num_binary64_1441 1-exp_binary64_1486 rec-exp_binary64_1492 add-log-exp_binary64_1481 frac-2neg_binary64_1453
inv-pow_binary64_1527 pow-flip_binary64_1516
Counts
2 → 129
Calls

2 calls:

10.0ms
(/.f64 1 (/.f64 6 (-.f64 (*.f64 x x) 3)))
6.0ms
(/.f64 6 (-.f64 (*.f64 x x) 3))

series47.0ms (2.2%)

Counts
2 → 10
Calls

2 calls:

25.0ms
(/.f64 6 (-.f64 (*.f64 x x) 3))
22.0ms
(/.f64 1 (/.f64 6 (-.f64 (*.f64 x x) 3)))
Compiler

Compiled 134 to 131 computations (2.2% saved)

simplify94.0ms (4.4%)

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
048552768
148552768

prune135.0ms (6.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1390139
Fresh033
Picked011
Done011
Total1395144

Merged error: 0b

Counts
144 → 5
Compiler

Compiled 2343 to 1711 computations (27% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) (sqrt.f64 6)) (sqrt.f64 6))
0.8b
(/.f64 (-.f64 (*.f64 x x) 3) (sqrt.f64 6))

rewrite63.0ms (2.9%)

Algorithm
rewrite-expression-head
Rules
360×times-frac_binary64_1448
231×add-sqr-sqrt_binary64_1464
186×sqrt-prod_binary64_1458
182×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
49×difference-of-squares_binary64_1411
32×associate-/l*_binary64_1387
12×associate-/r*_binary64_1386
add-cbrt-cube_binary64_1478 div-inv_binary64_1439 add-exp-log_binary64_1480
cbrt-undiv_binary64_1476 div-exp_binary64_1493
associate-/l/_binary64_1389 div-sub_binary64_1447
clear-num_binary64_1441 add-log-exp_binary64_1481 frac-2neg_binary64_1453 pow1_binary64_1503
flip3--_binary64_1446 flip--_binary64_1417
Counts
2 → 267
Calls

2 calls:

15.0ms
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) (sqrt.f64 6)) (sqrt.f64 6))
8.0ms
(/.f64 (-.f64 (*.f64 x x) 3) (sqrt.f64 6))

series107.0ms (4.9%)

Counts
2 → 8
Calls

2 calls:

64.0ms
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) (sqrt.f64 6)) (sqrt.f64 6))
42.0ms
(/.f64 (-.f64 (*.f64 x x) 3) (sqrt.f64 6))
Compiler

Compiled 195 to 197 computations (-1% saved)

simplify113.0ms (5.2%)

Algorithm
egg-herbie
Counts
275 → 275
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
056857868

prune368.0ms (17%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2750275
Fresh022
Picked011
Done022
Total2755280

Merged error: 0b

Counts
280 → 5
Compiler

Compiled 5810 to 4510 computations (22.4% saved)

regimes161.0ms (7.5%)

Compiler

Compiled 1473 to 1185 computations (19.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01710
11710

end0.0ms (0%)

sample653.0ms (30.2%)

Algorithm
intervals
Results
194.0ms8000×body128valid
Compiler

Compiled 295 to 240 computations (18.6% saved)

Profiling

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