Details

Time bar (total: 11.3s)

analyze267.0ms (2.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14
Compiler

Compiled 30 to 24 computations (20% saved)

sample35.0ms (0.3%)

Algorithm
intervals
Results
12.0ms243×body128valid
8.0ms287×pre128true
1.0ms31×body128nan
1.0ms13×body256valid
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify369.0ms (3.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (270.0ms)

IterNodesCost
0180224
1180224

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
28.9b
Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.4b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.2b
(*.f64 (*.f64 3 a) c)
0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))
0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(*.f64 (*.f64 3 a) c)
0.4b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
28.7b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite38.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_1464
14×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480 *-un-lft-identity_binary64_1442
pow1_binary64_1503
add-log-exp_binary64_1481 add-cube-cbrt_binary64_1477
times-frac_binary64_1448 associate-/l*_binary64_1387 difference-of-squares_binary64_1411
cancel-sign-sub-inv_binary64_1408 cbrt-unprod_binary64_1475 prod-exp_binary64_1491
associate-*r*_binary64_1382 flip3--_binary64_1446 pow-prod-down_binary64_1513 flip--_binary64_1417 sqrt-prod_binary64_1458 distribute-lft-out--_binary64_1394
cbrt-undiv_binary64_1476 associate-/l/_binary64_1389 sub-neg_binary64_1435 diff-log_binary64_1534 div-exp_binary64_1493
associate-/r*_binary64_1386 div-inv_binary64_1439 clear-num_binary64_1441 associate-*l*_binary64_1383 *-commutative_binary64_1373 frac-2neg_binary64_1453 div-sub_binary64_1447
Counts
4 → 77
Calls

8 calls:

12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
9.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
5.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))

series577.0ms (5.1%)

Counts
4 → 60
Calls

4 calls:

206.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
159.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
157.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
55.0ms
(*.f64 (*.f64 3 a) c)
Compiler

Compiled 1692 to 1453 computations (14.1% saved)

simplify57.0ms (0.5%)

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
052682923

prune221.0ms (1.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New12215137
Fresh000
Picked101
Done000
Total12315138
Error
0.6b
Counts
138 → 15
Compiler

Compiled 3445 to 2050 computations (40.5% saved)

localize32.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b
(*.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))
0.2b
(*.f64 a (*.f64 c c))
0.2b
(-.f64 (*.f64 -1/2 (/.f64 c b)) (+.f64 (*.f64 3/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3))) (*.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))))
0.1b
(-.f64 (-.f64 (*.f64 -1/2 (/.f64 c b)) (+.f64 (*.f64 3/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3))) (*.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))) (*.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
0.3b
(*.f64 (*.f64 a a) (pow.f64 c 3))
0.3b
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b
(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b
(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

rewrite65.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
144×add-exp-log_binary64_1480
72×prod-exp_binary64_1491
51×div-exp_binary64_1493
49×pow-exp_binary64_1510 pow-to-exp_binary64_1511
40×add-sqr-sqrt_binary64_1464
29×unpow-prod-down_binary64_1521
25×add-cbrt-cube_binary64_1478
20×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
19×associate-*r*_binary64_1382
16×unswap-sqr_binary64_1410
15×sqr-pow_binary64_1414
14×associate-/r*_binary64_1386 times-frac_binary64_1448
13×associate-*l*_binary64_1383
10×cube-prod_binary64_1470
cbrt-unprod_binary64_1475
cbrt-undiv_binary64_1476
add-log-exp_binary64_1481 pow1_binary64_1503
cube-mult_binary64_1472 div-inv_binary64_1439 clear-num_binary64_1441 associate-/l*_binary64_1387 *-commutative_binary64_1373 frac-2neg_binary64_1453 unpow3_binary64_1508
Counts
4 → 188
Calls

8 calls:

10.0ms
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms
(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms
(*.f64 (*.f64 a a) (pow.f64 c 3))
8.0ms
(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.0ms
(-.f64 (-.f64 (*.f64 -1/2 (/.f64 c b)) (+.f64 (*.f64 3/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3))) (*.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))) (*.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

series867.0ms (7.7%)

Counts
4 → 30
Calls

4 calls:

348.0ms
(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
293.0ms
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
123.0ms
(*.f64 (pow.f64 a 3) (pow.f64 c 4))
103.0ms
(*.f64 (*.f64 a a) (pow.f64 c 3))
Compiler

Compiled 2700 to 2130 computations (21.1% saved)

simplify106.0ms (0.9%)

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049843398
149843398

prune703.0ms (6.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New2153218
Fresh01414
Picked011
Done000
Total21518233
Error
0.6b
Counts
233 → 18
Compiler

Compiled 11184 to 7125 computations (36.3% saved)

localize38.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b
(*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3)))
0.2b
(+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))))
0.2b
(-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)))))
0.1b
(+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))
0.4b
(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b
(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.8b
(pow.f64 (*.f64 a c) 3)

rewrite87.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
83×add-exp-log_binary64_1480
38×prod-exp_binary64_1491
36×pow-exp_binary64_1510
35×pow-to-exp_binary64_1511
32×div-exp_binary64_1493
27×add-sqr-sqrt_binary64_1464
19×add-cbrt-cube_binary64_1478 unpow-prod-down_binary64_1521
15×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
11×sqr-pow_binary64_1414
10×associate-*r/_binary64_1384 times-frac_binary64_1448
unswap-sqr_binary64_1410
associate-/r*_binary64_1386
associate-*r*_binary64_1382 associate-/l/_binary64_1389 associate-*l*_binary64_1383 pow1_binary64_1503
frac-sub_binary64_1451
cbrt-undiv_binary64_1476 cbrt-unprod_binary64_1475 associate-/l*_binary64_1387 add-log-exp_binary64_1481 frac-add_binary64_1450
pow-unpow_binary64_1519
div-inv_binary64_1439 clear-num_binary64_1441 pow-prod-down_binary64_1513 rem-cube-cbrt_binary64_1465 frac-2neg_binary64_1453 flip3-+_binary64_1445 flip-+_binary64_1416 pow-pow_binary64_1514
cube-mult_binary64_1472 flip3--_binary64_1446 cube-prod_binary64_1470 *-commutative_binary64_1373 flip--_binary64_1417 unpow3_binary64_1508 div-sub_binary64_1447
Counts
4 → 150
Calls

8 calls:

33.0ms
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
9.0ms
(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms
(*.f64 (pow.f64 a 4) (pow.f64 c 4))
4.0ms
(pow.f64 (*.f64 a c) 3)
0.0ms
(+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))

series879.0ms (7.8%)

Counts
4 → 42
Calls

4 calls:

339.0ms
(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
329.0ms
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
115.0ms
(*.f64 (pow.f64 a 4) (pow.f64 c 4))
96.0ms
(pow.f64 (*.f64 a c) 3)
Compiler

Compiled 2775 to 2170 computations (21.8% saved)

simplify103.0ms (0.9%)

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050294802

prune791.0ms (7%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1839192
Fresh41216
Picked101
Done011
Total18822210
Error
0.5b
Counts
210 → 22
Compiler

Compiled 12184 to 7295 computations (40.1% saved)

localize32.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b
(*.f64 9/8 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3)))
0.2b
(+.f64 (*.f64 9/8 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))) (+.f64 (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))) (*.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7)))))
0.2b
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 (*.f64 a c) b) a)) (/.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))) (+.f64 (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))) (*.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))) (*.f64 a 3)))
0.2b
(+.f64 (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))) (*.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))
0.4b
(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
0.6b
(pow.f64 (*.f64 a c) 2)
0.8b
(pow.f64 (*.f64 a c) 3)
0.9b
(pow.f64 (*.f64 a c) 4)

rewrite37.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
35×times-frac_binary64_1448
33×add-exp-log_binary64_1480
29×unpow-prod-down_binary64_1521
27×add-sqr-sqrt_binary64_1464 add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
17×sqr-pow_binary64_1414
16×pow-exp_binary64_1510
13×pow1_binary64_1503
12×div-exp_binary64_1493
10×pow-to-exp_binary64_1511
add-cbrt-cube_binary64_1478 pow-unpow_binary64_1519
associate-/r*_binary64_1386
prod-exp_binary64_1491 pow-pow_binary64_1514
associate-/l*_binary64_1387
add-log-exp_binary64_1481
pow-prod-down_binary64_1513
rem-cube-cbrt_binary64_1465
cbrt-undiv_binary64_1476 cube-mult_binary64_1472 cbrt-unprod_binary64_1475 unpow2_binary64_1507 div-inv_binary64_1439 clear-num_binary64_1441 cube-prod_binary64_1470 frac-2neg_binary64_1453 unpow3_binary64_1508
Counts
4 → 127
Calls

8 calls:

7.0ms
(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
4.0ms
(pow.f64 (*.f64 a c) 4)
4.0ms
(pow.f64 (*.f64 a c) 3)
4.0ms
(pow.f64 (*.f64 a c) 2)
0.0ms
(+.f64 (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))) (*.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))

series606.0ms (5.3%)

Counts
4 → 27
Calls

4 calls:

338.0ms
(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
99.0ms
(pow.f64 (*.f64 a c) 4)
94.0ms
(pow.f64 (*.f64 a c) 3)
75.0ms
(pow.f64 (*.f64 a c) 2)
Compiler

Compiled 2754 to 2052 computations (25.5% saved)

simplify64.0ms (0.6%)

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050912247

prune484.0ms (4.3%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1540154
Fresh02020
Picked011
Done011
Total15422176
Error
0.5b
Counts
176 → 22
Compiler

Compiled 8284 to 4970 computations (40% saved)

simplify215.0ms (1.9%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (164.0ms)

IterNodesCost
050234418

regimes571.0ms (5%)

Compiler

Compiled 8769 to 6201 computations (29.3% saved)

bsearch0.0ms (0%)

regimes159.0ms (1.4%)

Compiler

Compiled 1776 to 1386 computations (22% saved)

bsearch0.0ms (0%)

regimes144.0ms (1.3%)

Compiler

Compiled 906 to 768 computations (15.2% saved)

bsearch9.0ms (0.1%)

Steps
ItersRangePoint
2
98.67834941615135
109.2079607480752
107.89175933158471
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes98.0ms (0.9%)

Compiler

Compiled 447 to 411 computations (8.1% saved)

bsearch8.0ms (0.1%)

Steps
ItersRangePoint
2
98.67834941615135
109.2079607480752
99.99455083264182
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes70.0ms (0.6%)

Compiler

Compiled 207 to 219 computations (-5.8% saved)

bsearch6.0ms (0.1%)

Steps
ItersRangePoint
1
109.2079607480752
113.8467659171954
112.68706462491534
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes65.0ms (0.6%)

Compiler

Compiled 159 to 180 computations (-13.2% saved)

bsearch5.0ms (0%)

Steps
ItersRangePoint
1
109.2079607480752
113.8467659171954
112.68706462491534
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes60.0ms (0.5%)

Compiler

Compiled 111 to 141 computations (-27% saved)

bsearch4.0ms (0%)

Steps
ItersRangePoint
1
109.2079607480752
113.8467659171954
112.68706462491534
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes31.0ms (0.3%)

Compiler

Compiled 63 to 102 computations (-61.9% saved)

bsearch0.0ms (0%)

regimes24.0ms (0.2%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes22.0ms (0.2%)

Accuracy

Total 5.1b remaining (89.1%)

Threshold costs 0b (0%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch12.0ms (0.1%)

Compiler

Compiled 249 to 193 computations (22.5% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0271368
1271368

end0.0ms (0%)

sample3.3s (29.5%)

Algorithm
intervals
Results
395.0ms7698×body128valid
272.0ms9013×pre128true
50.0ms1013×body128nan
29.0ms302×body256valid
Compiler

Compiled 3200 to 2281 computations (28.7% saved)

Pareto

0.8321054358028226

Profiling

Loading profile data...