Details

Time bar (total: 7.4s)

analyze462.0ms (6.3%)

Algorithm
1×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)

sample47.0ms (0.6%)

Algorithm
1×intervals
Results
11.0ms93×body256valid
11.0ms282×pre128true
10.0ms163×body128valid
1.0ms26×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify506.0ms (6.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (388.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
44.1b
Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(*.f64 (*.f64 3 a) c)
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
39.9b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite67.0ms (0.9%)

Algorithm
1×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
9×pow1_binary64_1503
8×add-log-exp_binary64_1481 add-cube-cbrt_binary64_1477
6×times-frac_binary64_1448 associate-/l*_binary64_1387 difference-of-squares_binary64_1411
4×cancel-sign-sub-inv_binary64_1408 cbrt-unprod_binary64_1475 prod-exp_binary64_1491
3×associate-*r*_binary64_1382 flip3--_binary64_1446 pow-prod-down_binary64_1513 flip--_binary64_1417 sqrt-prod_binary64_1458 distribute-lft-out--_binary64_1394
2×cbrt-undiv_binary64_1476 associate-/l/_binary64_1389 sub-neg_binary64_1435 diff-log_binary64_1534 div-exp_binary64_1493
1×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

4 calls:

22.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
13.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
11.0ms
(*.f64 (*.f64 3 a) c)
8.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series314.0ms (4.3%)

Counts
4 → 12
Calls

4 calls:

131.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
103.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
63.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
15.0ms
(*.f64 (*.f64 3 a) c)

simplify110.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
051801823

prune175.0ms (2.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390
Error
5.0b
Counts
90 → 13
Compiler

Compiled 2347 to 1427 computations (39.2% saved)

localize6.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune17.0ms (0.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313
Error
5.0b
Counts
13 → 13
Compiler

Compiled 366 to 261 computations (28.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.3b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite40.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
49×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
17×cbrt-unprod_binary64_1475 prod-exp_binary64_1491
16×cbrt-undiv_binary64_1476 div-exp_binary64_1493
10×add-sqr-sqrt_binary64_1464
8×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
7×associate-*r*_binary64_1382 times-frac_binary64_1448
5×pow1_binary64_1503
4×associate-/r*_binary64_1386
3×div-inv_binary64_1439 associate-*l*_binary64_1383 add-log-exp_binary64_1481
2×associate-*r/_binary64_1384 clear-num_binary64_1441 associate-/l*_binary64_1387 frac-2neg_binary64_1453
1×associate-/l/_binary64_1389 pow-prod-down_binary64_1513 *-commutative_binary64_1373 unswap-sqr_binary64_1410
Counts
3 → 78
Calls

3 calls:

11.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
9.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
8.0ms
(/.f64 (*.f64 a c) b)

series102.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

46.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
37.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
18.0ms
(/.f64 (*.f64 a c) b)

simplify85.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04962874
14962874

prune108.0ms (1.5%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New751287
Fresh01111
Picked101
Done011
Total7624100
Error
4.9b
Counts
100 → 24
Compiler

Compiled 1618 to 949 computations (41.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 -3/2 (/.f64 a (sqrt.f64 b)))
0.2b
(/.f64 a (sqrt.f64 b))
0.3b
(/.f64 (*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b))) (*.f64 3 a))
0.4b
(*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b)))

rewrite66.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
97×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
57×times-frac_binary64_1448
54×add-sqr-sqrt_binary64_1464
46×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
44×associate-*r*_binary64_1382
39×cbrt-unprod_binary64_1475 prod-exp_binary64_1491
31×cbrt-undiv_binary64_1476 sqrt-prod_binary64_1458 div-exp_binary64_1493
11×pow1_binary64_1503
7×associate-*r/_binary64_1384 associate-/r*_binary64_1386
4×div-inv_binary64_1439 associate-/l*_binary64_1387 associate-*l*_binary64_1383 pow-prod-down_binary64_1513 add-log-exp_binary64_1481
3×associate-/l/_binary64_1389 unswap-sqr_binary64_1410
2×clear-num_binary64_1441 *-commutative_binary64_1373 frac-2neg_binary64_1453 frac-times_binary64_1452 associate-*l/_binary64_1385
Counts
4 → 173
Calls

4 calls:

14.0ms
(/.f64 (*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b))) (*.f64 3 a))
13.0ms
(*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b)))
10.0ms
(*.f64 -3/2 (/.f64 a (sqrt.f64 b)))
4.0ms
(/.f64 a (sqrt.f64 b))

series236.0ms (3.2%)

Counts
4 → 12
Calls

4 calls:

88.0ms
(*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b)))
57.0ms
(/.f64 (*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b))) (*.f64 3 a))
51.0ms
(*.f64 -3/2 (/.f64 a (sqrt.f64 b)))
40.0ms
(/.f64 a (sqrt.f64 b))

simplify134.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
049472676
149472676

prune221.0ms (3%)

Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New17411185
Fresh51722
Picked101
Done011
Total18029209
Error
4.9b
Counts
209 → 29
Compiler

Compiled 3375 to 1388 computations (58.9% saved)

regimes1.1s (14.7%)

Accuracy

Total 5.1b remaining (49.7%)

Threshold costs 0b (0%)

Compiler

Compiled 8256 to 6036 computations (26.9% saved)

bsearch8.0ms (0.1%)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08781
18781

end0.0ms (0%)

sample3.5s (47.9%)

Algorithm
1×intervals
Results
418.0ms2917×body256valid
385.0ms8868×pre128true
373.0ms5083×body128valid
59.0ms868×body128nan
Compiler

Compiled 1726 to 1257 computations (27.2% saved)

Profiling

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