Details

Time bar (total: 5.1s)

analyze501.0ms (9.8%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0493796
1493796
033
133
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)

sample34.0ms (0.7%)

Algorithm
1×intervals
Results
12.0ms249×body128valid
9.0ms292×pre128true
2.0ms36×body128nan
1.0ms7×body256valid
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify280.0ms (5.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (274.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
30.2b
Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(*.f64 (*.f64 3 a) c)
0.4b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
30.0b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite38.0ms (0.7%)

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:

12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
8.0ms
(*.f64 (*.f64 3 a) c)
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series236.0ms (4.6%)

Counts
4 → 12
Calls

4 calls:

118.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
66.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
36.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
15.0ms
(*.f64 (*.f64 3 a) c)

simplify60.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051801823

prune124.0ms (2.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New741589
Fresh000
Picked101
Done000
Total751590
Error
9.0b
Counts
90 → 15
Compiler

Compiled 2404 to 1467 computations (39% 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

prune20.0ms (0.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01414
Picked011
Done000
Total01515
Error
9.0b
Counts
15 → 15
Compiler

Compiled 423 to 301 computations (28.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite25.0ms (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:

9.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
4.0ms
(/.f64 (*.f64 a c) b)

series73.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

27.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
25.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
21.0ms
(/.f64 (*.f64 a c) b)

simplify52.0ms (1%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04962874
14962874

prune287.0ms (5.6%)

Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New711687
Fresh01313
Picked101
Done101
Total7329102
Error
8.9b
Counts
102 → 29
Compiler

Compiled 1719 to 1031 computations (40% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(/.f64 b (*.f64 a c))
0.3b
(/.f64 1 (/.f64 b (*.f64 a c)))
0.3b
(*.f64 -3/2 (/.f64 1 (/.f64 b (*.f64 a c))))
0.4b
(/.f64 (*.f64 -3/2 (/.f64 1 (/.f64 b (*.f64 a c)))) (*.f64 3 a))

rewrite57.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
161×add-exp-log_binary64_1480
77×add-cbrt-cube_binary64_1478
72×div-exp_binary64_1493
69×times-frac_binary64_1448
54×prod-exp_binary64_1491
44×add-sqr-sqrt_binary64_1464
38×*-un-lft-identity_binary64_1442
37×add-cube-cbrt_binary64_1477
32×cbrt-undiv_binary64_1476
26×associate-*r*_binary64_1382
22×cbrt-unprod_binary64_1475
12×1-exp_binary64_1486 rec-exp_binary64_1492
11×div-inv_binary64_1439
9×associate-/r*_binary64_1386
7×associate-/l*_binary64_1387 pow1_binary64_1503
4×add-log-exp_binary64_1481
3×clear-num_binary64_1441 associate-*l*_binary64_1383 frac-2neg_binary64_1453 unswap-sqr_binary64_1410
2×associate-*r/_binary64_1384 associate-/l/_binary64_1389 associate-/r/_binary64_1388 un-div-inv_binary64_1440
1×inv-pow_binary64_1527 pow-prod-down_binary64_1513 *-commutative_binary64_1373 pow-flip_binary64_1516
Counts
4 → 181
Calls

4 calls:

13.0ms
(*.f64 -3/2 (/.f64 1 (/.f64 b (*.f64 a c))))
12.0ms
(/.f64 (*.f64 -3/2 (/.f64 1 (/.f64 b (*.f64 a c)))) (*.f64 3 a))
7.0ms
(/.f64 1 (/.f64 b (*.f64 a c)))
5.0ms
(/.f64 b (*.f64 a c))

series88.0ms (1.7%)

Counts
4 → 12
Calls

4 calls:

28.0ms
(*.f64 -3/2 (/.f64 1 (/.f64 b (*.f64 a c))))
23.0ms
(/.f64 1 (/.f64 b (*.f64 a c)))
19.0ms
(/.f64 b (*.f64 a c))
19.0ms
(/.f64 (*.f64 -3/2 (/.f64 1 (/.f64 b (*.f64 a c)))) (*.f64 3 a))

simplify80.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050702401

prune158.0ms (3.1%)

Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New1894193
Fresh22628
Picked011
Done000
Total19131222
Error
8.9b
Counts
222 → 31
Compiler

Compiled 2947 to 1511 computations (48.7% saved)

regimes837.0ms (16.3%)

Accuracy

Total 5.3b remaining (37.1%)

Threshold costs 0b (0%)

Compiler

Compiled 6881 to 5046 computations (26.7% saved)

bsearch3.0ms (0.1%)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08781
18781

end0.0ms (0%)

sample2.1s (41.5%)

Algorithm
1×intervals
Results
389.0ms7668×body128valid
296.0ms8974×pre128true
45.0ms974×body128nan
32.0ms332×body256valid
Compiler

Compiled 1451 to 1059 computations (27% saved)

Profiling

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