Details

Time bar (total: 4.8s)

analyze282.0ms (5.9%)

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)

sample35.0ms (0.7%)

Algorithm
1×intervals
Results
13.0ms246×body128valid
9.0ms291×pre128true
2.0ms35×body128nan
1.0ms10×body256valid
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify424.0ms (8.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (258.0ms)

IterNodesCost
0170724
1170724

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 27.8b

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)
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
27.7b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite42.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64_1446
14×add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
13×*-un-lft-identity_binary64_1425
9×pow1_binary64_1483
8×add-log-exp_binary64_1461
7×add-cube-cbrt_binary64_1457
6×times-frac_binary64_1431 difference-of-squares_binary64_1394 associate-/l*_binary64_1372
4×prod-exp_binary64_1471 cbrt-unprod_binary64_1455
3×flip--_binary64_1400 distribute-lft-out--_binary64_1379 associate-*r*_binary64_1367 sqrt-prod_binary64_1440 flip3--_binary64_1429 pow-prod-down_binary64_1493
2×diff-log_binary64_1514 sub-neg_binary64_1418 div-exp_binary64_1473 associate-/l/_binary64_1374 cbrt-undiv_binary64_1456
1×frac-2neg_binary64_1436 associate-/r*_binary64_1371 associate-*l*_binary64_1368 clear-num_binary64_1424 div-sub_binary64_1430 div-inv_binary64_1422 *-commutative_binary64_1358
Counts
4 → 73
Calls

4 calls:

13.0ms
(/.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)
6.0ms
(*.f64 (*.f64 3 a) c)
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series438.0ms (9.1%)

Counts
4 → 12
Calls

4 calls:

213.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
133.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
64.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
28.0ms
(*.f64 (*.f64 3 a) c)

simplify58.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049251807
149251807

prune133.0ms (2.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New661985
Fresh000
Picked101
Done000
Total671986

Merged error: 8.7b

Counts
86 → 19
Compiler

Compiled 2425 to 1498 computations (38.2% saved)

localize4.0ms (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

prune26.0ms (0.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01818
Picked011
Done000
Total01919

Merged error: 8.7b

Counts
19 → 19
Compiler

Compiled 511 to 368 computations (28% saved)

localize8.0ms (0.2%)

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))

rewrite29.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
49×add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
17×prod-exp_binary64_1471 cbrt-unprod_binary64_1455
16×div-exp_binary64_1473 cbrt-undiv_binary64_1456
10×add-sqr-sqrt_binary64_1446
8×add-cube-cbrt_binary64_1457 *-un-lft-identity_binary64_1425
7×times-frac_binary64_1431 associate-*r*_binary64_1367
5×pow1_binary64_1483
4×associate-/r*_binary64_1371
3×associate-*l*_binary64_1368 div-inv_binary64_1422 add-log-exp_binary64_1461
2×frac-2neg_binary64_1436 clear-num_binary64_1424 associate-*r/_binary64_1369 associate-/l*_binary64_1372
1×unswap-sqr_binary64_1393 associate-/l/_binary64_1374 *-commutative_binary64_1358 pow-prod-down_binary64_1493
Counts
3 → 78
Calls

3 calls:

10.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
5.0ms
(/.f64 (*.f64 a c) b)

series122.0ms (2.5%)

Counts
3 → 9
Calls

3 calls:

50.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
38.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
34.0ms
(/.f64 (*.f64 a c) b)

simplify63.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05045877

prune106.0ms (2.2%)

Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New731487
Fresh01717
Picked101
Done011
Total7432106

Merged error: 8.6b

Counts
106 → 32
Compiler

Compiled 1802 to 1082 computations (40% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite77.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
92×add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
76×add-sqr-sqrt_binary64_1446
67×times-frac_binary64_1431
46×add-cube-cbrt_binary64_1457 *-un-lft-identity_binary64_1425
37×prod-exp_binary64_1471 cbrt-unprod_binary64_1455
36×sqrt-prod_binary64_1440
29×div-exp_binary64_1473 cbrt-undiv_binary64_1456
25×associate-*l*_binary64_1368
23×associate-*r*_binary64_1367
11×pow1_binary64_1483
9×unswap-sqr_binary64_1393 associate-*r/_binary64_1369
7×associate-/r*_binary64_1371
4×div-inv_binary64_1422 associate-/l*_binary64_1372 add-log-exp_binary64_1461 pow-prod-down_binary64_1493
3×associate-/l/_binary64_1374 associate-*l/_binary64_1370 frac-times_binary64_1435
2×frac-2neg_binary64_1436 clear-num_binary64_1424 *-commutative_binary64_1358
Counts
4 → 179
Calls

4 calls:

19.0ms
(*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))
16.0ms
(*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b))))
16.0ms
(/.f64 (*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))) (*.f64 3 a))
4.0ms
(/.f64 a (sqrt.f64 b))

series352.0ms (7.3%)

Counts
4 → 12
Calls

4 calls:

107.0ms
(*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b))))
98.0ms
(*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))
86.0ms
(/.f64 (*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))) (*.f64 3 a))
61.0ms
(/.f64 a (sqrt.f64 b))

simplify109.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049512894
149512894

prune171.0ms (3.6%)

Pruning

41 alts after pruning (39 fresh and 2 done)

PrunedKeptTotal
New17615191
Fresh62430
Picked011
Done011
Total18241223

Merged error: 8.6b

Counts
223 → 41
Compiler

Compiled 3529 to 1397 computations (60.4% saved)

regimes482.0ms (10%)

Compiler

Compiled 3996 to 2772 computations (30.6% saved)

bsearch8.0ms (0.2%)

Steps
ItersRangePoint
1
217.14744011465135
229.8453301529311
226.67085764336116
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08358
18358

end0.0ms (0%)

sample1.8s (37.5%)

Algorithm
1×intervals
Results
414.0ms7672×body128valid
282.0ms8938×pre128true
49.0ms938×body128nan
34.0ms328×body256valid
Compiler

Compiled 1065 to 738 computations (30.7% saved)

Profiling

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