Details

Time bar (total: 4.5s)

analyze268.0ms (6%)

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)

sample46.0ms (1%)

Algorithm
1×intervals
Results
13.0ms125×body256valid
9.0ms284×pre128true
8.0ms53×body512valid
4.0ms78×body128valid
1.0ms28×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify375.0ms (8.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (282.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 53.3b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.3b
(*.f64 (*.f64 3 a) c)
24.2b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite35.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_4533
14×add-cbrt-cube_binary64_4547 add-exp-log_binary64_4549 *-un-lft-identity_binary64_4511
9×pow1_binary64_4572
8×add-log-exp_binary64_4550 add-cube-cbrt_binary64_4546
6×associate-/l*_binary64_4456 difference-of-squares_binary64_4480 times-frac_binary64_4517
4×prod-exp_binary64_4560 cbrt-unprod_binary64_4544 cancel-sign-sub-inv_binary64_4477
3×distribute-lft-out--_binary64_4463 flip--_binary64_4486 flip3--_binary64_4515 associate-*r*_binary64_4451 pow-prod-down_binary64_4582 sqrt-prod_binary64_4527
2×associate-/l/_binary64_4458 div-exp_binary64_4562 diff-log_binary64_4603 sub-neg_binary64_4504 cbrt-undiv_binary64_4545
1×associate-*l*_binary64_4452 frac-2neg_binary64_4522 *-commutative_binary64_4442 associate-/r*_binary64_4455 div-sub_binary64_4516 clear-num_binary64_4510 div-inv_binary64_4508
Counts
4 → 77
Calls

4 calls:

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

series227.0ms (5.1%)

Counts
4 → 12
Calls

4 calls:

107.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
69.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
35.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
15.0ms
(*.f64 (*.f64 3 a) c)

simplify64.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051801823

prune159.0ms (3.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New791089
Fresh000
Picked101
Done000
Total801090

Merged error: 2.8b

Counts
90 → 10
Compiler

Compiled 2235 to 1349 computations (39.6% 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

prune12.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New000
Fresh099
Picked011
Done000
Total01010

Merged error: 2.8b

Counts
10 → 10
Compiler

Compiled 254 to 182 computations (28.3% saved)

localize10.0ms (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))
0.3b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite26.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
49×add-cbrt-cube_binary64_4547 add-exp-log_binary64_4549
17×prod-exp_binary64_4560 cbrt-unprod_binary64_4544
16×div-exp_binary64_4562 cbrt-undiv_binary64_4545
10×add-sqr-sqrt_binary64_4533
8×*-un-lft-identity_binary64_4511 add-cube-cbrt_binary64_4546
7×associate-*r*_binary64_4451 times-frac_binary64_4517
5×pow1_binary64_4572
4×associate-/r*_binary64_4455
3×add-log-exp_binary64_4550 associate-*l*_binary64_4452 div-inv_binary64_4508
2×associate-/l*_binary64_4456 associate-*r/_binary64_4453 frac-2neg_binary64_4522 clear-num_binary64_4510
1×associate-/l/_binary64_4458 unswap-sqr_binary64_4479 pow-prod-down_binary64_4582 *-commutative_binary64_4442
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)

series62.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

24.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
19.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
18.0ms
(/.f64 (*.f64 a c) b)

simplify50.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04962874
14962874

prune86.0ms (1.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New78987
Fresh088
Picked101
Done011
Total791897

Merged error: 2.8b

Counts
97 → 18
Compiler

Compiled 1470 to 837 computations (43.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite50.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
37×add-cbrt-cube_binary64_4547 add-exp-log_binary64_4549
20×associate-*r*_binary64_4451
17×add-sqr-sqrt_binary64_4533
15×sqrt-prod_binary64_4527
14×prod-exp_binary64_4560 cbrt-unprod_binary64_4544
13×*-un-lft-identity_binary64_4511 add-cube-cbrt_binary64_4546
11×pow1_binary64_4572
10×times-frac_binary64_4517
9×sqrt-div_binary64_4528
8×div-exp_binary64_4562 cbrt-undiv_binary64_4545
7×associate-*r/_binary64_4453
4×add-log-exp_binary64_4550 associate-*l*_binary64_4452 pow-prod-down_binary64_4582 associate-/r*_binary64_4455 div-inv_binary64_4508
3×associate-/l/_binary64_4458
2×associate-/l*_binary64_4456 unswap-sqr_binary64_4479 frac-2neg_binary64_4522 *-commutative_binary64_4442 associate-*l/_binary64_4454 frac-times_binary64_4521 clear-num_binary64_4510
Counts
4 → 104
Calls

4 calls:

13.0ms
(/.f64 (*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b))) (*.f64 3 a))
12.0ms
(*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b)))
8.0ms
(*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b)))
4.0ms
(/.f64 (*.f64 a c) b)

series199.0ms (4.5%)

Counts
4 → 12
Calls

4 calls:

65.0ms
(*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b)))
65.0ms
(*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b)))
51.0ms
(/.f64 (*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b))) (*.f64 3 a))
18.0ms
(/.f64 (*.f64 a c) b)

simplify86.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049471523
149471523

prune92.0ms (2.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1124116
Fresh01616
Picked101
Done011
Total11321134

Merged error: 2.7b

Counts
134 → 21
Compiler

Compiled 2231 to 880 computations (60.6% saved)

regimes410.0ms (9.2%)

Compiler

Compiled 4936 to 3696 computations (25.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample2.2s (48.5%)

Algorithm
1×intervals
Results
393.0ms3783×body256valid
279.0ms8820×pre128true
217.0ms1434×body512valid
154.0ms2783×body128valid
43.0ms820×body128nan
Compiler

Compiled 1013 to 761 computations (24.9% saved)

Profiling

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