Details

Time bar (total: 4.2s)

analyze268.0ms (6.4%)

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)

sample44.0ms (1.1%)

Algorithm
1×intervals
Results
12.0ms120×body256valid
9.0ms291×pre128true
8.0ms56×body512valid
4.0ms80×body128valid
2.0ms35×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify376.0ms (8.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (280.0ms)

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: 52.5b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (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))
0.2b
(*.f64 (*.f64 3 a) c)
22.6b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite37.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_4874
14×add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888 *-un-lft-identity_binary64_4852
9×pow1_binary64_4913
8×add-cube-cbrt_binary64_4887 add-log-exp_binary64_4891
6×difference-of-squares_binary64_4821 times-frac_binary64_4858 associate-/l*_binary64_4797
4×cbrt-unprod_binary64_4885 cancel-sign-sub-inv_binary64_4818 prod-exp_binary64_4901
3×distribute-lft-out--_binary64_4804 flip3--_binary64_4856 associate-*r*_binary64_4792 flip--_binary64_4827 sqrt-prod_binary64_4868 pow-prod-down_binary64_4923
2×associate-/l/_binary64_4799 sub-neg_binary64_4845 diff-log_binary64_4944 cbrt-undiv_binary64_4886 div-exp_binary64_4903
1×associate-*l*_binary64_4793 div-sub_binary64_4857 div-inv_binary64_4849 clear-num_binary64_4851 associate-/r*_binary64_4796 frac-2neg_binary64_4863 *-commutative_binary64_4783
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 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
6.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series230.0ms (5.4%)

Counts
4 → 12
Calls

4 calls:

113.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
68.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
33.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
15.0ms
(*.f64 (*.f64 3 a) c)

simplify58.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
051801823

prune137.0ms (3.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New781189
Fresh000
Picked101
Done000
Total791190

Merged error: 2.7b

Counts
90 → 11
Compiler

Compiled 2314 to 1404 computations (39.3% 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 (0.2%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune17.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01010
Picked011
Done000
Total01111

Merged error: 2.7b

Counts
11 → 11
Compiler

Compiled 333 to 237 computations (28.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite25.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888
17×cbrt-unprod_binary64_4885 prod-exp_binary64_4901
16×cbrt-undiv_binary64_4886 div-exp_binary64_4903
10×add-sqr-sqrt_binary64_4874
8×add-cube-cbrt_binary64_4887 *-un-lft-identity_binary64_4852
7×times-frac_binary64_4858 associate-*r*_binary64_4792
5×pow1_binary64_4913
4×associate-/r*_binary64_4796
3×associate-*l*_binary64_4793 div-inv_binary64_4849 add-log-exp_binary64_4891
2×associate-*r/_binary64_4794 associate-/l*_binary64_4797 clear-num_binary64_4851 frac-2neg_binary64_4863
1×unswap-sqr_binary64_4820 associate-/l/_binary64_4799 pow-prod-down_binary64_4923 *-commutative_binary64_4783
Counts
3 → 78
Calls

3 calls:

8.0ms
(/.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)

series68.0ms (1.6%)

Counts
3 → 9
Calls

3 calls:

25.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
22.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
21.0ms
(/.f64 (*.f64 a c) b)

simplify52.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04962874
14962874

prune87.0ms (2.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New771087
Fresh099
Picked101
Done011
Total782098

Merged error: 2.7b

Counts
98 → 20
Compiler

Compiled 1532 to 894 computations (41.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.6b
(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
0.8b
(pow.f64 (/.f64 c b) 3)

rewrite15.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
18×times-frac_binary64_4858
17×add-cube-cbrt_binary64_4887 *-un-lft-identity_binary64_4852 add-sqr-sqrt_binary64_4874
13×cube-prod_binary64_4880 unpow-prod-down_binary64_4931
5×add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888
3×pow1_binary64_4913 pow-unpow_binary64_4929
2×rem-cube-cbrt_binary64_4875 div-inv_binary64_4849 add-log-exp_binary64_4891 cube-div_binary64_4881 pow-exp_binary64_4920
1×pow-pow_binary64_4924 associate-*r/_binary64_4794 cube-mult_binary64_4882 pow1/3_binary64_4934 cbrt-div_binary64_4884 pow-to-exp_binary64_4921 cbrt-prod_binary64_4883 unpow3_binary64_4918 cbrt-undiv_binary64_4886 sqr-pow_binary64_4824 div-exp_binary64_4903
Counts
2 → 56
Calls

2 calls:

6.0ms
(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
5.0ms
(pow.f64 (/.f64 c b) 3)

series56.0ms (1.3%)

Counts
2 → 6
Calls

2 calls:

32.0ms
(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
23.0ms
(pow.f64 (/.f64 c b) 3)

simplify34.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05091693

prune51.0ms (1.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New58462
Fresh51318
Picked101
Done011
Total641882

Merged error: 2.7b

Counts
82 → 18
Compiler

Compiled 749 to 441 computations (41.1% saved)

regimes442.0ms (10.5%)

Compiler

Compiled 5091 to 3886 computations (23.7% saved)

bsearch5.0ms (0.1%)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08781
18781

end0.0ms (0%)

sample2.2s (51.6%)

Algorithm
1×intervals
Results
379.0ms3764×body256valid
273.0ms8786×pre128true
223.0ms1513×body512valid
136.0ms2723×body128valid
37.0ms786×body128nan
Compiler

Compiled 1093 to 827 computations (24.3% saved)

Profiling

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