Details

Time bar (total: 5.4s)

analyze274.0ms (5.1%)

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)

sample43.0ms (0.8%)

Algorithm
1×intervals
Results
11.0ms289×pre128true
11.0ms103×body256valid
8.0ms153×body128valid
2.0ms33×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify365.0ms (6.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (276.0ms)

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: 46.7b

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))
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.3b
(*.f64 (*.f64 3 a) c)
40.5b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite41.0ms (0.8%)

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:

11.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
9.0ms
(*.f64 (*.f64 3 a) c)
9.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series224.0ms (4.2%)

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))
64.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
33.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
14.0ms
(*.f64 (*.f64 3 a) c)

simplify59.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
051801823

prune133.0ms (2.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New741589
Fresh000
Picked101
Done000
Total751590

Merged error: 4.7b

Counts
90 → 15
Compiler

Compiled 2459 to 1499 computations (39% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune22.0ms (0.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01414
Picked011
Done000
Total01515

Merged error: 4.7b

Counts
15 → 15
Compiler

Compiled 478 to 332 computations (30.5% saved)

localize8.0ms (0.1%)

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))

rewrite28.0ms (0.5%)

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:

11.0ms
(/.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 (1.2%)

Counts
3 → 9
Calls

3 calls:

23.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
20.0ms
(/.f64 (*.f64 a c) b)
19.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify54.0ms (1%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04962874
14962874

prune101.0ms (1.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New751287
Fresh11213
Picked101
Done101
Total7824102

Merged error: 4.6b

Counts
102 → 24
Compiler

Compiled 1687 to 992 computations (41.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite52.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
471×times-frac_binary64_4858
229×add-cube-cbrt_binary64_4887 *-un-lft-identity_binary64_4852 add-sqr-sqrt_binary64_4874
57×associate-/r*_binary64_4796
22×div-inv_binary64_4849
16×add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888
9×cbrt-undiv_binary64_4886 div-exp_binary64_4903
6×associate-/l*_binary64_4797 associate-/r/_binary64_4798
2×clear-num_binary64_4851 add-log-exp_binary64_4891 pow1_binary64_4913 frac-2neg_binary64_4863
Counts
2 → 266
Calls

2 calls:

12.0ms
(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
6.0ms
(/.f64 3 (/.f64 c b))

series27.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

14.0ms
(/.f64 3 (/.f64 c b))
13.0ms
(/.f64 -3/2 (/.f64 3 (/.f64 c b)))

simplify127.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
050236058

prune283.0ms (5.3%)

Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New26111272
Fresh41923
Picked011
Done000
Total26531296

Merged error: 4.6b

Counts
296 → 31
Compiler

Compiled 4635 to 2658 computations (42.7% saved)

regimes768.0ms (14.3%)

Compiler

Compiled 8441 to 6666 computations (21% saved)

bsearch4.0ms (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%)

sample2.7s (49.5%)

Algorithm
1×intervals
Results
296.0ms2861×body256valid
283.0ms5139×body128valid
278.0ms8886×pre128true
44.0ms886×body128nan
Compiler

Compiled 1763 to 1383 computations (21.6% saved)

Profiling

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