Details

Time bar (total: 9.6s)

analyze1.0s (10.4%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022870
122870
044
144
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14
Symmetry

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 8 to 8 computations (0% saved)

sample40.0ms (0.4%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
2.0ms61×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06810
16810

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
14.0b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

13.7b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite41.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
13×add-exp-log_binary64_5913 add-cbrt-cube_binary64_5911
4×prod-exp_binary64_5924 div-exp_binary64_5926 cbrt-undiv_binary64_5909 cbrt-unprod_binary64_5908
1×pow1_binary64_5936 add-log-exp_binary64_5914 add-cube-cbrt_binary64_5910 add-sqr-sqrt_binary64_5897 frac-2neg_binary64_5886 times-frac_binary64_5881 *-un-lft-identity_binary64_5875 clear-num_binary64_5874 div-inv_binary64_5872 associate-/l*_binary64_5820 associate-/r*_binary64_5819
Counts
1 → 21
Calls

1 calls:

5.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 291 to 77 computations (73.5% saved)

series294.0ms (3.1%)

Error
14.0b
Counts
1 → 12
Calls

1 calls:

293.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 175 to 175 computations (0% saved)

simplify73.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
05076370

prune24.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New27633
Fresh000
Picked011
Done000
Total27734
Error
0.1b
Counts
34 → 7
Compiler

Compiled 201 to 88 computations (56.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

12.0b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

rewrite83.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
27×add-sqr-sqrt_binary64_5897
22×times-frac_binary64_5881
15×add-cube-cbrt_binary64_5910 *-un-lft-identity_binary64_5875
13×add-exp-log_binary64_5913 add-cbrt-cube_binary64_5911 associate-*l*_binary64_5816 associate-*r*_binary64_5815
4×div-exp_binary64_5926 prod-exp_binary64_5924 cbrt-unprod_binary64_5908 cbrt-undiv_binary64_5909 unswap-sqr_binary64_5843
3×pow1_binary64_5936
2×div-inv_binary64_5872
1×pow-prod-down_binary64_5946 add-log-exp_binary64_5914 frac-times_binary64_5885 associate-*l/_binary64_5818 associate-*r/_binary64_5817 *-commutative_binary64_5806
Counts
1 → 50
Calls

1 calls:

13.0ms
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
Compiler

Compiled 726 to 192 computations (73.6% saved)

series298.0ms (3.1%)

Error
0.1b
Counts
1 → 12
Calls

1 calls:

296.0ms
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
Compiler

Compiled 175 to 175 computations (0% saved)

simplify87.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04985803
14985803

prune64.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New55762
Fresh145
Picked101
Done011
Total571269
Error
0.0b
Counts
69 → 12
Compiler

Compiled 684 to 233 computations (65.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.2b
(*.f64 a1 (/.f64 a2 b2))
6.0b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)

rewrite97.0ms (1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
17×add-sqr-sqrt_binary64_5897
16×add-exp-log_binary64_5913 add-cbrt-cube_binary64_5911
13×times-frac_binary64_5881 associate-*r*_binary64_5815
12×add-cube-cbrt_binary64_5910 *-un-lft-identity_binary64_5875
5×div-exp_binary64_5926 cbrt-undiv_binary64_5909
4×pow1_binary64_5936 prod-exp_binary64_5924 cbrt-unprod_binary64_5908
3×associate-/r*_binary64_5819 associate-*l*_binary64_5816
2×add-log-exp_binary64_5914 div-inv_binary64_5872 associate-*r/_binary64_5817 unswap-sqr_binary64_5843
1×frac-2neg_binary64_5886 clear-num_binary64_5874 associate-/l/_binary64_5822 associate-/l*_binary64_5820 pow-prod-down_binary64_5946 *-commutative_binary64_5806
Counts
2 → 56
Calls

2 calls:

8.0ms
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
7.0ms
(*.f64 a1 (/.f64 a2 b2))
Compiler

Compiled 736 to 212 computations (71.2% saved)

series446.0ms (4.6%)

Error
0.0b
Counts
2 → 21
Calls

2 calls:

295.0ms
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
147.0ms
(*.f64 a1 (/.f64 a2 b2))
Compiler

Compiled 308 to 303 computations (1.6% saved)

simplify98.0ms (1%)

Algorithm
1×egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
04958800
14958800

prune74.0ms (0.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New75277
Fresh2810
Picked011
Done011
Total771289
Error
0.0b
Counts
89 → 12
Compiler

Compiled 635 to 241 computations (62% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.2b
(*.f64 a1 (/.f64 a2 b2))
6.1b
(*.f64 (*.f64 a1 (/.f64 a2 b2)) (/.f64 1 b1))

rewrite133.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
46×add-exp-log_binary64_5913
28×add-cbrt-cube_binary64_5911
26×associate-*r*_binary64_5815
22×prod-exp_binary64_5924 add-sqr-sqrt_binary64_5897
19×times-frac_binary64_5881
17×add-cube-cbrt_binary64_5910 *-un-lft-identity_binary64_5875
12×cbrt-unprod_binary64_5908
11×div-exp_binary64_5926
9×pow1_binary64_5936
6×cbrt-undiv_binary64_5909
4×pow-prod-down_binary64_5946 associate-*r/_binary64_5817 associate-*l*_binary64_5816
3×1-exp_binary64_5919 rec-exp_binary64_5925
2×add-log-exp_binary64_5914 div-inv_binary64_5872 *-commutative_binary64_5806 unswap-sqr_binary64_5843
1×frac-times_binary64_5885 un-div-inv_binary64_5873 associate-*l/_binary64_5818
Counts
2 → 78
Calls

2 calls:

10.0ms
(*.f64 (*.f64 a1 (/.f64 a2 b2)) (/.f64 1 b1))
7.0ms
(*.f64 a1 (/.f64 a2 b2))
Compiler

Compiled 1199 to 493 computations (58.9% saved)

series453.0ms (4.7%)

Error
0.0b
Counts
2 → 21
Calls

2 calls:

299.0ms
(*.f64 (*.f64 a1 (/.f64 a2 b2)) (/.f64 1 b1))
150.0ms
(*.f64 a1 (/.f64 a2 b2))
Compiler

Compiled 346 to 341 computations (1.4% saved)

simplify83.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
052281070

prune80.0ms (0.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New98199
Fresh099
Picked011
Done022
Total9813111
Error
0b
Counts
111 → 13
Compiler

Compiled 709 to 274 computations (61.4% saved)

regimes4.6s (47.4%)

Accuracy

Total 1.5b remaining (99.1%)

Threshold costs 0b (0%)

Compiler

Compiled 18756 to 15850 computations (15.5% saved)

bsearch6.0ms (0.1%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
050116
150116

end41.0ms (0.4%)

Compiler

Compiled 380 to 155 computations (59.2% saved)

sample1.5s (15.6%)

Algorithm
1×intervals
Results
232.0ms8000×body128valid
57.0ms1827×body128invalid
Compiler

Compiled 234 to 185 computations (20.9% saved)

Profiling

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