Details

Time bar (total: 6.6s)

analyze1.3s (19%)

Algorithm
search
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)

sample36.0ms (0.5%)

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

Compiled 15 to 19 computations (-26.7% saved)

simplify14.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
06810
16810

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
6.9b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.7b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite28.0ms (0.4%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
13×add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842
prod-exp_binary64_2855 div-exp_binary64_2857 cbrt-undiv_binary64_2840 cbrt-unprod_binary64_2839
pow1_binary64_2867 add-log-exp_binary64_2845 add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828 frac-2neg_binary64_2817 times-frac_binary64_2812 *-un-lft-identity_binary64_2806 clear-num_binary64_2805 div-inv_binary64_2803 associate-/l*_binary64_2751 associate-/r*_binary64_2750
Counts
1 → 21
Calls

1 calls:

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

Compiled 291 to 77 computations (73.5% saved)

series190.0ms (2.9%)

Error
6.9b
Counts
1 → 12
Calls

1 calls:

185.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify84.0ms (1.3%)

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
05076370

prune26.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New27633
Fresh000
Picked011
Done000
Total27734
Error
0.0b
Counts
34 → 7
Compiler

Compiled 346 to 100 computations (71.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
6.5b
(/.f64 (*.f64 b1 b2) (*.f64 a1 a2))

rewrite82.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
58×add-exp-log_binary64_2844
32×add-cbrt-cube_binary64_2842
26×div-exp_binary64_2857
20×times-frac_binary64_2812
16×prod-exp_binary64_2855
13×cbrt-undiv_binary64_2840
12×add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806
cbrt-unprod_binary64_2839
div-inv_binary64_2803 associate-/r*_binary64_2750
1-exp_binary64_2850 rec-exp_binary64_2856
associate-/l*_binary64_2751
pow1_binary64_2867
add-log-exp_binary64_2845 frac-2neg_binary64_2817 clear-num_binary64_2805
inv-pow_binary64_2891 pow-flip_binary64_2880 associate-/r/_binary64_2752
Counts
2 → 77
Calls

2 calls:

8.0ms
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
6.0ms
(/.f64 (*.f64 b1 b2) (*.f64 a1 a2))
Compiler

Compiled 1277 to 418 computations (67.3% saved)

series388.0ms (5.9%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

190.0ms
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
188.0ms
(/.f64 (*.f64 b1 b2) (*.f64 a1 a2))
Compiler

Compiled 576 to 416 computations (27.8% saved)

simplify73.0ms (1.1%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
050771335

prune64.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New956101
Fresh325
Picked101
Done011
Total999108
Error
0.0b
Counts
108 → 9
Compiler

Compiled 1235 to 354 computations (71.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.4b
(/.f64 1 (*.f64 a1 a2))
0.4b
(/.f64 1 (*.f64 (*.f64 b1 b2) (/.f64 1 (*.f64 a1 a2))))
6.4b
(*.f64 (*.f64 b1 b2) (/.f64 1 (*.f64 a1 a2)))

rewrite159.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
212×add-exp-log_binary64_2844
111×prod-exp_binary64_2855
66×div-exp_binary64_2857
58×add-cbrt-cube_binary64_2842
33×1-exp_binary64_2850 rec-exp_binary64_2856
23×cbrt-unprod_binary64_2839
17×pow1_binary64_2867 cbrt-undiv_binary64_2840
add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806 times-frac_binary64_2812
pow-prod-down_binary64_2877 associate-*r*_binary64_2746
associate-/l*_binary64_2751
pow-flip_binary64_2880
add-log-exp_binary64_2845 div-inv_binary64_2803
un-div-inv_binary64_2804 associate-*r/_binary64_2748 inv-pow_binary64_2891 frac-2neg_binary64_2817 clear-num_binary64_2805 associate-/r/_binary64_2752 associate-/r*_binary64_2750
associate-*l*_binary64_2747 *-commutative_binary64_2737
Counts
3 → 143
Calls

3 calls:

12.0ms
(/.f64 1 (*.f64 (*.f64 b1 b2) (/.f64 1 (*.f64 a1 a2))))
10.0ms
(*.f64 (*.f64 b1 b2) (/.f64 1 (*.f64 a1 a2)))
4.0ms
(/.f64 1 (*.f64 a1 a2))
Compiler

Compiled 2432 to 1121 computations (53.9% saved)

series442.0ms (6.7%)

Error
0.0b
Counts
3 → 30
Calls

3 calls:

196.0ms
(/.f64 1 (*.f64 (*.f64 b1 b2) (/.f64 1 (*.f64 a1 a2))))
184.0ms
(*.f64 (*.f64 b1 b2) (/.f64 1 (*.f64 a1 a2)))
49.0ms
(/.f64 1 (*.f64 a1 a2))
Compiler

Compiled 774 to 578 computations (25.3% saved)

simplify96.0ms (1.4%)

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
050351821

prune98.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1721173
Fresh167
Picked101
Done011
Total1748182
Error
0.0b
Counts
182 → 8
Compiler

Compiled 1942 to 597 computations (69.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b
(/.f64 (/.f64 1 a1) a2)
0.4b
(/.f64 1 (*.f64 (*.f64 b1 b2) (/.f64 (/.f64 1 a1) a2)))
6.4b
(*.f64 (*.f64 b1 b2) (/.f64 (/.f64 1 a1) a2))

rewrite253.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
166×add-exp-log_binary64_2844
144×times-frac_binary64_2812
82×add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806
76×div-exp_binary64_2857
60×prod-exp_binary64_2855
58×add-cbrt-cube_binary64_2842
43×associate-*r*_binary64_2746
22×cbrt-undiv_binary64_2840
20×1-exp_binary64_2850 rec-exp_binary64_2856
18×cbrt-unprod_binary64_2839
16×associate-/l*_binary64_2751
14×pow1_binary64_2867
10×div-inv_binary64_2803
pow-prod-down_binary64_2877
associate-/r*_binary64_2750
add-log-exp_binary64_2845 pow-flip_binary64_2880
associate-*r/_binary64_2748 frac-2neg_binary64_2817 clear-num_binary64_2805
associate-*l*_binary64_2747 *-commutative_binary64_2737 inv-pow_binary64_2891 associate-/r/_binary64_2752 associate-/l/_binary64_2753
Counts
3 → 205
Calls

3 calls:

15.0ms
(/.f64 1 (*.f64 (*.f64 b1 b2) (/.f64 (/.f64 1 a1) a2)))
15.0ms
(*.f64 (*.f64 b1 b2) (/.f64 (/.f64 1 a1) a2))
7.0ms
(/.f64 (/.f64 1 a1) a2)
Compiler

Compiled 4070 to 2218 computations (45.5% saved)

series425.0ms (6.5%)

Error
0.0b
Counts
3 → 30
Calls

3 calls:

190.0ms
(*.f64 (*.f64 b1 b2) (/.f64 (/.f64 1 a1) a2))
176.0ms
(/.f64 1 (*.f64 (*.f64 b1 b2) (/.f64 (/.f64 1 a1) a2)))
46.0ms
(/.f64 (/.f64 1 a1) a2)
Compiler

Compiled 774 to 578 computations (25.3% saved)

simplify103.0ms (1.6%)

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049503167
149503167

prune165.0ms (2.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2341235
Fresh156
Picked011
Done011
Total2358243
Error
0.0b
Counts
243 → 8
Compiler

Compiled 3415 to 1392 computations (59.2% saved)

regimes882.0ms (13.4%)

Accuracy

Total 3.7b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 4083 to 3456 computations (15.4% saved)

bsearch2.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify37.0ms (0.6%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
032110
132110
Compiler

Compiled 300 to 104 computations (65.3% saved)

end0.0ms (0%)

sample1.7s (25.2%)

Algorithm
intervals
Results
233.0ms8000×body128valid
50.0ms1859×body128invalid
Compiler

Compiled 575 to 459 computations (20.2% saved)

Profiling

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