Details

Time bar (total: 5.3s)

analyze925.0ms (17.5%)

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)

sample33.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms50×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06810
16810

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
13.7b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

13.3b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite29.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
13×add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865
prod-exp_binary64_3878 div-exp_binary64_3880 cbrt-undiv_binary64_3863 cbrt-unprod_binary64_3862
pow1_binary64_3890 add-log-exp_binary64_3868 add-cube-cbrt_binary64_3864 add-sqr-sqrt_binary64_3851 frac-2neg_binary64_3840 times-frac_binary64_3835 *-un-lft-identity_binary64_3829 clear-num_binary64_3828 div-inv_binary64_3826 associate-/l*_binary64_3774 associate-/r*_binary64_3773
Counts
1 → 21
Calls

1 calls:

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

Compiled 291 to 77 computations (73.5% saved)

series194.0ms (3.7%)

Error
13.7b
Counts
1 → 12
Calls

1 calls:

189.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify75.0ms (1.4%)

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05076370

prune28.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Compiled 370 to 100 computations (73% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

9.3b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

rewrite52.0ms (1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
27×add-sqr-sqrt_binary64_3851
22×times-frac_binary64_3835
15×add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
13×add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865 associate-*l*_binary64_3770 associate-*r*_binary64_3769
div-exp_binary64_3880 prod-exp_binary64_3878 cbrt-unprod_binary64_3862 cbrt-undiv_binary64_3863 unswap-sqr_binary64_3797
pow1_binary64_3890
div-inv_binary64_3826
pow-prod-down_binary64_3900 add-log-exp_binary64_3868 frac-times_binary64_3839 associate-*l/_binary64_3772 associate-*r/_binary64_3771 *-commutative_binary64_3760
Counts
1 → 50
Calls

1 calls:

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

Compiled 744 to 196 computations (73.7% saved)

series184.0ms (3.5%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

179.0ms
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify94.0ms (1.8%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
04985803
14985803

prune46.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New56662
Fresh235
Picked101
Done011
Total591069
Error
0.0b
Counts
69 → 10
Compiler

Compiled 826 to 232 computations (71.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.7b
(*.f64 a1 (/.f64 a2 b2))
7.3b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)

rewrite54.0ms (1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
17×add-sqr-sqrt_binary64_3851
16×add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865
13×times-frac_binary64_3835 associate-*r*_binary64_3769
12×add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
div-exp_binary64_3880 cbrt-undiv_binary64_3863
pow1_binary64_3890 prod-exp_binary64_3878 cbrt-unprod_binary64_3862
associate-/r*_binary64_3773 associate-*l*_binary64_3770
add-log-exp_binary64_3868 div-inv_binary64_3826 associate-*r/_binary64_3771 unswap-sqr_binary64_3797
frac-2neg_binary64_3840 clear-num_binary64_3828 associate-/l/_binary64_3776 associate-/l*_binary64_3774 pow-prod-down_binary64_3900 *-commutative_binary64_3760
Counts
2 → 56
Calls

2 calls:

7.0ms
(*.f64 a1 (/.f64 a2 b2))
6.0ms
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
Compiler

Compiled 754 to 218 computations (71.1% saved)

series293.0ms (5.5%)

Error
0.0b
Counts
2 → 21
Calls

2 calls:

189.0ms
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
95.0ms
(*.f64 a1 (/.f64 a2 b2))
Compiler

Compiled 441 to 303 computations (31.3% saved)

simplify93.0ms (1.8%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04958800
14958800

prune46.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New75277
Fresh358
Picked011
Done101
Total79887
Error
0.0b
Counts
87 → 8
Compiler

Compiled 852 to 229 computations (73.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.3b
(*.f64 a2 (/.f64 a1 b1))
6.2b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

rewrite52.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
17×add-sqr-sqrt_binary64_3851
16×add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865
13×times-frac_binary64_3835 associate-*r*_binary64_3769
12×add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
div-exp_binary64_3880 cbrt-undiv_binary64_3863
pow1_binary64_3890 prod-exp_binary64_3878 cbrt-unprod_binary64_3862
associate-/r*_binary64_3773 associate-*l*_binary64_3770
add-log-exp_binary64_3868 div-inv_binary64_3826 associate-*r/_binary64_3771 unswap-sqr_binary64_3797
frac-2neg_binary64_3840 clear-num_binary64_3828 associate-/l/_binary64_3776 associate-/l*_binary64_3774 pow-prod-down_binary64_3900 *-commutative_binary64_3760
Counts
2 → 56
Calls

2 calls:

7.0ms
(*.f64 a2 (/.f64 a1 b1))
6.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
Compiler

Compiled 754 to 218 computations (71.1% saved)

series299.0ms (5.7%)

Error
0b
Counts
2 → 21
Calls

2 calls:

190.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
101.0ms
(*.f64 a2 (/.f64 a1 b1))
Compiler

Compiled 441 to 303 computations (31.3% saved)

simplify83.0ms (1.6%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04965800
14965800

prune43.0ms (0.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New75277
Fresh156
Picked011
Done011
Total76985
Error
0b
Counts
85 → 9
Compiler

Compiled 788 to 173 computations (78% saved)

regimes896.0ms (17%)

Accuracy

Total 2.6b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 3881 to 3097 computations (20.2% saved)

bsearch2.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify54.0ms (1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
038122
138122
Remove

(sort b1 b2)

Compiler

Compiled 492 to 174 computations (64.6% saved)

end0.0ms (0%)

sample1.7s (31.6%)

Algorithm
intervals
Results
224.0ms8000×body128valid
57.0ms1855×body128invalid
Compiler

Compiled 585 to 438 computations (25.1% saved)

Profiling

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