Details

Time bar (total: 6.4s)

analyze548.0ms (8.5%)

Algorithm
1×search
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
Compiler

Compiled 8 to 8 computations (0% saved)

sample22.0ms (0.3%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
1.0ms59×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify106.0ms (1.7%)

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
12.9b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

12.5b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite30.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
13×add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865
4×prod-exp_binary64_3878 div-exp_binary64_3880 cbrt-undiv_binary64_3863 cbrt-unprod_binary64_3862
1×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)

series193.0ms (3%)

Error
12.9b
Counts
1 → 12
Calls

1 calls:

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

Compiled 252 to 175 computations (30.6% saved)

simplify74.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05076370

prune27.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New27633
Fresh000
Picked101
Done000
Total28634
Error
0.0b
Counts
34 → 6
Compiler

Compiled 354 to 100 computations (71.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.5b
(/.f64 b1 (/.f64 a2 b2))
5.2b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite284.0ms (4.4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
471×times-frac_binary64_3835
229×add-cube-cbrt_binary64_3864 add-sqr-sqrt_binary64_3851 *-un-lft-identity_binary64_3829
57×associate-/r*_binary64_3773
22×div-inv_binary64_3826
16×add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865
9×div-exp_binary64_3880 cbrt-undiv_binary64_3863
6×associate-/r/_binary64_3775 associate-/l*_binary64_3774
2×pow1_binary64_3890 add-log-exp_binary64_3868 frac-2neg_binary64_3840 clear-num_binary64_3828
Counts
2 → 266
Calls

2 calls:

13.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
9.0ms
(/.f64 b1 (/.f64 a2 b2))
Compiler

Compiled 5203 to 1261 computations (75.8% saved)

series286.0ms (4.5%)

Error
0.0b
Counts
2 → 21
Calls

2 calls:

180.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
97.0ms
(/.f64 b1 (/.f64 a2 b2))
Compiler

Compiled 441 to 303 computations (31.3% saved)

simplify135.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
287 → 287
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049776307
149776307

prune206.0ms (3.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2834287
Fresh325
Picked011
Done000
Total2867293
Error
0b
Counts
293 → 7
Compiler

Compiled 4873 to 810 computations (83.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

9.8b
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

rewrite254.0ms (3.9%)

Algorithm
1×rewrite-expression-head
Error
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
4×div-exp_binary64_3880 prod-exp_binary64_3878 cbrt-unprod_binary64_3862 cbrt-undiv_binary64_3863 unswap-sqr_binary64_3797
3×pow1_binary64_3890
2×div-inv_binary64_3826
1×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:

218.0ms
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
Compiler

Compiled 744 to 196 computations (73.7% saved)

series186.0ms (2.9%)

Error
0b
Counts
1 → 12
Calls

1 calls:

181.0ms
(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))
Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify93.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
04974803
14974803

prune36.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh055
Picked011
Done011
Total62769
Error
0b
Counts
69 → 7
Compiler

Compiled 783 to 193 computations (75.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.4b
(*.f64 a1 (/.f64 a2 b2))
6.9b
(*.f64 (/.f64 1 b1) (*.f64 a1 (/.f64 a2 b2)))

rewrite77.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
46×add-exp-log_binary64_3867
28×add-cbrt-cube_binary64_3865
22×prod-exp_binary64_3878 add-sqr-sqrt_binary64_3851
19×times-frac_binary64_3835
17×add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
16×associate-*l*_binary64_3770
14×associate-*r*_binary64_3769
12×cbrt-unprod_binary64_3862
11×div-exp_binary64_3880
9×pow1_binary64_3890
6×cbrt-undiv_binary64_3863
4×pow-prod-down_binary64_3900 associate-*r/_binary64_3771
3×1-exp_binary64_3873 rec-exp_binary64_3879
2×add-log-exp_binary64_3868 div-inv_binary64_3826 *-commutative_binary64_3760 unswap-sqr_binary64_3797
1×frac-times_binary64_3839 associate-*l/_binary64_3772
Counts
2 → 77
Calls

2 calls:

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

Compiled 1247 to 517 computations (58.5% saved)

series288.0ms (4.5%)

Error
0b
Counts
2 → 21
Calls

2 calls:

185.0ms
(*.f64 (/.f64 1 b1) (*.f64 a1 (/.f64 a2 b2)))
94.0ms
(*.f64 a1 (/.f64 a2 b2))
Compiler

Compiled 495 to 365 computations (26.3% saved)

simplify76.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049631044
149631044

prune52.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh044
Picked011
Done022
Total987105
Error
0b
Counts
105 → 7
Compiler

Compiled 1132 to 352 computations (68.9% saved)

regimes1.4s (21.8%)

Accuracy

Total 4.1b remaining (100%)

Threshold costs 0b (0%)

Compiler

Compiled 11835 to 8620 computations (27.2% saved)

bsearch6.0ms (0.1%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
050117
150117

end0.0ms (0%)

sample2.0s (31.4%)

Algorithm
1×intervals
Results
218.0ms8000×body128valid
55.0ms1850×body128invalid
Compiler

Compiled 1710 to 1231 computations (28% saved)

Profiling

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