Details

Time bar (total: 7.0s)

analyze1.2s (17.1%)

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)

sample42.0ms (0.6%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
2.0ms84×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

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
8.3b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

8.1b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite33.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
13×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
4×prod-exp_binary64_2514 div-exp_binary64_2516 cbrt-undiv_binary64_2499 cbrt-unprod_binary64_2498
1×pow1_binary64_2526 add-log-exp_binary64_2504 add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487 frac-2neg_binary64_2476 times-frac_binary64_2471 *-un-lft-identity_binary64_2465 clear-num_binary64_2464 div-inv_binary64_2462 associate-/l*_binary64_2410 associate-/r*_binary64_2409
Counts
1 → 21
Calls

1 calls:

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

Compiled 291 to 77 computations (73.5% saved)

series309.0ms (4.4%)

Error
8.3b
Counts
1 → 12
Calls

1 calls:

308.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 175 to 175 computations (0% saved)

simplify71.0ms (1%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05076370

prune14.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New30333
Fresh000
Picked011
Done000
Total30434
Error
0.1b
Counts
34 → 4
Compiler

Compiled 168 to 63 computations (62.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.6b
(/.f64 b1 (/.f64 a2 b2))
4.9b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite438.0ms (6.3%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
471×times-frac_binary64_2471
229×add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487 *-un-lft-identity_binary64_2465
57×associate-/r*_binary64_2409
22×div-inv_binary64_2462
16×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
9×div-exp_binary64_2516 cbrt-undiv_binary64_2499
6×associate-/r/_binary64_2411 associate-/l*_binary64_2410
2×pow1_binary64_2526 add-log-exp_binary64_2504 frac-2neg_binary64_2476 clear-num_binary64_2464
Counts
2 → 266
Calls

2 calls:

12.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
6.0ms
(/.f64 b1 (/.f64 a2 b2))
Compiler

Compiled 5185 to 1256 computations (75.8% saved)

series453.0ms (6.5%)

Error
0.1b
Counts
2 → 21
Calls

2 calls:

302.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
149.0ms
(/.f64 b1 (/.f64 a2 b2))
Compiler

Compiled 308 to 303 computations (1.6% saved)

simplify126.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
287 → 287
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049776307
149776307

prune290.0ms (4.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2834287
Fresh112
Picked011
Done011
Total2847291
Error
0b
Counts
291 → 7
Compiler

Compiled 4356 to 766 computations (82.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.8b
(/.f64 a1 (*.f64 b1 b2))
4.5b
(*.f64 a2 (/.f64 a1 (*.f64 b1 b2)))

rewrite61.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
16×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
9×add-sqr-sqrt_binary64_2487
7×add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465 associate-*r*_binary64_2405
6×times-frac_binary64_2471
5×prod-exp_binary64_2514 cbrt-unprod_binary64_2498
4×pow1_binary64_2526 div-exp_binary64_2516 cbrt-undiv_binary64_2499
3×associate-*l*_binary64_2406 associate-/l*_binary64_2410
2×add-log-exp_binary64_2504 div-inv_binary64_2462
1×pow-prod-down_binary64_2536 unswap-sqr_binary64_2433 associate-*r/_binary64_2407 *-commutative_binary64_2396 frac-2neg_binary64_2476 clear-num_binary64_2464 associate-/r*_binary64_2409
Counts
2 → 48
Calls

2 calls:

7.0ms
(*.f64 a2 (/.f64 a1 (*.f64 b1 b2)))
4.0ms
(/.f64 a1 (*.f64 b1 b2))
Compiler

Compiled 602 to 154 computations (74.4% saved)

series454.0ms (6.5%)

Error
0b
Counts
2 → 21
Calls

2 calls:

297.0ms
(*.f64 a2 (/.f64 a1 (*.f64 b1 b2)))
155.0ms
(/.f64 a1 (*.f64 b1 b2))
Compiler

Compiled 308 to 303 computations (1.6% saved)

simplify72.0ms (1%)

Algorithm
1×egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04967702
14967702

prune39.0ms (0.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh044
Picked011
Done022
Total69776
Error
0b
Counts
76 → 7
Compiler

Compiled 460 to 144 computations (68.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.9b
(/.f64 a1 (*.f64 b1 (/.f64 b2 a2)))
4.9b
(*.f64 b1 (/.f64 b2 a2))

rewrite73.0ms (1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
17×add-sqr-sqrt_binary64_2487
16×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
13×times-frac_binary64_2471 associate-*r*_binary64_2405
12×add-cube-cbrt_binary64_2500 *-un-lft-identity_binary64_2465
5×div-exp_binary64_2516 cbrt-undiv_binary64_2499
4×pow1_binary64_2526 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
3×associate-*l*_binary64_2406 associate-/l*_binary64_2410
2×add-log-exp_binary64_2504 unswap-sqr_binary64_2433 associate-*r/_binary64_2407 div-inv_binary64_2462
1×pow-prod-down_binary64_2536 *-commutative_binary64_2396 frac-2neg_binary64_2476 clear-num_binary64_2464 associate-/r/_binary64_2411 associate-/r*_binary64_2409
Counts
2 → 56
Calls

2 calls:

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

Compiled 727 to 209 computations (71.3% saved)

series434.0ms (6.2%)

Error
0b
Counts
2 → 21
Calls

2 calls:

290.0ms
(/.f64 a1 (*.f64 b1 (/.f64 b2 a2)))
143.0ms
(*.f64 b1 (/.f64 b2 a2))
Compiler

Compiled 308 to 303 computations (1.6% saved)

simplify76.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04956804
14956804

prune45.0ms (0.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New77077
Fresh033
Picked011
Done033
Total77784
Error
0b
Counts
84 → 7
Compiler

Compiled 532 to 155 computations (70.9% saved)

regimes1.6s (23%)

Accuracy

Total 3.4b remaining (99.3%)

Threshold costs 0b (0%)

Compiler

Compiled 15911 to 11439 computations (28.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02158
12158

end46.0ms (0.7%)

Remove

(sort b1 b2)

Compiler

Compiled 245 to 133 computations (45.7% saved)

sample1.1s (15.4%)

Algorithm
1×intervals
Results
234.0ms8000×body128valid
51.0ms1914×body128invalid
Compiler

Compiled 108 to 106 computations (1.9% saved)

Profiling

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