Details

Time bar (total: 8.8s)

analyze944.0ms (10.7%)

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)

sample35.0ms (0.4%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
1.0ms53×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
9.6b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

9.4b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite34.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
13×add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524
4×prod-exp_binary64_3537 div-exp_binary64_3539 cbrt-undiv_binary64_3522 cbrt-unprod_binary64_3521
1×pow1_binary64_3549 add-log-exp_binary64_3527 add-cube-cbrt_binary64_3523 add-sqr-sqrt_binary64_3510 frac-2neg_binary64_3499 times-frac_binary64_3494 *-un-lft-identity_binary64_3488 clear-num_binary64_3487 div-inv_binary64_3485 associate-/l*_binary64_3433 associate-/r*_binary64_3432
Counts
1 → 21
Calls

1 calls:

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

Compiled 291 to 77 computations (73.5% saved)

series196.0ms (2.2%)

Error
9.6b
Counts
1 → 12
Calls

1 calls:

191.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify75.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05076370

prune29.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New26733
Fresh000
Picked011
Done000
Total26834
Error
0.1b
Counts
34 → 8
Compiler

Compiled 372 to 110 computations (70.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.6b
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
9.2b
(/.f64 (*.f64 b1 b2) (*.f64 a1 a2))

rewrite84.0ms (1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
58×add-exp-log_binary64_3526
32×add-cbrt-cube_binary64_3524
26×div-exp_binary64_3539
20×times-frac_binary64_3494
16×prod-exp_binary64_3537
13×cbrt-undiv_binary64_3522
12×add-cube-cbrt_binary64_3523 add-sqr-sqrt_binary64_3510 *-un-lft-identity_binary64_3488
8×cbrt-unprod_binary64_3521
6×div-inv_binary64_3485 associate-/r*_binary64_3432
5×1-exp_binary64_3532 rec-exp_binary64_3538
4×associate-/l*_binary64_3433
3×pow1_binary64_3549
2×add-log-exp_binary64_3527 frac-2neg_binary64_3499 clear-num_binary64_3487
1×inv-pow_binary64_3573 pow-flip_binary64_3562 associate-/r/_binary64_3434
Counts
2 → 77
Calls

2 calls:

8.0ms
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
5.0ms
(/.f64 (*.f64 b1 b2) (*.f64 a1 a2))
Compiler

Compiled 1277 to 418 computations (67.3% saved)

series365.0ms (4.1%)

Error
0.1b
Counts
2 → 24
Calls

2 calls:

183.0ms
(/.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
172.0ms
(/.f64 (*.f64 b1 b2) (*.f64 a1 a2))
Compiler

Compiled 576 to 416 computations (27.8% saved)

simplify74.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050771335

prune68.0ms (0.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New965101
Fresh336
Picked011
Done011
Total9910109
Error
0.0b
Counts
109 → 10
Compiler

Compiled 1249 to 360 computations (71.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.2b
(/.f64 (*.f64 b1 b2) (*.f64 a1 a2))
16.1b
(cbrt.f64 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
16.1b
(cbrt.f64 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
16.1b
(cbrt.f64 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))

rewrite90.0ms (1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
16×add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524
15×cbrt-prod_binary64_3519
7×add-cube-cbrt_binary64_3523 add-sqr-sqrt_binary64_3510 *-un-lft-identity_binary64_3488
4×pow1_binary64_3549 add-log-exp_binary64_3527 times-frac_binary64_3494 div-inv_binary64_3485 prod-exp_binary64_3537 div-exp_binary64_3539 cbrt-undiv_binary64_3522 cbrt-unprod_binary64_3521
3×pow1/3_binary64_3570 cbrt-div_binary64_3520
1×frac-2neg_binary64_3499 clear-num_binary64_3487 associate-/l*_binary64_3433 associate-/r*_binary64_3432
Counts
4 → 63
Calls

4 calls:

6.0ms
(/.f64 (*.f64 b1 b2) (*.f64 a1 a2))
4.0ms
(cbrt.f64 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
4.0ms
(cbrt.f64 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
4.0ms
(cbrt.f64 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
Compiler

Compiled 2331 to 499 computations (78.6% saved)

series1.9s (21.9%)

Error
0.0b
Counts
4 → 48
Calls

4 calls:

573.0ms
(cbrt.f64 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
554.0ms
(cbrt.f64 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
537.0ms
(cbrt.f64 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))
210.0ms
(/.f64 (*.f64 b1 b2) (*.f64 a1 a2))
Compiler

Compiled 5004 to 2545 computations (49.1% saved)

simplify59.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050001648

prune112.0ms (1.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh077
Picked011
Done022
Total11110121
Error
0.0b
Counts
121 → 10
Compiler

Compiled 3789 to 892 computations (76.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.2b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
6.3b
(/.f64 b1 (/.f64 a2 b2))

rewrite256.0ms (2.9%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
471×times-frac_binary64_3494
229×add-cube-cbrt_binary64_3523 add-sqr-sqrt_binary64_3510 *-un-lft-identity_binary64_3488
57×associate-/r*_binary64_3432
22×div-inv_binary64_3485
16×add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524
9×div-exp_binary64_3539 cbrt-undiv_binary64_3522
6×associate-/r/_binary64_3434 associate-/l*_binary64_3433
2×pow1_binary64_3549 add-log-exp_binary64_3527 frac-2neg_binary64_3499 clear-num_binary64_3487
Counts
2 → 266
Calls

2 calls:

13.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
6.0ms
(/.f64 b1 (/.f64 a2 b2))
Compiler

Compiled 5203 to 1261 computations (75.8% saved)

series294.0ms (3.3%)

Error
0.0b
Counts
2 → 21
Calls

2 calls:

187.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
99.0ms
(/.f64 b1 (/.f64 a2 b2))
Compiler

Compiled 441 to 303 computations (31.3% saved)

simplify132.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
287 → 287
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049776307
149776307

prune194.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2843287
Fresh426
Picked101
Done123
Total2907297
Error
0b
Counts
297 → 7
Compiler

Compiled 4817 to 761 computations (84.2% saved)

regimes1.4s (16%)

Accuracy

Total 3.3b remaining (100%)

Threshold costs 0b (0%)

Compiler

Compiled 8020 to 5776 computations (28% saved)

bsearch3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify42.0ms (0.5%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033110
133110
Compiler

Compiled 300 to 108 computations (64% saved)

end0.0ms (0%)

sample2.3s (26.5%)

Algorithm
1×intervals
Results
237.0ms8000×body128valid
60.0ms1945×body128invalid
Compiler

Compiled 1099 to 777 computations (29.3% saved)

Profiling

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