Details

Time bar (total: 8.9s)

analyze1.1s (12.5%)

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)

sample41.0ms (0.5%)

Algorithm
1×intervals
Results
13.0ms256×body128valid
3.0ms62×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify175.0ms (2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
06810
16810

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
14.1b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

13.7b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite63.0ms (0.7%)

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:

11.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 291 to 77 computations (73.5% saved)

series339.0ms (3.8%)

Error
14.1b
Counts
1 → 12
Calls

1 calls:

329.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify138.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (121.0ms)

IterNodesCost
05076370

prune54.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Compiled 380 to 110 computations (71.1% saved)

localize67.0ms (0.8%)

Local error

Found 1 expressions with local error:

9.5b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

rewrite112.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
27×add-sqr-sqrt_binary64_3510
22×times-frac_binary64_3494
15×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
13×add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524 associate-*l*_binary64_3429 associate-*r*_binary64_3428
4×div-exp_binary64_3539 prod-exp_binary64_3537 cbrt-unprod_binary64_3521 cbrt-undiv_binary64_3522 unswap-sqr_binary64_3456
3×pow1_binary64_3549
2×div-inv_binary64_3485
1×pow-prod-down_binary64_3559 add-log-exp_binary64_3527 frac-times_binary64_3498 associate-*l/_binary64_3431 associate-*r/_binary64_3430 *-commutative_binary64_3419
Counts
1 → 50
Calls

1 calls:

22.0ms
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
Compiler

Compiled 744 to 196 computations (73.7% saved)

series363.0ms (4.1%)

Error
0.1b
Counts
1 → 12
Calls

1 calls:

354.0ms
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify203.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (179.0ms)

IterNodesCost
04985803
14985803

prune88.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New57562
Fresh156
Picked101
Done101
Total601070
Error
0b
Counts
70 → 10
Compiler

Compiled 848 to 240 computations (71.7% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.3b
(*.f64 a2 (/.f64 a1 b1))
5.6b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

rewrite95.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
17×add-sqr-sqrt_binary64_3510
16×add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524
13×times-frac_binary64_3494 associate-*r*_binary64_3428
12×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
5×div-exp_binary64_3539 cbrt-undiv_binary64_3522
4×pow1_binary64_3549 prod-exp_binary64_3537 cbrt-unprod_binary64_3521
3×associate-/r*_binary64_3432 associate-*l*_binary64_3429
2×add-log-exp_binary64_3527 div-inv_binary64_3485 associate-*r/_binary64_3430 unswap-sqr_binary64_3456
1×frac-2neg_binary64_3499 clear-num_binary64_3487 associate-/l/_binary64_3435 associate-/l*_binary64_3433 pow-prod-down_binary64_3559 *-commutative_binary64_3419
Counts
2 → 56
Calls

2 calls:

13.0ms
(*.f64 a2 (/.f64 a1 b1))
11.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
Compiler

Compiled 754 to 218 computations (71.1% saved)

series497.0ms (5.6%)

Error
0b
Counts
2 → 21
Calls

2 calls:

312.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
171.0ms
(*.f64 a2 (/.f64 a1 b1))
Compiler

Compiled 441 to 303 computations (31.3% saved)

simplify157.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (133.0ms)

IterNodesCost
04965800
14965800

prune97.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh279
Picked011
Done000
Total78987
Error
0b
Counts
87 → 9
Compiler

Compiled 879 to 242 computations (72.5% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.9b
(*.f64 a1 (/.f64 a2 b2))
6.8b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)

rewrite101.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
17×add-sqr-sqrt_binary64_3510
16×add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524
13×times-frac_binary64_3494 associate-*r*_binary64_3428
12×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
5×div-exp_binary64_3539 cbrt-undiv_binary64_3522
4×pow1_binary64_3549 prod-exp_binary64_3537 cbrt-unprod_binary64_3521
3×associate-/r*_binary64_3432 associate-*l*_binary64_3429
2×add-log-exp_binary64_3527 div-inv_binary64_3485 associate-*r/_binary64_3430 unswap-sqr_binary64_3456
1×frac-2neg_binary64_3499 clear-num_binary64_3487 associate-/l/_binary64_3435 associate-/l*_binary64_3433 pow-prod-down_binary64_3559 *-commutative_binary64_3419
Counts
2 → 56
Calls

2 calls:

15.0ms
(*.f64 a1 (/.f64 a2 b2))
13.0ms
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
Compiler

Compiled 754 to 218 computations (71.1% saved)

series588.0ms (6.6%)

Error
0b
Counts
2 → 21
Calls

2 calls:

376.0ms
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
190.0ms
(*.f64 a1 (/.f64 a2 b2))
Compiler

Compiled 441 to 303 computations (31.3% saved)

simplify200.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (173.0ms)

IterNodesCost
04958800
14958800

prune77.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New76177
Fresh257
Picked011
Done011
Total78886
Error
0b
Counts
86 → 8
Compiler

Compiled 788 to 171 computations (78.3% saved)

regimes2.0s (22.4%)

Accuracy

Total 2.4b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 4226 to 3131 computations (25.9% saved)

bsearch4.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
037105
137105

end0.0ms (0%)

sample2.3s (25.8%)

Algorithm
1×intervals
Results
427.0ms8000×body128valid
101.0ms1895×body128invalid
Compiler

Compiled 624 to 442 computations (29.2% saved)

Profiling

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