Details

Time bar (total: 8.3s)

analyze733.0ms (8.9%)

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)

sample32.0ms (0.4%)

Algorithm
1×intervals
Results
11.0ms256×body128valid
2.0ms42×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify123.0ms (1.5%)

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
10.8b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

10.6b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite33.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Error
0.0b
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)

series211.0ms (2.5%)

Error
10.8b
Counts
1 → 12
Calls

1 calls:

206.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify94.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
05076370

prune26.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New26733
Fresh000
Picked101
Done000
Total27734
Error
0.0b
Counts
34 → 7
Compiler

Compiled 372 to 110 computations (70.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.5b
(/.f64 b1 (/.f64 a2 b2))
5.4b
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite368.0ms (4.4%)

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

Compiled 5203 to 1261 computations (75.8% saved)

series380.0ms (4.6%)

Error
0.0b
Counts
2 → 21
Calls

2 calls:

271.0ms
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
101.0ms
(/.f64 b1 (/.f64 a2 b2))
Compiler

Compiled 441 to 303 computations (31.3% saved)

simplify168.0ms (2%)

Algorithm
1×egg-herbie
Counts
287 → 287
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
049776307
149776307

prune274.0ms (3.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2834287
Fresh426
Picked011
Done000
Total2877294
Error
0b
Counts
294 → 7
Compiler

Compiled 4868 to 809 computations (83.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 a1)
0.6b
(cbrt.f64 a1)
2.6b
(*.f64 (/.f64 a2 b2) (cbrt.f64 a1))
8.3b
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1)) b1) (*.f64 (/.f64 a2 b2) (cbrt.f64 a1)))

rewrite121.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
45×add-exp-log_binary64_3526
31×add-cbrt-cube_binary64_3524
27×add-sqr-sqrt_binary64_3510
20×prod-exp_binary64_3537 cbrt-unprod_binary64_3521 associate-*l*_binary64_3429
17×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
14×times-frac_binary64_3494
11×pow1_binary64_3549 cbrt-prod_binary64_3519
10×div-exp_binary64_3539 cbrt-undiv_binary64_3522
7×associate-*r*_binary64_3428
4×pow-prod-down_binary64_3559 add-log-exp_binary64_3527 associate-*l/_binary64_3431 unswap-sqr_binary64_3456
2×div-inv_binary64_3485 *-commutative_binary64_3419 pow1/3_binary64_3570
1×frac-times_binary64_3498 associate-*r/_binary64_3430
Counts
4 → 98
Calls

4 calls:

13.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1)) b1) (*.f64 (/.f64 a2 b2) (cbrt.f64 a1)))
12.0ms
(*.f64 (/.f64 a2 b2) (cbrt.f64 a1))
1.0ms
(cbrt.f64 a1)
1.0ms
(cbrt.f64 a1)
Compiler

Compiled 2096 to 366 computations (82.5% saved)

series760.0ms (9.2%)

Error
0b
Counts
4 → 27
Calls

4 calls:

342.0ms
(*.f64 (/.f64 a2 b2) (cbrt.f64 a1))
227.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1)) b1) (*.f64 (/.f64 a2 b2) (cbrt.f64 a1)))
86.0ms
(cbrt.f64 a1)
80.0ms
(cbrt.f64 a1)
Compiler

Compiled 993 to 672 computations (32.3% saved)

simplify95.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
051691319

prune82.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh055
Picked011
Done011
Total1257132
Error
0b
Counts
132 → 7
Compiler

Compiled 1926 to 398 computations (79.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.0b
(*.f64 a1 (/.f64 a2 (*.f64 b1 b2)))
7.3b
(/.f64 a2 (*.f64 b1 b2))

rewrite50.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
16×add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524
9×add-sqr-sqrt_binary64_3510
7×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488 associate-*r*_binary64_3428
6×times-frac_binary64_3494
5×prod-exp_binary64_3537 cbrt-unprod_binary64_3521
4×pow1_binary64_3549 div-exp_binary64_3539 cbrt-undiv_binary64_3522
3×associate-/l*_binary64_3433 associate-*l*_binary64_3429
2×add-log-exp_binary64_3527 div-inv_binary64_3485
1×frac-2neg_binary64_3499 clear-num_binary64_3487 associate-/r*_binary64_3432 pow-prod-down_binary64_3559 unswap-sqr_binary64_3456 associate-*r/_binary64_3430 *-commutative_binary64_3419
Counts
2 → 48
Calls

2 calls:

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

Compiled 629 to 161 computations (74.4% saved)

series426.0ms (5.1%)

Error
0b
Counts
2 → 21
Calls

2 calls:

266.0ms
(*.f64 a1 (/.f64 a2 (*.f64 b1 b2)))
151.0ms
(/.f64 a2 (*.f64 b1 b2))
Compiler

Compiled 441 to 303 computations (31.3% saved)

simplify109.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
04990702
14990702

prune32.0ms (0.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

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

Compiled 677 to 132 computations (80.5% saved)

regimes1.9s (22.7%)

Accuracy

Total 4.4b remaining (100%)

Threshold costs 0b (0%)

Compiler

Compiled 9949 to 7155 computations (28.1% saved)

bsearch6.0ms (0.1%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
051164
151164

end0.0ms (0%)

sample2.2s (27%)

Algorithm
1×intervals
Results
269.0ms8000×body128valid
64.0ms1779×body128invalid
Compiler

Compiled 1462 to 1020 computations (30.2% saved)

Profiling

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