Details

Time bar (total: 3.1s)

analyze556.0ms (17.8%)

Algorithm
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)

sample18.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
2.0ms61×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify103.0ms (3.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06810
16810

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.6b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

10.3b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite9.0ms (0.3%)

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

1 calls:

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

series34.0ms (1.1%)

Counts
1 → 3
Calls

1 calls:

34.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify70.0ms (2.2%)

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05076280

prune26.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New19524
Fresh000
Picked011
Done000
Total19625

Merged error: 0.0b

Counts
25 → 6
Compiler

Compiled 281 to 90 computations (68% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.5b
(*.f64 a2 (/.f64 a1 b1))
5.7b
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

rewrite17.0ms (0.6%)

Algorithm
rewrite-expression-head
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×*-un-lft-identity_binary64_2465 add-cube-cbrt_binary64_2500
cbrt-undiv_binary64_2499 div-exp_binary64_2516
pow1_binary64_2526 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
associate-/r*_binary64_2409 associate-*l*_binary64_2406
add-log-exp_binary64_2504 associate-*r/_binary64_2407 unswap-sqr_binary64_2433 div-inv_binary64_2462
*-commutative_binary64_2396 associate-/l/_binary64_2412 clear-num_binary64_2464 frac-2neg_binary64_2476 pow-prod-down_binary64_2536 associate-/l*_binary64_2410
Counts
2 → 56
Calls

2 calls:

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

series54.0ms (1.7%)

Counts
2 → 6
Calls

2 calls:

35.0ms
(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
20.0ms
(*.f64 a2 (/.f64 a1 b1))

simplify86.0ms (2.7%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04965668
14965668

prune45.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New58462
Fresh134
Picked011
Done011
Total59968

Merged error: 0.0b

Counts
68 → 9
Compiler

Compiled 742 to 226 computations (69.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.3b
(/.f64 b2 (/.f64 a1 b1))
5.7b
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))

rewrite56.0ms (1.8%)

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

2 calls:

14.0ms
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
9.0ms
(/.f64 b2 (/.f64 a1 b1))

series58.0ms (1.8%)

Counts
2 → 6
Calls

2 calls:

34.0ms
(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
24.0ms
(/.f64 b2 (/.f64 a1 b1))

simplify131.0ms (4.2%)

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049896175
149896175

prune177.0ms (5.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2693272
Fresh516
Picked101
Done022
Total2756281

Merged error: 0b

Counts
281 → 6
Compiler

Compiled 4744 to 787 computations (83.4% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

9.0b
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))

rewrite15.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64_2487
22×times-frac_binary64_2471
15×*-un-lft-identity_binary64_2465 add-cube-cbrt_binary64_2500
13×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 associate-*r*_binary64_2405 associate-*l*_binary64_2406
cbrt-undiv_binary64_2499 unswap-sqr_binary64_2433 div-exp_binary64_2516 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
pow1_binary64_2526
div-inv_binary64_2462
associate-*l/_binary64_2408 add-log-exp_binary64_2504 *-commutative_binary64_2396 frac-times_binary64_2475 associate-*r/_binary64_2407 pow-prod-down_binary64_2536
Counts
1 → 50
Calls

1 calls:

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

series36.0ms (1.1%)

Counts
1 → 3
Calls

1 calls:

36.0ms
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))

simplify91.0ms (2.9%)

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
04981713
14981713

prune31.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New53053
Fresh033
Picked011
Done022
Total53659

Merged error: 0b

Counts
59 → 6
Compiler

Compiled 671 to 152 computations (77.3% saved)

regimes628.0ms (20.1%)

Compiler

Compiled 2060 to 1706 computations (17.2% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033110
133110

end0.0ms (0%)

sample854.0ms (27.3%)

Algorithm
intervals
Results
224.0ms8000×body128valid
55.0ms1882×body128invalid
Compiler

Compiled 341 to 251 computations (26.4% saved)

Profiling

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