Details

Time bar (total: 7.4s)

analyze1.1s (14.5%)

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
6.2%93.6%0.2%9
9.4%90.4%0.2%10
14%83.4%2.5%11
18.7%78.2%3.1%12
28.1%65.5%6.4%13
30.7%59.4%9.9%14
Compiler

Compiled 16 to 12 computations (25% saved)

sample36.0ms (0.5%)

Algorithm
intervals
Results
12.0ms256×body128valid
9.0ms187×body128invalid
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify105.0ms (1.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04922
14922

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.2b

Counts
2 → 1
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
18.1b
(/.f64 (*.f64 z z) (*.f64 t t))
20.4b
(/.f64 (*.f64 x x) (*.f64 y y))

rewrite36.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
27×add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
prod-exp_binary64_17518 div-exp_binary64_17520 cbrt-undiv_binary64_17503 cbrt-unprod_binary64_17502
*-un-lft-identity_binary64_17469 add-log-exp_binary64_17508
add-cube-cbrt_binary64_17504 add-sqr-sqrt_binary64_17491 pow1_binary64_17530
associate-/l*_binary64_17414 associate-/r*_binary64_17413 frac-2neg_binary64_17480 clear-num_binary64_17468 times-frac_binary64_17475 div-inv_binary64_17466
distribute-lft-out_binary64_17420 flip3-+_binary64_17472 flip-+_binary64_17443 +-commutative_binary64_17399 frac-add_binary64_17477 sum-log_binary64_17560
Counts
3 → 55
Calls

3 calls:

12.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
11.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
8.0ms
(/.f64 (*.f64 x x) (*.f64 y y))

series165.0ms (2.2%)

Counts
3 → 9
Calls

3 calls:

111.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
27.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
27.0ms
(/.f64 (*.f64 z z) (*.f64 t t))

simplify88.0ms (1.2%)

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04968879
14968879

prune91.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New531164
Fresh000
Picked101
Done000
Total541165

Merged error: 3.6b

Counts
65 → 11
Compiler

Compiled 1327 to 342 computations (74.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
0.3b
(*.f64 (/.f64 x y) (/.f64 x y))
18.1b
(/.f64 (*.f64 z z) (*.f64 t t))

rewrite44.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt_binary64_17491
41×times-frac_binary64_17475
31×*-un-lft-identity_binary64_17469 add-cube-cbrt_binary64_17504
27×add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
13×associate-*l*_binary64_17410 associate-*r*_binary64_17409 swap-sqr_binary64_17436
10×pow1_binary64_17530
prod-exp_binary64_17518 div-exp_binary64_17520 cbrt-undiv_binary64_17503 cbrt-unprod_binary64_17502
add-log-exp_binary64_17508 div-inv_binary64_17466
unswap-sqr_binary64_17437
frac-add_binary64_17477
associate-*r/_binary64_17411 frac-times_binary64_17479 associate-*l/_binary64_17412
associate-/l*_binary64_17414 associate-/r*_binary64_17413 *-commutative_binary64_17400 pow-plus_binary64_17532 pow-prod-up_binary64_17539 frac-2neg_binary64_17480 pow-sqr_binary64_17442 flip3-+_binary64_17472 flip-+_binary64_17443 clear-num_binary64_17468 pow2_binary64_17550 pow-prod-down_binary64_17540 +-commutative_binary64_17399 sum-log_binary64_17560
Counts
3 → 102
Calls

3 calls:

13.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
12.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
9.0ms
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))

series157.0ms (2.1%)

Counts
3 → 9
Calls

3 calls:

106.0ms
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
31.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
20.0ms
(*.f64 (/.f64 x y) (/.f64 x y))

simplify75.0ms (1%)

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
055291430

prune122.0ms (1.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1047111
Fresh3710
Picked101
Done000
Total10814122

Merged error: 0.1b

Counts
122 → 14
Compiler

Compiled 2326 to 650 computations (72.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 z t) (/.f64 z t)))
0.3b
(*.f64 (/.f64 x y) (/.f64 x y))
0.3b
(*.f64 (/.f64 z t) (/.f64 z t))

rewrite76.0ms (1%)

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt_binary64_17491
80×times-frac_binary64_17475
59×*-un-lft-identity_binary64_17469 add-cube-cbrt_binary64_17504
27×add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
26×associate-*l*_binary64_17410 associate-*r*_binary64_17409 swap-sqr_binary64_17436
17×pow1_binary64_17530
frac-add_binary64_17477
associate-*r/_binary64_17411 prod-exp_binary64_17518 unswap-sqr_binary64_17437 frac-times_binary64_17479 div-exp_binary64_17520 cbrt-undiv_binary64_17503 associate-*l/_binary64_17412 cbrt-unprod_binary64_17502 div-inv_binary64_17466
add-log-exp_binary64_17508
*-commutative_binary64_17400 pow-plus_binary64_17532 pow-prod-up_binary64_17539 pow-sqr_binary64_17442 pow2_binary64_17550 pow-prod-down_binary64_17540
flip3-+_binary64_17472 flip-+_binary64_17443 +-commutative_binary64_17399 sum-log_binary64_17560
Counts
3 → 154
Calls

3 calls:

23.0ms
(*.f64 (/.f64 z t) (/.f64 z t))
20.0ms
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 z t) (/.f64 z t)))
19.0ms
(*.f64 (/.f64 x y) (/.f64 x y))

series131.0ms (1.8%)

Counts
3 → 9
Calls

3 calls:

86.0ms
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 z t) (/.f64 z t)))
25.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
20.0ms
(*.f64 (/.f64 z t) (/.f64 z t))

simplify109.0ms (1.5%)

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
050552205

prune200.0ms (2.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New15112163
Fresh8513
Picked101
Done000
Total16017177

Merged error: 0.0b

Counts
177 → 17
Compiler

Compiled 3451 to 938 computations (72.8% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 y)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite18.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_17500
*-un-lft-identity_binary64_17469 add-cube-cbrt_binary64_17504 add-sqr-sqrt_binary64_17491
pow1/3_binary64_17551 add-exp-log_binary64_17507 add-log-exp_binary64_17508 pow1_binary64_17530 add-cbrt-cube_binary64_17505
Counts
4 → 44
Calls

4 calls:

5.0ms
(cbrt.f64 x)
2.0ms
(cbrt.f64 x)
2.0ms
(cbrt.f64 x)
2.0ms
(cbrt.f64 y)

series446.0ms (6%)

Counts
4 → 12
Calls

4 calls:

129.0ms
(cbrt.f64 y)
115.0ms
(cbrt.f64 x)
112.0ms
(cbrt.f64 x)
89.0ms
(cbrt.f64 x)

simplify41.0ms (0.6%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05087340

prune57.0ms (0.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh01616
Picked011
Done000
Total561773

Merged error: 0.0b

Counts
73 → 17
Compiler

Compiled 1800 to 316 computations (82.4% saved)

regimes1.8s (24.9%)

Compiler

Compiled 16690 to 11323 computations (32.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01122
11122

end0.0ms (0%)

sample2.4s (32.9%)

Algorithm
intervals
Results
424.0ms8000×body128valid
333.0ms6242×body128invalid
Compiler

Compiled 1314 to 892 computations (32.1% saved)

Profiling

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