Details

Time bar (total: 24.1s)

analyze2.4s (9.9%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05256550
077
177
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.2%98.5%0.3%13
1.8%97.9%0.3%14
Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 18 to 18 computations (0% saved)

sample66.0ms (0.3%)

Algorithm
intervals
Results
13.0ms256×body128valid
7.0ms133×body128invalid
Compiler

Compiled 35 to 42 computations (-20% saved)

simplify68.0ms (0.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
093725
193725

prune12.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
Counts
2 → 1
Compiler

Compiled 34 to 34 computations (0% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
0.0b
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))
0.0b
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.2b
(/.f64 (*.f64 z t) 16)

rewrite204.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
20×add-log-exp_binary64_7619
17×*-un-lft-identity_binary64_7580
14×cancel-sign-sub-inv_binary64_7546
12×add-sqr-sqrt_binary64_7602
10×add-cube-cbrt_binary64_7615
add-exp-log_binary64_7618 add-cbrt-cube_binary64_7616 times-frac_binary64_7586 associate-+l+_binary64_7513
sum-log_binary64_7671
pow1_binary64_7641 diff-log_binary64_7672
div-inv_binary64_7577 associate-/r*_binary64_7524 flip3-+_binary64_7583 flip-+_binary64_7554
div-exp_binary64_7631 cbrt-undiv_binary64_7614 distribute-lft-out_binary64_7531 distribute-lft-out--_binary64_7532 sub-neg_binary64_7573 associate--l+_binary64_7517 +-commutative_binary64_7510 frac-sub_binary64_7589
prod-exp_binary64_7629 cbrt-unprod_binary64_7613 frac-2neg_binary64_7591 clear-num_binary64_7579 associate-/l*_binary64_7525 associate-+l-_binary64_7515 flip3--_binary64_7584 flip--_binary64_7555 difference-of-squares_binary64_7549
Counts
4 → 81
Calls

4 calls:

14.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
10.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
6.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))
5.0ms
(/.f64 (*.f64 z t) 16)
Compiler

Compiled 2165 to 1041 computations (51.9% saved)

series1.9s (7.8%)

Error
0.3b
Counts
4 → 108
Calls

4 calls:

830.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
661.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
286.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))
80.0ms
(/.f64 (*.f64 z t) 16)
Compiler

Compiled 2560 to 2621 computations (-2.4% saved)

simplify72.0ms (0.3%)

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049313291
149313291

prune165.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1854189
Fresh000
Picked101
Done000
Total1864190
Error
0.0b
Counts
190 → 4
Compiler

Compiled 1831 to 886 computations (51.6% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
0.0b
(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16)))
0.0b
(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)

rewrite168.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
19×add-log-exp_binary64_7619
14×*-un-lft-identity_binary64_7580 cancel-sign-sub-inv_binary64_7546
add-sqr-sqrt_binary64_7602 associate-+l+_binary64_7513
add-cube-cbrt_binary64_7615
sum-log_binary64_7671 times-frac_binary64_7586
diff-log_binary64_7672
pow1_binary64_7641 add-exp-log_binary64_7618 add-cbrt-cube_binary64_7616 flip3-+_binary64_7583 flip-+_binary64_7554
distribute-lft-out_binary64_7531 distribute-lft-out--_binary64_7532 sub-neg_binary64_7573 div-inv_binary64_7577 associate--l+_binary64_7517 +-commutative_binary64_7510 frac-sub_binary64_7589
associate-+l-_binary64_7515 flip3--_binary64_7584 flip--_binary64_7555 difference-of-squares_binary64_7549
Counts
3 → 60
Calls

3 calls:

12.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)
9.0ms
(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16)))
Compiler

Compiled 1699 to 900 computations (47% saved)

series1.8s (7.5%)

Error
0.0b
Counts
3 → 102
Calls

3 calls:

815.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)
668.0ms
(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
286.0ms
(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16)))
Compiler

Compiled 2356 to 2417 computations (-2.6% saved)

simplify67.0ms (0.3%)

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050123065

prune135.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1611162
Fresh123
Picked011
Done000
Total1624166
Error
0.0b
Counts
166 → 4
Compiler

Compiled 1454 to 760 computations (47.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (+.f64 (*.f64 x y) (/.f64 z (/.f64 16 t))) (/.f64 (*.f64 a b) 4))
0.0b
(+.f64 (*.f64 x y) (/.f64 z (/.f64 16 t)))
0.0b
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 z (/.f64 16 t))) (/.f64 (*.f64 a b) 4)) c)
0.3b
(/.f64 z (/.f64 16 t))

rewrite602.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
81×times-frac_binary64_7586
57×*-un-lft-identity_binary64_7580
52×add-sqr-sqrt_binary64_7602
50×add-cube-cbrt_binary64_7615
20×add-log-exp_binary64_7619
14×cancel-sign-sub-inv_binary64_7546
13×associate-/r*_binary64_7524
add-exp-log_binary64_7618 add-cbrt-cube_binary64_7616 associate-+l+_binary64_7513
div-inv_binary64_7577
sum-log_binary64_7671
pow1_binary64_7641 diff-log_binary64_7672
div-exp_binary64_7631 cbrt-undiv_binary64_7614 associate-/l*_binary64_7525 flip3-+_binary64_7583 flip-+_binary64_7554
distribute-lft-out_binary64_7531 distribute-lft-out--_binary64_7532 sub-neg_binary64_7573 associate--l+_binary64_7517 +-commutative_binary64_7510 frac-sub_binary64_7589
frac-2neg_binary64_7591 clear-num_binary64_7579 associate-/r/_binary64_7526 associate-+l-_binary64_7515 flip3--_binary64_7584 flip--_binary64_7555 difference-of-squares_binary64_7549
Counts
4 → 130
Calls

4 calls:

23.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 z (/.f64 16 t))) (/.f64 (*.f64 a b) 4)) c)
17.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 z (/.f64 16 t))) (/.f64 (*.f64 a b) 4))
11.0ms
(+.f64 (*.f64 x y) (/.f64 z (/.f64 16 t)))
6.0ms
(/.f64 z (/.f64 16 t))
Compiler

Compiled 3531 to 1850 computations (47.6% saved)

series1.9s (8%)

Error
0.0b
Counts
4 → 108
Calls

4 calls:

841.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 z (/.f64 16 t))) (/.f64 (*.f64 a b) 4)) c)
687.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 z (/.f64 16 t))) (/.f64 (*.f64 a b) 4))
277.0ms
(+.f64 (*.f64 x y) (/.f64 z (/.f64 16 t)))
76.0ms
(/.f64 z (/.f64 16 t))
Compiler

Compiled 2560 to 2621 computations (-2.4% saved)

simplify84.0ms (0.3%)

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049314223
149314223

prune290.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2371238
Fresh112
Picked011
Done011
Total2384242
Error
0.0b
Counts
242 → 4
Compiler

Compiled 2966 to 1424 computations (52% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 (-.f64 (+.f64 (*.f64 1/16 (*.f64 t z)) c) (*.f64 1/4 (*.f64 a b))) (*.f64 x y)))
0.2b
(*.f64 1/16 (*.f64 t z))
0.2b
(*.f64 1/16 (*.f64 t z))
0.2b
(*.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 (*.f64 1/16 (*.f64 t z)) c) (*.f64 1/4 (*.f64 a b))) (*.f64 x y))) (sqrt.f64 (+.f64 (-.f64 (+.f64 (*.f64 1/16 (*.f64 t z)) c) (*.f64 1/4 (*.f64 a b))) (*.f64 x y))))

rewrite328.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
30×pow1_binary64_7641 add-sqr-sqrt_binary64_7602
21×sqrt-prod_binary64_7596
16×add-exp-log_binary64_7618 add-cbrt-cube_binary64_7616
15×add-cube-cbrt_binary64_7615 *-un-lft-identity_binary64_7580
14×sqrt-div_binary64_7597
12×associate-*l*_binary64_7521
pow1/2_binary64_7660 pow-prod-down_binary64_7651 sqrt-pow1_binary64_7598
swap-sqr_binary64_7547 associate-*r*_binary64_7520
prod-exp_binary64_7629 cbrt-unprod_binary64_7613 flip3-+_binary64_7583 flip-+_binary64_7554
pow-prod-up_binary64_7650
add-log-exp_binary64_7619 frac-times_binary64_7590 unswap-sqr_binary64_7548
rem-sqrt-square_binary64_7593 pow-sqr_binary64_7553 *-commutative_binary64_7511
associate-*l/_binary64_7523 associate-*r/_binary64_7522
pow2_binary64_7661 pow-plus_binary64_7643 sqrt-unprod_binary64_7600 sqr-abs_binary64_7595 rem-square-sqrt_binary64_7592
Counts
4 → 109
Calls

4 calls:

27.0ms
(*.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 (*.f64 1/16 (*.f64 t z)) c) (*.f64 1/4 (*.f64 a b))) (*.f64 x y))) (sqrt.f64 (+.f64 (-.f64 (+.f64 (*.f64 1/16 (*.f64 t z)) c) (*.f64 1/4 (*.f64 a b))) (*.f64 x y))))
11.0ms
(sqrt.f64 (+.f64 (-.f64 (+.f64 (*.f64 1/16 (*.f64 t z)) c) (*.f64 1/4 (*.f64 a b))) (*.f64 x y)))
5.0ms
(*.f64 1/16 (*.f64 t z))
5.0ms
(*.f64 1/16 (*.f64 t z))
Compiler

Compiled 4856 to 2358 computations (51.4% saved)

series1.6s (6.8%)

Error
0.0b
Counts
4 → 82
Calls

4 calls:

884.0ms
(*.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 (*.f64 1/16 (*.f64 t z)) c) (*.f64 1/4 (*.f64 a b))) (*.f64 x y))) (sqrt.f64 (+.f64 (-.f64 (+.f64 (*.f64 1/16 (*.f64 t z)) c) (*.f64 1/4 (*.f64 a b))) (*.f64 x y))))
550.0ms
(sqrt.f64 (+.f64 (-.f64 (+.f64 (*.f64 1/16 (*.f64 t z)) c) (*.f64 1/4 (*.f64 a b))) (*.f64 x y)))
92.0ms
(*.f64 1/16 (*.f64 t z))
82.0ms
(*.f64 1/16 (*.f64 t z))
Compiler

Compiled 4473 to 3492 computations (21.9% saved)

simplify112.0ms (0.5%)

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049154419
149154419

prune185.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1910191
Fresh011
Picked011
Done022
Total1914195
Error
0.0b
Counts
195 → 4
Compiler

Compiled 3207 to 1515 computations (52.8% saved)

regimes10.4s (43%)

Accuracy

Total 0.0b remaining (7.8%)

Threshold costs 0.0b (7.8%)

Compiler

Compiled 109335 to 103358 computations (5.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05625
15625

end48.0ms (0.2%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 119 to 119 computations (0% saved)

sample1.4s (5.9%)

Algorithm
intervals
Results
430.0ms8000×body128valid
211.0ms3982×body128invalid
Compiler

Compiled 128 to 146 computations (-14.1% saved)

Profiling

Loading profile data...