Details

Time bar (total: 3.4s)

analyze228.0ms (6.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
12.5%87.4%0.1%4
12.5%87.4%0.1%5
15.6%84.3%0.1%6
32.8%67.1%0.1%7
38.2%61.6%0.1%8
46%53.8%0.1%9
62.6%37.3%0.1%10
67.2%32.7%0.1%11
71.1%28.8%0.1%12
81.6%18.2%0.1%13
84.1%15.7%0.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (0.4%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify282.0ms (8.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (190.0ms)

IterNodesCost
0301913
1301913

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
6.5b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.5b
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite21.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt_binary64_16468
53×*-un-lft-identity_binary64_16446
42×times-frac_binary64_16452
20×difference-of-squares_binary64_16415
15×add-cube-cbrt_binary64_16481
distribute-lft-out_binary64_16397
associate-/r*_binary64_16390
distribute-lft-out--_binary64_16398
associate-/l*_binary64_16391
add-exp-log_binary64_16484 add-cbrt-cube_binary64_16482
associate-/l/_binary64_16393 associate-/r/_binary64_16392
clear-num_binary64_16445 cbrt-undiv_binary64_16480 pow1_binary64_16507 div-inv_binary64_16443 add-log-exp_binary64_16485 flip3-+_binary64_16449 flip-+_binary64_16420 flip3--_binary64_16450 frac-2neg_binary64_16457 div-exp_binary64_16497 flip--_binary64_16421
Counts
1 → 60
Calls

1 calls:

16.0ms
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

series44.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

44.0ms
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

simplify86.0ms (2.5%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049471444
149471444

prune66.0ms (2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New55863
Fresh000
Picked101
Done000
Total56864
Error
4.8b
Counts
64 → 8
Compiler

Compiled 1287 to 550 computations (57.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.6b
(/.f64 1 (-.f64 1 (/.f64 y z)))
5.6b
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

rewrite40.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt_binary64_16468
64×times-frac_binary64_16452
59×*-un-lft-identity_binary64_16446
30×associate-*r*_binary64_16386
28×add-cube-cbrt_binary64_16481 difference-of-squares_binary64_16415
15×add-exp-log_binary64_16484
add-cbrt-cube_binary64_16482
associate-/r*_binary64_16390
distribute-lft-out--_binary64_16398
pow1_binary64_16507
prod-exp_binary64_16495 associate-/r/_binary64_16392 div-exp_binary64_16497 associate-*l*_binary64_16387
unswap-sqr_binary64_16414 associate-/l*_binary64_16391
cbrt-undiv_binary64_16480 1-exp_binary64_16490 cbrt-unprod_binary64_16479 div-inv_binary64_16443 add-log-exp_binary64_16485 flip3-+_binary64_16449 rec-exp_binary64_16496 flip-+_binary64_16420 associate-*l/_binary64_16389 flip3--_binary64_16450 flip--_binary64_16421 frac-times_binary64_16456
associate-*r/_binary64_16388 clear-num_binary64_16445 pow-flip_binary64_16520 distribute-lft-out_binary64_16397 pow-prod-down_binary64_16517 *-commutative_binary64_16377 un-div-inv_binary64_16444 inv-pow_binary64_16531 frac-2neg_binary64_16457
Counts
2 → 111
Calls

2 calls:

21.0ms
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
9.0ms
(/.f64 1 (-.f64 1 (/.f64 y z)))

series70.0ms (2.1%)

Counts
2 → 6
Calls

2 calls:

45.0ms
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
24.0ms
(/.f64 1 (-.f64 1 (/.f64 y z)))

simplify82.0ms (2.4%)

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
055101948

prune105.0ms (3.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1170117
Fresh077
Picked011
Done000
Total1178125
Error
4.8b
Counts
125 → 8
Compiler

Compiled 2216 to 1147 computations (48.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
6.5b
(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

rewrite60.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
316×times-frac_binary64_16452
275×add-sqr-sqrt_binary64_16468
273×*-un-lft-identity_binary64_16446
107×add-cube-cbrt_binary64_16481
84×difference-of-squares_binary64_16415
42×associate-/r*_binary64_16390
41×distribute-lft-out_binary64_16397
21×distribute-lft-out--_binary64_16398
15×add-exp-log_binary64_16484
11×associate-/l*_binary64_16391 associate-/r/_binary64_16392
add-cbrt-cube_binary64_16482
div-exp_binary64_16497
div-inv_binary64_16443
flip3-+_binary64_16449 flip-+_binary64_16420
cbrt-undiv_binary64_16480
pow1_binary64_16507
clear-num_binary64_16445 1-exp_binary64_16490 associate-/l/_binary64_16393 add-log-exp_binary64_16485 rec-exp_binary64_16496 frac-2neg_binary64_16457
div-sub_binary64_16451 pow-flip_binary64_16520 inv-pow_binary64_16531 flip3--_binary64_16450 flip--_binary64_16421
Counts
2 → 237
Calls

2 calls:

18.0ms
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
15.0ms
(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

series112.0ms (3.3%)

Counts
2 → 6
Calls

2 calls:

79.0ms
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
33.0ms
(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

simplify122.0ms (3.6%)

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
053616453

prune245.0ms (7.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2421243
Fresh066
Picked011
Done011
Total2429251
Error
4.8b
Counts
251 → 9
Compiler

Compiled 5298 to 2346 computations (55.7% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (/.f64 y z) (/.f64 y z))
4.1b
(/.f64 (+.f64 x y) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
12.0b
(*.f64 (/.f64 (+.f64 x y) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))

rewrite55.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity_binary64_16446
81×times-frac_binary64_16452
79×add-sqr-sqrt_binary64_16468
53×add-cube-cbrt_binary64_16481
39×associate-*l*_binary64_16387
22×add-exp-log_binary64_16484 add-cbrt-cube_binary64_16482
18×difference-of-squares_binary64_16415
17×associate-*r*_binary64_16386
13×swap-sqr_binary64_16413
12×distribute-lft-out_binary64_16397 pow1_binary64_16507
cbrt-undiv_binary64_16480 unswap-sqr_binary64_16414 cbrt-unprod_binary64_16479 div-inv_binary64_16443 prod-exp_binary64_16495 div-exp_binary64_16497
associate-/r*_binary64_16390
associate-/l*_binary64_16391 associate-/r/_binary64_16392
associate-*r/_binary64_16388 add-log-exp_binary64_16485 flip3-+_binary64_16449 flip-+_binary64_16420 frac-times_binary64_16456
associate-/l/_binary64_16393 pow-prod-down_binary64_16517 *-commutative_binary64_16377 associate-*l/_binary64_16389 flip3--_binary64_16450 flip--_binary64_16421
pow-sqr_binary64_16419 clear-num_binary64_16445 pow-plus_binary64_16509 distribute-rgt-in_binary64_16396 pow2_binary64_16527 distribute-lft-in_binary64_16395 frac-2neg_binary64_16457 pow-prod-up_binary64_16516
Counts
3 → 164
Calls

3 calls:

18.0ms
(*.f64 (/.f64 (+.f64 x y) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))
10.0ms
(*.f64 (/.f64 y z) (/.f64 y z))
8.0ms
(/.f64 (+.f64 x y) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))

series180.0ms (5.3%)

Counts
3 → 9
Calls

3 calls:

88.0ms
(*.f64 (/.f64 (+.f64 x y) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))
65.0ms
(/.f64 (+.f64 x y) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
26.0ms
(*.f64 (/.f64 y z) (/.f64 y z))

simplify112.0ms (3.3%)

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049663590
149663590

prune182.0ms (5.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1730173
Fresh066
Picked011
Done022
Total1739182
Error
4.8b
Counts
182 → 9
Compiler

Compiled 4426 to 1883 computations (57.5% saved)

regimes246.0ms (7.3%)

Accuracy

Total 0.7b remaining (12%)

Threshold costs 0.7b (12%)

Compiler

Compiled 2437 to 1714 computations (29.7% saved)

bsearch1.0ms (0%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06291
16291

end0.0ms (0%)

sample977.0ms (29%)

Algorithm
intervals
Results
253.0ms7998×body128valid
0.0msbody1024valid
0.0msbody512valid
Compiler

Compiled 682 to 464 computations (32% saved)

Profiling

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