Details

Time bar (total: 3.5s)

analyze239.0ms (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)

sample19.0ms (0.5%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify163.0ms (4.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
05613
15613

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.7b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.7b
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite25.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt_binary64_9871
53×*-un-lft-identity_binary64_9850
42×times-frac_binary64_9856
20×difference-of-squares_binary64_9819
15×add-cube-cbrt_binary64_9882
distribute-lft-out_binary64_9803
associate-/r*_binary64_9796
distribute-lft-out--_binary64_9804
associate-/l*_binary64_9797
add-exp-log_binary64_9885 add-cbrt-cube_binary64_9883
associate-/r/_binary64_9798 associate-/l/_binary64_9799
flip--_binary64_9825 clear-num_binary64_9849 pow1_binary64_9908 flip3-+_binary64_9853 div-inv_binary64_9847 div-exp_binary64_9898 frac-2neg_binary64_9861 flip-+_binary64_9824 flip3--_binary64_9854 add-log-exp_binary64_9886 cbrt-undiv_binary64_9881
Counts
1 → 60
Calls

1 calls:

14.0ms
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

series103.0ms (3%)

Counts
1 → 3
Calls

1 calls:

103.0ms
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

simplify82.0ms (2.4%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
048711444
148711444

prune385.0ms (11%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New54963
Fresh000
Picked011
Done000
Total541064

Merged error: 5.7b

Counts
64 → 10
Compiler

Compiled 1340 to 577 computations (56.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b
(/.f64 1 (-.f64 1 (/.f64 y z)))
9.1b
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

rewrite45.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt_binary64_9871
64×times-frac_binary64_9856
59×*-un-lft-identity_binary64_9850
30×associate-*r*_binary64_9792
28×add-cube-cbrt_binary64_9882 difference-of-squares_binary64_9819
15×add-exp-log_binary64_9885
add-cbrt-cube_binary64_9883
associate-/r*_binary64_9796
distribute-lft-out--_binary64_9804
pow1_binary64_9908
prod-exp_binary64_9896 associate-/r/_binary64_9798 div-exp_binary64_9898 associate-*l*_binary64_9793
unswap-sqr_binary64_9818 associate-/l*_binary64_9797
flip--_binary64_9825 flip3-+_binary64_9853 frac-times_binary64_9860 div-inv_binary64_9847 flip-+_binary64_9824 flip3--_binary64_9854 associate-*l/_binary64_9795 cbrt-unprod_binary64_9880 add-log-exp_binary64_9886 cbrt-undiv_binary64_9881 rec-exp_binary64_9897 1-exp_binary64_9891
associate-*r/_binary64_9794 clear-num_binary64_9849 *-commutative_binary64_9783 un-div-inv_binary64_9848 frac-2neg_binary64_9861 distribute-lft-out_binary64_9803 pow-prod-down_binary64_9918 pow-flip_binary64_9921 inv-pow_binary64_9932
Counts
2 → 111
Calls

2 calls:

22.0ms
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
11.0ms
(/.f64 1 (-.f64 1 (/.f64 y z)))

series156.0ms (4.5%)

Counts
2 → 6
Calls

2 calls:

103.0ms
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
52.0ms
(/.f64 1 (-.f64 1 (/.f64 y z)))

simplify67.0ms (1.9%)

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
053581948

prune108.0ms (3.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh088
Picked011
Done011
Total11710127

Merged error: 5.7b

Counts
127 → 10
Compiler

Compiled 2269 to 1174 computations (48.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
9.8b
(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

rewrite71.0ms (2%)

Algorithm
rewrite-expression-head
Rules
316×times-frac_binary64_9856
275×add-sqr-sqrt_binary64_9871
273×*-un-lft-identity_binary64_9850
107×add-cube-cbrt_binary64_9882
84×difference-of-squares_binary64_9819
42×associate-/r*_binary64_9796
41×distribute-lft-out_binary64_9803
21×distribute-lft-out--_binary64_9804
15×add-exp-log_binary64_9885
11×associate-/l*_binary64_9797 associate-/r/_binary64_9798
add-cbrt-cube_binary64_9883
div-exp_binary64_9898
div-inv_binary64_9847
flip3-+_binary64_9853 flip-+_binary64_9824
cbrt-undiv_binary64_9881
pow1_binary64_9908
clear-num_binary64_9849 frac-2neg_binary64_9861 associate-/l/_binary64_9799 add-log-exp_binary64_9886 rec-exp_binary64_9897 1-exp_binary64_9891
flip--_binary64_9825 div-sub_binary64_9855 flip3--_binary64_9854 pow-flip_binary64_9921 inv-pow_binary64_9932
Counts
2 → 237
Calls

2 calls:

19.0ms
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
13.0ms
(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

series263.0ms (7.5%)

Counts
2 → 6
Calls

2 calls:

188.0ms
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
75.0ms
(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

simplify109.0ms (3.1%)

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
051546453

prune250.0ms (7.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2394243
Fresh347
Picked101
Done022
Total24310253

Merged error: 5.7b

Counts
253 → 10
Compiler

Compiled 5336 to 2378 computations (55.4% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (+.f64 y x))
0.3b
(/.f64 1 (*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
9.8b
(*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x)))

rewrite59.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
51×add-exp-log_binary64_9885
42×*-un-lft-identity_binary64_9850
38×add-sqr-sqrt_binary64_9871
31×times-frac_binary64_9856
23×add-cube-cbrt_binary64_9882
20×div-exp_binary64_9898
19×add-cbrt-cube_binary64_9883
18×associate-*r*_binary64_9792
16×prod-exp_binary64_9896
10×associate-/r/_binary64_9798 rec-exp_binary64_9897 1-exp_binary64_9891
pow1_binary64_9908
associate-*l*_binary64_9793
distribute-lft-out_binary64_9803
associate-/l*_binary64_9797 cbrt-undiv_binary64_9881
associate-/r*_binary64_9796
flip--_binary64_9825 frac-times_binary64_9860 flip3--_binary64_9854 difference-of-squares_binary64_9819 associate-*l/_binary64_9795 cbrt-unprod_binary64_9880
div-inv_binary64_9847 unswap-sqr_binary64_9818 pow-flip_binary64_9921 add-log-exp_binary64_9886
associate-*r/_binary64_9794 clear-num_binary64_9849 flip3-+_binary64_9853 un-div-inv_binary64_9848 frac-2neg_binary64_9861 flip-+_binary64_9824 pow-prod-down_binary64_9918 inv-pow_binary64_9932
*-commutative_binary64_9783 distribute-lft-out--_binary64_9804
Counts
3 → 131
Calls

3 calls:

21.0ms
(*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x)))
17.0ms
(/.f64 1 (*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
6.0ms
(/.f64 1 (+.f64 y x))

series284.0ms (8.1%)

Counts
3 → 9
Calls

3 calls:

171.0ms
(/.f64 1 (*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
75.0ms
(*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x)))
38.0ms
(/.f64 1 (+.f64 y x))

simplify76.0ms (2.2%)

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
052641904

prune112.0ms (3.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1400140
Fresh077
Picked011
Done022
Total14010150

Merged error: 5.7b

Counts
150 → 10
Compiler

Compiled 2257 to 1161 computations (48.6% saved)

regimes144.0ms (4.1%)

Compiler

Compiled 900 to 664 computations (26.2% 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
06084
16084

end0.0ms (0%)

sample694.0ms (19.9%)

Algorithm
intervals
Results
259.0ms7997×body128valid
0.0msbody2048valid
0.0msbody1024valid
0.0msbody512valid
Compiler

Compiled 305 to 210 computations (31.1% saved)

Profiling

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