Details

Time bar (total: 7.8s)

analyze633.0ms (8.2%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0381952
1381952
033
133
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)

sample17.0ms (0.2%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify188.0ms (2.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (182.0ms)

IterNodesCost
0301913
1301913

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.1b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

7.1b
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite87.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
5.2b
Rules
55×add-sqr-sqrt_binary64_16127
53×*-un-lft-identity_binary64_16105
42×times-frac_binary64_16111
20×difference-of-squares_binary64_16074
15×add-cube-cbrt_binary64_16140
distribute-lft-out_binary64_16056
associate-/r*_binary64_16049
distribute-lft-out--_binary64_16057
associate-/l*_binary64_16050
add-exp-log_binary64_16143 add-cbrt-cube_binary64_16141
associate-/l/_binary64_16052 associate-/r/_binary64_16051
pow1_binary64_16166 div-exp_binary64_16156 add-log-exp_binary64_16144 cbrt-undiv_binary64_16139 frac-2neg_binary64_16116 clear-num_binary64_16104 div-inv_binary64_16102 flip3-+_binary64_16108 flip-+_binary64_16079 flip3--_binary64_16109 flip--_binary64_16080
Counts
1 → 60
Calls

1 calls:

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

Compiled 1216 to 500 computations (58.9% saved)

series220.0ms (2.8%)

Error
0.0b
Counts
1 → 26
Calls

1 calls:

191.0ms
(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
Compiler

Compiled 1145 to 774 computations (32.4% saved)

simplify58.0ms (0.7%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049642062
149642062

prune83.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New80686
Fresh000
Picked101
Done000
Total81687
Error
0.9b
Counts
87 → 6
Compiler

Compiled 1638 to 648 computations (60.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 1 (-.f64 1 (/.f64 y z)))
6.7b
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

rewrite148.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.9b
Rules
91×add-sqr-sqrt_binary64_16127
64×times-frac_binary64_16111
59×*-un-lft-identity_binary64_16105
30×associate-*r*_binary64_16045
28×add-cube-cbrt_binary64_16140 difference-of-squares_binary64_16074
15×add-exp-log_binary64_16143
add-cbrt-cube_binary64_16141
associate-/r*_binary64_16049
distribute-lft-out--_binary64_16057
pow1_binary64_16166
div-exp_binary64_16156 prod-exp_binary64_16154 associate-*l*_binary64_16046 associate-/r/_binary64_16051
unswap-sqr_binary64_16073 associate-/l*_binary64_16050
1-exp_binary64_16149 rec-exp_binary64_16155 add-log-exp_binary64_16144 cbrt-unprod_binary64_16138 cbrt-undiv_binary64_16139 flip3-+_binary64_16108 frac-times_binary64_16115 flip-+_binary64_16079 associate-*l/_binary64_16048 div-inv_binary64_16102 flip3--_binary64_16109 flip--_binary64_16080
pow-prod-down_binary64_16176 un-div-inv_binary64_16103 associate-*r/_binary64_16047 distribute-lft-out_binary64_16056 *-commutative_binary64_16036 inv-pow_binary64_16190 pow-flip_binary64_16179 frac-2neg_binary64_16116 clear-num_binary64_16104
Counts
2 → 111
Calls

2 calls:

20.0ms
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
9.0ms
(/.f64 1 (-.f64 1 (/.f64 y z)))
Compiler

Compiled 2351 to 1278 computations (45.6% saved)

series297.0ms (3.8%)

Error
0.0b
Counts
2 → 44
Calls

2 calls:

202.0ms
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
60.0ms
(/.f64 1 (-.f64 1 (/.f64 y z)))
Compiler

Compiled 1703 to 1159 computations (31.9% saved)

simplify87.0ms (1.1%)

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
052392740

prune132.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1532155
Fresh235
Picked011
Done000
Total1556161
Error
0.9b
Counts
161 → 6
Compiler

Compiled 2750 to 1283 computations (53.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x)))
7.1b
(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x))

rewrite324.0ms (4.2%)

Algorithm
rewrite-expression-head
Error
0.9b
Rules
316×times-frac_binary64_16111
275×add-sqr-sqrt_binary64_16127
273×*-un-lft-identity_binary64_16105
107×add-cube-cbrt_binary64_16140
84×difference-of-squares_binary64_16074
42×associate-/r*_binary64_16049
41×distribute-lft-out_binary64_16056
21×distribute-lft-out--_binary64_16057
15×add-exp-log_binary64_16143
11×associate-/r/_binary64_16051 associate-/l*_binary64_16050
add-cbrt-cube_binary64_16141
div-exp_binary64_16156
div-inv_binary64_16102
flip3-+_binary64_16108 flip-+_binary64_16079
cbrt-undiv_binary64_16139
pow1_binary64_16166
add-log-exp_binary64_16144 frac-2neg_binary64_16116 clear-num_binary64_16104 associate-/l/_binary64_16052 1-exp_binary64_16149 rec-exp_binary64_16155
div-sub_binary64_16110 flip3--_binary64_16109 flip--_binary64_16080 inv-pow_binary64_16190 pow-flip_binary64_16179
Counts
2 → 237
Calls

2 calls:

17.0ms
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x)))
13.0ms
(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x))
Compiler

Compiled 5936 to 2948 computations (50.3% saved)

series381.0ms (4.9%)

Error
0b
Counts
2 → 47
Calls

2 calls:

183.0ms
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x)))
155.0ms
(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x))
Compiler

Compiled 2132 to 1487 computations (30.3% saved)

simplify131.0ms (1.7%)

Algorithm
egg-herbie
Counts
284 → 284
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049687445
149687445

prune254.0ms (3.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2831284
Fresh134
Picked011
Done011
Total2846290
Error
0.0b
Counts
290 → 6
Compiler

Compiled 5911 to 2521 computations (57.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (/.f64 (+.f64 y x) (+.f64 1 (sqrt.f64 (/.f64 y z)))) (-.f64 1 (sqrt.f64 (/.f64 y z))))
0.1b
(/.f64 (+.f64 y x) (+.f64 1 (sqrt.f64 (/.f64 y z))))
10.4b
(sqrt.f64 (/.f64 y z))
10.4b
(sqrt.f64 (/.f64 y z))

rewrite763.0ms (9.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
629×*-un-lft-identity_binary64_16105
620×times-frac_binary64_16111
559×add-sqr-sqrt_binary64_16127
214×sqrt-prod_binary64_16121
176×add-cube-cbrt_binary64_16140
172×distribute-lft-out_binary64_16056
162×difference-of-squares_binary64_16074
54×distribute-lft-out--_binary64_16057
30×associate-/l*_binary64_16050
28×associate-/r/_binary64_16051
16×div-inv_binary64_16102 associate-/r*_binary64_16049
14×flip3-+_binary64_16108 flip-+_binary64_16079
11×add-exp-log_binary64_16143 add-cbrt-cube_binary64_16141
pow1_binary64_16166
add-log-exp_binary64_16144 rem-sqrt-square_binary64_16118 div-exp_binary64_16156 cbrt-undiv_binary64_16139
associate-/l/_binary64_16052
pow1/2_binary64_16185 sqrt-pow1_binary64_16123 sqrt-div_binary64_16122 frac-2neg_binary64_16116 clear-num_binary64_16104
flip3--_binary64_16109 flip--_binary64_16080
Counts
4 → 435
Calls

4 calls:

29.0ms
(/.f64 (/.f64 (+.f64 y x) (+.f64 1 (sqrt.f64 (/.f64 y z)))) (-.f64 1 (sqrt.f64 (/.f64 y z))))
11.0ms
(/.f64 (+.f64 y x) (+.f64 1 (sqrt.f64 (/.f64 y z))))
3.0ms
(sqrt.f64 (/.f64 y z))
3.0ms
(sqrt.f64 (/.f64 y z))
Compiler

Compiled 14913 to 6195 computations (58.5% saved)

series545.0ms (7%)

Error
0.0b
Counts
4 → 37
Calls

4 calls:

306.0ms
(/.f64 (/.f64 (+.f64 y x) (+.f64 1 (sqrt.f64 (/.f64 y z)))) (-.f64 1 (sqrt.f64 (/.f64 y z))))
144.0ms
(/.f64 (+.f64 y x) (+.f64 1 (sqrt.f64 (/.f64 y z))))
36.0ms
(sqrt.f64 (/.f64 y z))
35.0ms
(sqrt.f64 (/.f64 y z))
Compiler

Compiled 2105 to 1424 computations (32.4% saved)

simplify214.0ms (2.8%)

Algorithm
egg-herbie
Counts
472 → 472
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
0516218836

prune623.0ms (8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4720472
Fresh033
Picked011
Done022
Total4726478
Error
0.0b
Counts
478 → 6
Compiler

Compiled 14208 to 5451 computations (61.6% saved)

regimes891.0ms (11.5%)

Accuracy

Total 0.1b remaining (97.3%)

Threshold costs 0.1b (97.3%)

Compiler

Compiled 5346 to 3840 computations (28.2% saved)

bsearch5.0ms (0.1%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
011295
111295

end0.0ms (0%)

sample1.6s (21%)

Algorithm
intervals
Results
250.0ms7999×body128valid
0.0msbody2048valid
Compiler

Compiled 1410 to 1000 computations (29.1% saved)

Profiling

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