Details

Time bar (total: 2.8s)

analyze354.0ms (12.8%)

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
0%99.9%0.1%4
0%99.9%0.1%5
21.8%78%0.1%6
26.5%73.3%0.1%7
32%67.9%0.1%8
46.4%52.7%0.9%9
50.9%47.2%1.9%10
54.3%43.3%2.4%11
62.1%32.5%5.4%12
64.3%28.1%7.6%13
66.3%24.6%9.2%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample20.0ms (0.7%)

Algorithm
intervals
Results
10.0ms256×body128valid
1.0ms32×body128invalid
Compiler

Compiled 25 to 24 computations (4% saved)

simplify141.0ms (5.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
073815
173815

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Compiler

Compiled 32 to 28 computations (12.5% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (+.f64 x 4) y)
0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
3.7b
(*.f64 (/.f64 x y) z)

rewrite27.0ms (1%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_78
25×add-sqr-sqrt_binary64_100
22×times-frac_binary64_84
20×add-cube-cbrt_binary64_113
13×associate-*l*_binary64_19
10×add-cbrt-cube_binary64_114 add-exp-log_binary64_116
add-log-exp_binary64_117 pow1_binary64_139
associate-/l*_binary64_23 distribute-lft-out_binary64_29
associate-*r*_binary64_18 associate-*l/_binary64_21 associate-/r*_binary64_22
cbrt-unprod_binary64_111 cbrt-undiv_binary64_112 prod-exp_binary64_127 div-exp_binary64_129 div-inv_binary64_75 unswap-sqr_binary64_46 associate-/l/_binary64_25
*-commutative_binary64_9 flip-+_binary64_52 frac-sub_binary64_87 flip3--_binary64_82 diff-log_binary64_170 frac-2neg_binary64_89 flip--_binary64_53 pow-prod-down_binary64_149 clear-num_binary64_77 cancel-sign-sub-inv_binary64_44 sub-div_binary64_85 sub-neg_binary64_71 flip3-+_binary64_81
Counts
3 → 79
Calls

3 calls:

9.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
6.0ms
(*.f64 (/.f64 x y) z)
5.0ms
(/.f64 (+.f64 x 4) y)

series81.0ms (2.9%)

Counts
3 → 9
Calls

3 calls:

38.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
22.0ms
(*.f64 (/.f64 x y) z)
20.0ms
(/.f64 (+.f64 x 4) y)

simplify81.0ms (2.9%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049261165
149261165

prune89.0ms (3.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New83588
Fresh011
Picked101
Done000
Total84690
Error
0b
Counts
90 → 6
Compiler

Compiled 1633 to 811 computations (50.3% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
3.6b
(*.f64 (/.f64 x y) (-.f64 1 z))

rewrite25.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt_binary64_100
17×*-un-lft-identity_binary64_78
14×add-cube-cbrt_binary64_113
13×associate-*l*_binary64_19
12×cancel-sign-sub-inv_binary64_44
10×times-frac_binary64_84
distribute-lft-in_binary64_27 associate-+r+_binary64_10 distribute-rgt-in_binary64_28
add-cbrt-cube_binary64_114 add-exp-log_binary64_116
associate-*r*_binary64_18
frac-add_binary64_86
add-log-exp_binary64_117 flip3--_binary64_82 frac-times_binary64_88 flip--_binary64_53 associate-*r/_binary64_20 sub-neg_binary64_71 pow1_binary64_139
cbrt-unprod_binary64_111 prod-exp_binary64_127 associate-*l/_binary64_21 unswap-sqr_binary64_46 difference-of-squares_binary64_47
+-commutative_binary64_8 *-commutative_binary64_9 cbrt-undiv_binary64_112 div-exp_binary64_129 flip-+_binary64_52 distribute-lft-out--_binary64_30 div-inv_binary64_75 pow-prod-down_binary64_149 sum-log_binary64_169 flip3-+_binary64_81
Counts
2 → 71
Calls

2 calls:

11.0ms
(*.f64 (/.f64 x y) (-.f64 1 z))
8.0ms
(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))

series75.0ms (2.7%)

Counts
2 → 6
Calls

2 calls:

41.0ms
(*.f64 (/.f64 x y) (-.f64 1 z))
34.0ms
(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))

simplify57.0ms (2.1%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050671213

prune72.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh235
Picked011
Done000
Total78583
Error
0b
Counts
83 → 5
Compiler

Compiled 1465 to 817 computations (44.2% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (+.f64 x 4) (*.f64 x z))
2.2b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite17.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
times-frac_binary64_84
add-log-exp_binary64_117
add-cbrt-cube_binary64_114 add-exp-log_binary64_116
associate-/l*_binary64_23 associate-/r*_binary64_22
flip3--_binary64_82 diff-log_binary64_170 flip--_binary64_53 associate-/l/_binary64_25 pow1_binary64_139
cbrt-undiv_binary64_112 div-exp_binary64_129 frac-2neg_binary64_89 associate--l+_binary64_15 div-inv_binary64_75 clear-num_binary64_77 cancel-sign-sub-inv_binary64_44 div-sub_binary64_83 sub-neg_binary64_71 sum-log_binary64_169
Counts
2 → 44
Calls

2 calls:

8.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
6.0ms
(-.f64 (+.f64 x 4) (*.f64 x z))

series56.0ms (2%)

Counts
2 → 6
Calls

2 calls:

40.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
15.0ms
(-.f64 (+.f64 x 4) (*.f64 x z))

simplify62.0ms (2.3%)

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04966938
14966938

prune43.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New49150
Fresh123
Picked011
Done011
Total50555
Error
0b
Counts
55 → 5
Compiler

Compiled 906 to 498 computations (45% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (+.f64 x 4) (*.f64 x z))
0.1b
(/.f64 1 (/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z))))
2.2b
(/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z)))

rewrite35.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
90×times-frac_binary64_84
55×add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
18×associate-/r*_binary64_22
16×add-exp-log_binary64_116
11×associate-/r/_binary64_24
10×add-cbrt-cube_binary64_114
add-log-exp_binary64_117 div-exp_binary64_129
flip3--_binary64_82 div-inv_binary64_75 flip--_binary64_53 associate-/l*_binary64_23
cbrt-undiv_binary64_112 pow1_binary64_139
diff-log_binary64_170 frac-2neg_binary64_89 1-exp_binary64_122 rec-exp_binary64_128 clear-num_binary64_77
inv-pow_binary64_163 associate--l+_binary64_15 pow-flip_binary64_152 cancel-sign-sub-inv_binary64_44 sub-neg_binary64_71 sum-log_binary64_169
Counts
3 → 127
Calls

3 calls:

10.0ms
(/.f64 1 (/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z))))
7.0ms
(/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z)))
6.0ms
(-.f64 (+.f64 x 4) (*.f64 x z))

series127.0ms (4.6%)

Counts
3 → 9
Calls

3 calls:

68.0ms
(/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z)))
43.0ms
(/.f64 1 (/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z))))
15.0ms
(-.f64 (+.f64 x 4) (*.f64 x z))

simplify95.0ms (3.5%)

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
054783310

prune136.0ms (5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh022
Picked011
Done022
Total1365141
Error
0b
Counts
141 → 5
Compiler

Compiled 2912 to 1677 computations (42.4% saved)

regimes202.0ms (7.3%)

Accuracy

Total 0.7b remaining (99.1%)

Threshold costs 0.7b (99.1%)

Compiler

Compiled 1906 to 1459 computations (23.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07842
17842

end0.0ms (0%)

sample911.0ms (33.1%)

Algorithm
intervals
Results
315.0ms8000×body128valid
46.0ms1131×body128invalid
Compiler

Compiled 390 to 297 computations (23.8% saved)

Profiling

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