Details

Time bar (total: 5.6s)

analyze573.0ms (10.2%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0486640
1486640
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
0%99.9%0.1%4
0%99.9%0.1%5
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample19.0ms (0.3%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms26×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify142.0ms (2.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (136.0ms)

IterNodesCost
0486410
1486410

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
11.9b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
11.4b
(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite85.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×add-sqr-sqrt_binary64_21924
10×*-un-lft-identity_binary64_21902
add-exp-log_binary64_21940 add-cbrt-cube_binary64_21938
add-cube-cbrt_binary64_21937
cancel-sign-sub-inv_binary64_21868
associate-*r*_binary64_21842
pow1_binary64_21963 associate-*r/_binary64_21844 distribute-rgt-in_binary64_21852 distribute-lft-in_binary64_21851
times-frac_binary64_21908 associate-/r*_binary64_21846 associate-*l*_binary64_21843
prod-exp_binary64_21951 div-exp_binary64_21953 add-log-exp_binary64_21941 cbrt-undiv_binary64_21936 cbrt-unprod_binary64_21935 flip3--_binary64_21906 associate-/l/_binary64_21849 flip--_binary64_21877 sub-neg_binary64_21895
frac-2neg_binary64_21913 clear-num_binary64_21901 div-inv_binary64_21899 associate-/l*_binary64_21847 pow-prod-down_binary64_21973 unswap-sqr_binary64_21870 difference-of-squares_binary64_21871 distribute-lft-out--_binary64_21854 *-commutative_binary64_21833
Counts
2 → 53
Calls

2 calls:

7.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
7.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 683 to 198 computations (71% saved)

series381.0ms (6.8%)

Error
3.1b
Counts
2 → 30
Calls

2 calls:

227.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
146.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 379 to 312 computations (17.7% saved)

simplify50.0ms (0.9%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05062790

prune57.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New75883
Fresh000
Picked101
Done000
Total76884
Error
0.0b
Counts
84 → 8
Compiler

Compiled 547 to 201 computations (63.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 y z) y)
2.0b
(*.f64 x (/.f64 (-.f64 y z) y))

rewrite113.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
41×add-sqr-sqrt_binary64_21924
36×*-un-lft-identity_binary64_21902
31×times-frac_binary64_21908
22×add-cube-cbrt_binary64_21937
19×associate-*r*_binary64_21842
add-exp-log_binary64_21940 add-cbrt-cube_binary64_21938
difference-of-squares_binary64_21871 distribute-lft-out--_binary64_21854
associate-/l*_binary64_21847
pow1_binary64_21963
associate-*l*_binary64_21843 associate-/r*_binary64_21846
div-exp_binary64_21953 prod-exp_binary64_21951 add-log-exp_binary64_21941 cbrt-unprod_binary64_21935 cbrt-undiv_binary64_21936 unswap-sqr_binary64_21870 div-inv_binary64_21899 associate-/l/_binary64_21849
pow-prod-down_binary64_21973 associate-*r/_binary64_21844 *-commutative_binary64_21833 frac-2neg_binary64_21913 div-sub_binary64_21907 clear-num_binary64_21901 flip3--_binary64_21906 flip--_binary64_21877
Counts
2 → 76
Calls

2 calls:

14.0ms
(*.f64 x (/.f64 (-.f64 y z) y))
6.0ms
(/.f64 (-.f64 y z) y)
Compiler

Compiled 1017 to 242 computations (76.2% saved)

series348.0ms (6.2%)

Error
0.0b
Counts
2 → 27
Calls

2 calls:

224.0ms
(*.f64 x (/.f64 (-.f64 y z) y))
115.0ms
(/.f64 (-.f64 y z) y)
Compiler

Compiled 303 to 278 computations (8.3% saved)

simplify67.0ms (1.2%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050761200

prune93.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1003103
Fresh347
Picked011
Done000
Total1038111
Error
0b
Counts
111 → 8
Compiler

Compiled 959 to 307 computations (68% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (-.f64 y z) (/.f64 1 y))
2.0b
(*.f64 x (*.f64 (-.f64 y z) (/.f64 1 y)))

rewrite118.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
26×add-exp-log_binary64_21940
20×add-sqr-sqrt_binary64_21924
16×add-cbrt-cube_binary64_21938
14×*-un-lft-identity_binary64_21902 associate-*r*_binary64_21842
13×prod-exp_binary64_21951
11×add-cube-cbrt_binary64_21937 times-frac_binary64_21908
pow1_binary64_21963
associate-*r/_binary64_21844 associate-*l*_binary64_21843
cbrt-unprod_binary64_21935
pow-prod-down_binary64_21973 div-exp_binary64_21953 flip3--_binary64_21906 frac-times_binary64_21912 flip--_binary64_21877 associate-*l/_binary64_21845
unswap-sqr_binary64_21870
1-exp_binary64_21946 rec-exp_binary64_21952 add-log-exp_binary64_21941 cbrt-undiv_binary64_21936 un-div-inv_binary64_21900 *-commutative_binary64_21833
difference-of-squares_binary64_21871 distribute-lft-out--_binary64_21854 div-inv_binary64_21899
Counts
2 → 70
Calls

2 calls:

10.0ms
(*.f64 (-.f64 y z) (/.f64 1 y))
10.0ms
(*.f64 x (*.f64 (-.f64 y z) (/.f64 1 y)))
Compiler

Compiled 1076 to 508 computations (52.8% saved)

series346.0ms (6.2%)

Error
0b
Counts
2 → 27
Calls

2 calls:

221.0ms
(*.f64 x (*.f64 (-.f64 y z) (/.f64 1 y)))
115.0ms
(*.f64 (-.f64 y z) (/.f64 1 y))
Compiler

Compiled 303 to 278 computations (8.3% saved)

simplify61.0ms (1.1%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05784985

prune83.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New96197
Fresh156
Picked011
Done011
Total978105
Error
0b
Counts
105 → 8
Compiler

Compiled 778 to 345 computations (55.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
1.0b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (/.f64 z y)) (cbrt.f64 x)))
1.3b
(*.f64 (-.f64 1 (/.f64 z y)) (cbrt.f64 x))

rewrite116.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
21×add-sqr-sqrt_binary64_21924
18×pow1_binary64_21963 add-exp-log_binary64_21940
13×*-un-lft-identity_binary64_21902
11×add-cbrt-cube_binary64_21938
10×cbrt-prod_binary64_21933
pow-prod-down_binary64_21973 prod-exp_binary64_21951 add-cube-cbrt_binary64_21937 cbrt-unprod_binary64_21935 associate-*l*_binary64_21843
associate-*r*_binary64_21842
add-log-exp_binary64_21941 associate-*l/_binary64_21845 difference-of-squares_binary64_21871
unswap-sqr_binary64_21870 flip3--_binary64_21906 flip--_binary64_21877 times-frac_binary64_21908 *-commutative_binary64_21833 associate-*r/_binary64_21844 pow1/3_binary64_21984
distribute-lft-out--_binary64_21854
Counts
4 → 75
Calls

4 calls:

15.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (/.f64 z y)) (cbrt.f64 x)))
12.0ms
(*.f64 (-.f64 1 (/.f64 z y)) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1494 to 541 computations (63.8% saved)

series1.1s (19.3%)

Error
0b
Counts
4 → 36
Calls

4 calls:

585.0ms
(*.f64 (-.f64 1 (/.f64 z y)) (cbrt.f64 x))
234.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (/.f64 z y)) (cbrt.f64 x)))
125.0ms
(cbrt.f64 x)
120.0ms
(cbrt.f64 x)
Compiler

Compiled 907 to 707 computations (22.1% saved)

simplify68.0ms (1.2%)

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049411177
149411177

prune78.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh055
Picked011
Done022
Total1118119
Error
0b
Counts
119 → 8
Compiler

Compiled 1192 to 460 computations (61.4% saved)

regimes976.0ms (17.4%)

Accuracy

Total 2.4b remaining (99.1%)

Threshold costs 0b (0%)

Compiler

Compiled 6285 to 4943 computations (21.4% saved)

bsearch4.0ms (0.1%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06552
16552

end5.0ms (0.1%)

Compiler

Compiled 35 to 18 computations (48.6% saved)

sample713.0ms (12.7%)

Algorithm
intervals
Results
229.0ms8000×body128valid
20.0ms744×body128invalid
Compiler

Compiled 161 to 122 computations (24.2% saved)

Profiling

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