Details

Time bar (total: 5.0s)

analyze648.0ms (13%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
7.8%92%0.2%8
16.4%83.4%0.2%9
23.8%76%0.2%10
25.1%74.7%0.2%11
38.1%59.4%2.5%12
41.8%55.3%2.9%13
46.5%50.3%3.1%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample23.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
2.0ms65×body128invalid
Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify397.0ms (8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (230.0ms)

IterNodesCost
0143016
1143016

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.3b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 t (-.f64 1 z))
5.1b
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite43.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64_14926
38×*-un-lft-identity_binary64_14905
26×times-frac_binary64_14911
15×add-cube-cbrt_binary64_14937
12×difference-of-squares_binary64_14874
10×associate-*r*_binary64_14847
distribute-lft-out--_binary64_14859
associate-/r*_binary64_14851 add-cbrt-cube_binary64_14938 add-exp-log_binary64_14940
pow1_binary64_14963
associate-/l*_binary64_14852 associate-*r/_binary64_14849 associate-*l*_binary64_14848
sub-neg_binary64_14898 flip3--_binary64_14909 flip--_binary64_14880 associate-/r/_binary64_14853 add-log-exp_binary64_14941
frac-2neg_binary64_14916 pow-prod-down_binary64_14973 cbrt-unprod_binary64_14935 cbrt-undiv_binary64_14936 div-inv_binary64_14902 prod-exp_binary64_14951 unswap-sqr_binary64_14873 clear-num_binary64_14904 div-exp_binary64_14953 frac-sub_binary64_14914 distribute-rgt-in_binary64_14857 *-commutative_binary64_14838 distribute-lft-in_binary64_14856
Counts
2 → 71
Calls

2 calls:

30.0ms
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
7.0ms
(/.f64 t (-.f64 1 z))

series199.0ms (4%)

Counts
2 → 6
Calls

2 calls:

144.0ms
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
54.0ms
(/.f64 t (-.f64 1 z))

simplify59.0ms (1.2%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
053731215

prune85.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New69877
Fresh000
Picked101
Done000
Total70878

Merged error: 0.0b

Counts
78 → 8
Compiler

Compiled 1584 to 832 computations (47.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x (/.f64 y z)) (*.f64 x (neg.f64 (/.f64 t (-.f64 1 z)))))
0.0b
(/.f64 t (-.f64 1 z))
5.4b
(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
6.6b
(*.f64 x (/.f64 y z))

rewrite61.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt_binary64_14926
75×*-un-lft-identity_binary64_14905
65×associate-*r*_binary64_14847
64×times-frac_binary64_14911
45×add-cube-cbrt_binary64_14937
24×distribute-rgt-neg-in_binary64_14865 distribute-lft-neg-in_binary64_14864
20×difference-of-squares_binary64_14874
13×add-cbrt-cube_binary64_14938 add-exp-log_binary64_14940
10×distribute-lft-out--_binary64_14859
pow1_binary64_14963
associate-/r*_binary64_14851 associate-/r/_binary64_14853 associate-*l*_binary64_14848 add-log-exp_binary64_14941
div-inv_binary64_14902 associate-*r/_binary64_14849
cbrt-unprod_binary64_14935 flip3--_binary64_14909 associate-/l*_binary64_14852 prod-exp_binary64_14951 unswap-sqr_binary64_14873 flip--_binary64_14880
pow-prod-down_binary64_14973 distribute-rgt-neg-out_binary64_14867 cbrt-undiv_binary64_14936 div-exp_binary64_14953 distribute-neg-frac_binary64_14871 *-commutative_binary64_14838
flip-+_binary64_14879 sum-log_binary64_14993 frac-2neg_binary64_14916 distribute-lft-out_binary64_14858 frac-add_binary64_14913 flip3-+_binary64_14908 clear-num_binary64_14904 +-commutative_binary64_14837 neg-mul-1_binary64_14901 unsub-neg_binary64_14899
Counts
4 → 156
Calls

4 calls:

20.0ms
(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
10.0ms
(+.f64 (*.f64 x (/.f64 y z)) (*.f64 x (neg.f64 (/.f64 t (-.f64 1 z)))))
8.0ms
(*.f64 x (/.f64 y z))
7.0ms
(/.f64 t (-.f64 1 z))

series348.0ms (7%)

Counts
4 → 12
Calls

4 calls:

151.0ms
(+.f64 (*.f64 x (/.f64 y z)) (*.f64 x (neg.f64 (/.f64 t (-.f64 1 z)))))
107.0ms
(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
53.0ms
(/.f64 t (-.f64 1 z))
36.0ms
(*.f64 x (/.f64 y z))

simplify74.0ms (1.5%)

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049572352
149572352

prune173.0ms (3.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1626168
Fresh437
Picked101
Done000
Total1679176

Merged error: 0b

Counts
176 → 9
Compiler

Compiled 3629 to 1715 computations (52.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 t)
0.6b
(cbrt.f64 t)
1.0b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (neg.f64 (/.f64 (cbrt.f64 t) (-.f64 1 z))))
6.6b
(*.f64 x (/.f64 y z))

rewrite68.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
101×associate-*r*_binary64_14847
94×add-sqr-sqrt_binary64_14926
89×*-un-lft-identity_binary64_14905
82×times-frac_binary64_14911
53×add-cube-cbrt_binary64_14937
42×cbrt-prod_binary64_14933 distribute-rgt-neg-in_binary64_14865 distribute-lft-neg-in_binary64_14864
24×difference-of-squares_binary64_14874
18×add-exp-log_binary64_14940
16×add-cbrt-cube_binary64_14938
15×pow1_binary64_14963
12×distribute-lft-out--_binary64_14859
cbrt-unprod_binary64_14935 prod-exp_binary64_14951
pow-prod-down_binary64_14973
associate-/r/_binary64_14853 associate-*l*_binary64_14848 add-log-exp_binary64_14941
div-inv_binary64_14902
pow1/3_binary64_14984 flip3--_binary64_14909 unswap-sqr_binary64_14873 flip--_binary64_14880 associate-*r/_binary64_14849 *-commutative_binary64_14838
distribute-rgt-neg-out_binary64_14867 cbrt-undiv_binary64_14936 div-exp_binary64_14953 neg-mul-1_binary64_14901 distribute-neg-frac_binary64_14871
Counts
4 → 162
Calls

4 calls:

31.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (neg.f64 (/.f64 (cbrt.f64 t) (-.f64 1 z))))
8.0ms
(*.f64 x (/.f64 y z))
1.0ms
(cbrt.f64 t)
1.0ms
(cbrt.f64 t)

series495.0ms (9.9%)

Counts
4 → 12
Calls

4 calls:

161.0ms
(cbrt.f64 t)
157.0ms
(cbrt.f64 t)
141.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (neg.f64 (/.f64 (cbrt.f64 t) (-.f64 1 z))))
36.0ms
(*.f64 x (/.f64 y z))

simplify99.0ms (2%)

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049202683
149202683

prune191.0ms (3.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1740174
Fresh088
Picked011
Done000
Total1749183

Merged error: 0b

Counts
183 → 9
Compiler

Compiled 4660 to 2059 computations (55.8% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
4.6b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
5.4b
(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))

rewrite65.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt_binary64_14926
74×associate-*r*_binary64_14847
64×times-frac_binary64_14911
61×*-un-lft-identity_binary64_14905
43×add-cube-cbrt_binary64_14937
27×add-exp-log_binary64_14940
24×distribute-rgt-neg-in_binary64_14865 distribute-lft-neg-in_binary64_14864
20×add-cbrt-cube_binary64_14938
17×cbrt-prod_binary64_14933
12×difference-of-squares_binary64_14874
10×associate-*l*_binary64_14848
cbrt-unprod_binary64_14935 prod-exp_binary64_14951
pow1_binary64_14963
cbrt-undiv_binary64_14936 unswap-sqr_binary64_14873 div-exp_binary64_14953
distribute-lft-out--_binary64_14859
div-inv_binary64_14902 associate-/r/_binary64_14853 add-log-exp_binary64_14941
pow1/3_binary64_14984 pow-prod-down_binary64_14973 flip3--_binary64_14909 flip--_binary64_14880 associate-*r/_binary64_14849 *-commutative_binary64_14838
frac-times_binary64_14915 distribute-rgt-neg-out_binary64_14867 neg-mul-1_binary64_14901 associate-*l/_binary64_14850 distribute-neg-frac_binary64_14871
Counts
4 → 150
Calls

4 calls:

25.0ms
(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
19.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series534.0ms (10.7%)

Counts
4 → 12
Calls

4 calls:

167.0ms
(cbrt.f64 z)
155.0ms
(cbrt.f64 z)
106.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
106.0ms
(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))

simplify87.0ms (1.7%)

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049992137
149992137

prune165.0ms (3.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1620162
Fresh077
Picked011
Done011
Total1629171

Merged error: 0b

Counts
171 → 9
Compiler

Compiled 4163 to 1636 computations (60.7% saved)

regimes145.0ms (2.9%)

Compiler

Compiled 808 to 612 computations (24.3% saved)

bsearch72.0ms (1.5%)

Steps
ItersRangePoint
7
2.17342947788463e+244
3.633742299451661e+246
3.4122879858986516e+246
9
2.2513001720880285e+106
1.0663615580000138e+112
1.4490584958334922e+107
10
-7.233241181900403e-259
-1.080296963687244e-276
-7.990743750263743e-268
Compiler

Compiled 1 to 4 computations (-300% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0167102
1167102

end0.0ms (0%)

sample906.0ms (18.2%)

Algorithm
intervals
Results
313.0ms8000×body128valid
66.0ms1825×body128invalid
Compiler

Compiled 347 to 245 computations (29.4% saved)

Profiling

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