Details

Time bar (total: 8.8s)

analyze1.8s (19.9%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514149
044
144
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
0%99.8%0.2%8
5.8%94%0.2%9
7.6%92.2%0.2%10
11.6%88.2%0.2%11
18.5%81.3%0.2%12
32.3%66.9%0.8%13
37%62.2%0.8%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample47.0ms (0.5%)

Algorithm
intervals
Results
16.0ms256×body128valid
3.0ms55×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify322.0ms (3.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (313.0ms)

IterNodesCost
043677
143677

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
4.6b
Counts
2 → 1
Compiler

Compiled 10 to 12 computations (-20% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.4b
(*.f64 x (/.f64 y z))

rewrite16.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_17150
13×associate-*r*_binary64_17068
10×times-frac_binary64_17134
add-cube-cbrt_binary64_17163 *-un-lft-identity_binary64_17128
add-cbrt-cube_binary64_17164 add-exp-log_binary64_17166
pow1_binary64_17189 associate-*l*_binary64_17069
cbrt-unprod_binary64_17161 prod-exp_binary64_17177 unswap-sqr_binary64_17096
associate-*r/_binary64_17070 cbrt-undiv_binary64_17162 add-log-exp_binary64_17167 div-exp_binary64_17179 *-commutative_binary64_17059 pow-prod-down_binary64_17199 div-inv_binary64_17125
Counts
1 → 32
Calls

1 calls:

12.0ms
(*.f64 x (/.f64 y z))

series181.0ms (2%)

Counts
1 → 9
Calls

1 calls:

181.0ms
(*.f64 x (/.f64 y z))
Compiler

Compiled 90 to 108 computations (-20% saved)

simplify163.0ms (1.8%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (146.0ms)

IterNodesCost
04985390
14985390

prune71.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New311041
Fresh000
Picked011
Done000
Total311142
Error
0.0b
Counts
42 → 11
Compiler

Compiled 487 to 174 computations (64.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.2b
(/.f64 (*.f64 x y) z)

rewrite10.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_17164 add-exp-log_binary64_17166
add-cube-cbrt_binary64_17163 add-sqr-sqrt_binary64_17150 times-frac_binary64_17134 *-un-lft-identity_binary64_17128 associate-/r*_binary64_17072
cbrt-undiv_binary64_17162 div-exp_binary64_17179
clear-num_binary64_17127 cbrt-unprod_binary64_17161 pow1_binary64_17189 prod-exp_binary64_17177 associate-/l*_binary64_17073 frac-2neg_binary64_17139 add-log-exp_binary64_17167 div-inv_binary64_17125
Counts
1 → 21
Calls

1 calls:

8.0ms
(/.f64 (*.f64 x y) z)

series179.0ms (2%)

Counts
1 → 9
Calls

1 calls:

179.0ms
(/.f64 (*.f64 x y) z)
Compiler

Compiled 90 to 108 computations (-20% saved)

simplify185.0ms (2.1%)

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (170.0ms)

IterNodesCost
04671261
14671261

prune38.0ms (0.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New29130
Fresh279
Picked011
Done011
Total311041
Error
0b
Counts
41 → 10
Compiler

Compiled 310 to 119 computations (61.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.6b
(/.f64 x (/.f64 z y))

rewrite20.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64_17134
43×add-cube-cbrt_binary64_17163 add-sqr-sqrt_binary64_17150 *-un-lft-identity_binary64_17128
13×associate-/r*_binary64_17072
add-cbrt-cube_binary64_17164 add-exp-log_binary64_17166
div-inv_binary64_17125
cbrt-undiv_binary64_17162 associate-/l*_binary64_17073 div-exp_binary64_17179
clear-num_binary64_17127 associate-/r/_binary64_17074 pow1_binary64_17189 frac-2neg_binary64_17139 add-log-exp_binary64_17167
Counts
1 → 70
Calls

1 calls:

10.0ms
(/.f64 x (/.f64 z y))

series162.0ms (1.8%)

Counts
1 → 9
Calls

1 calls:

162.0ms
(/.f64 x (/.f64 z y))
Compiler

Compiled 90 to 108 computations (-20% saved)

simplify196.0ms (2.2%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (165.0ms)

IterNodesCost
050701244

prune91.0ms (1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New77279
Fresh437
Picked011
Done022
Total81889
Error
0b
Counts
89 → 8
Compiler

Compiled 1002 to 236 computations (76.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.4b
(*.f64 x (/.f64 y z))
9.8b
(cbrt.f64 (*.f64 x (/.f64 y z)))
9.8b
(cbrt.f64 (*.f64 x (/.f64 y z)))
9.8b
(cbrt.f64 (*.f64 x (/.f64 y z)))

rewrite45.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_17150
13×associate-*r*_binary64_17068
12×add-cube-cbrt_binary64_17163 *-un-lft-identity_binary64_17128
10×times-frac_binary64_17134
add-cbrt-cube_binary64_17164 add-exp-log_binary64_17166
pow1_binary64_17189
associate-*r/_binary64_17070 add-log-exp_binary64_17167
pow1/3_binary64_17210 cbrt-prod_binary64_17159 cbrt-div_binary64_17160 associate-*l*_binary64_17069
cbrt-unprod_binary64_17161 prod-exp_binary64_17177 unswap-sqr_binary64_17096
cbrt-undiv_binary64_17162 div-exp_binary64_17179 *-commutative_binary64_17059 pow-prod-down_binary64_17199 div-inv_binary64_17125
Counts
4 → 62
Calls

4 calls:

14.0ms
(*.f64 x (/.f64 y z))
7.0ms
(cbrt.f64 (*.f64 x (/.f64 y z)))
7.0ms
(cbrt.f64 (*.f64 x (/.f64 y z)))
7.0ms
(cbrt.f64 (*.f64 x (/.f64 y z)))

series1.9s (21.1%)

Counts
4 → 36
Calls

4 calls:

600.0ms
(cbrt.f64 (*.f64 x (/.f64 y z)))
570.0ms
(cbrt.f64 (*.f64 x (/.f64 y z)))
528.0ms
(cbrt.f64 (*.f64 x (/.f64 y z)))
171.0ms
(*.f64 x (/.f64 y z))
Compiler

Compiled 1782 to 1188 computations (33.3% saved)

simplify187.0ms (2.1%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (153.0ms)

IterNodesCost
049631003
149631003

prune128.0ms (1.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New98098
Fresh044
Picked011
Done033
Total988106
Error
0b
Counts
106 → 8
Compiler

Compiled 2274 to 299 computations (86.9% saved)

regimes936.0ms (10.6%)

Accuracy

Total 0.7b remaining (99.7%)

Threshold costs 0.7b (99.7%)

Compiler

Compiled 2016 to 1683 computations (16.5% saved)

bsearch2.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

simplify20.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03166
13166
Compiler

Compiled 90 to 50 computations (44.4% saved)

end0.0ms (0%)

sample2.2s (24.5%)

Algorithm
intervals
Results
536.0ms8000×body128valid
97.0ms1501×body128invalid
Compiler

Compiled 385 to 279 computations (27.5% saved)

Profiling

Loading profile data...