Details

Time bar (total: 25.6s)

analyze10.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 21 to 17 computations (19% saved)

sample35.0ms (0.1%)

Algorithm
intervals
Results
25.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify386.0ms (1.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (232.0ms)

IterNodesCost
0484328
1484328

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.0b
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite94.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821
22×associate-*r/_binary64_1725
18×flip3--_binary64_1787 sqrt-div_binary64_1800 flip--_binary64_1758
17×add-sqr-sqrt_binary64_1805
16×pow1_binary64_1844
12×*-un-lft-identity_binary64_1783 frac-times_binary64_1793
11×add-cube-cbrt_binary64_1818
10×cbrt-unprod_binary64_1816 prod-exp_binary64_1832 associate-*r*_binary64_1723
associate-*l*_binary64_1724
associate-/r/_binary64_1729
pow-prod-down_binary64_1854
associate-*l/_binary64_1726
sqrt-prod_binary64_1799 add-log-exp_binary64_1822
associate-/l*_binary64_1728 times-frac_binary64_1789 cbrt-undiv_binary64_1817 *-commutative_binary64_1714 div-exp_binary64_1834 unswap-sqr_binary64_1751
difference-of-squares_binary64_1752
div-inv_binary64_1780 associate-/r*_binary64_1727 frac-2neg_binary64_1794 clear-num_binary64_1782
Counts
4 → 108
Calls

4 calls:

23.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
21.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
19.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
12.0ms
(*.f64 (*.f64 v v) 6)

series310.0ms (1.2%)

Counts
4 → 12
Calls

4 calls:

105.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
102.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
67.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
36.0ms
(*.f64 (*.f64 v v) 6)

simplify72.0ms (0.3%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050013300

prune1.0s (3.9%)

Pruning

37 alts after pruning (37 fresh and 0 done)

PrunedKeptTotal
New8337120
Fresh101
Picked101
Done000
Total8537122

Merged error: 0b

Counts
122 → 37
Compiler

Compiled 4697 to 3279 computations (30.2% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (pow.f64 v 6) 216)
0.2b
(*.f64 (*.f64 v v) 6)
0.2b
(*.f64 (*.f64 v v) 6)
0.2b
(*.f64 (*.f64 v v) 6)

rewrite36.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
24×add-exp-log_binary64_1821
21×add-cbrt-cube_binary64_1819
19×pow1_binary64_1844
18×add-sqr-sqrt_binary64_1805
12×prod-exp_binary64_1832 associate-*r*_binary64_1723
10×add-cube-cbrt_binary64_1818 cbrt-unprod_binary64_1816 associate-*l*_binary64_1724 *-un-lft-identity_binary64_1783
pow-prod-down_binary64_1854
unswap-sqr_binary64_1751
unpow-prod-down_binary64_1862 *-commutative_binary64_1714 add-log-exp_binary64_1822
sqr-pow_binary64_1755
pow-to-exp_binary64_1852 pow-exp_binary64_1851
Counts
4 → 82
Calls

4 calls:

6.0ms
(*.f64 (*.f64 v v) 6)
6.0ms
(*.f64 (*.f64 v v) 6)
6.0ms
(*.f64 (*.f64 v v) 6)
6.0ms
(*.f64 (pow.f64 v 6) 216)

series95.0ms (0.4%)

Counts
4 → 12
Calls

4 calls:

33.0ms
(*.f64 (pow.f64 v 6) 216)
23.0ms
(*.f64 (*.f64 v v) 6)
19.0ms
(*.f64 (*.f64 v v) 6)
19.0ms
(*.f64 (*.f64 v v) 6)

simplify88.0ms (0.3%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04862800
14862800

prune1.3s (4.9%)

Pruning

46 alts after pruning (45 fresh and 1 done)

PrunedKeptTotal
New841094
Fresh13536
Picked011
Done000
Total8546131

Merged error: 0b

Counts
131 → 46
Compiler

Compiled 7894 to 5325 computations (32.5% saved)

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 v v) 6)
0.4b
(*.f64 (*.f64 v v) 216)
21.6b
(cbrt.f64 (pow.f64 v 6))
21.6b
(cbrt.f64 (pow.f64 v 6))

rewrite32.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 cbrt-prod_binary64_1814 pow1_binary64_1844
12×add-sqr-sqrt_binary64_1805
10×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
cbrt-unprod_binary64_1816 prod-exp_binary64_1832 unpow-prod-down_binary64_1862 pow-prod-down_binary64_1854 associate-*r*_binary64_1723
add-log-exp_binary64_1822
sqr-pow_binary64_1755 associate-*l*_binary64_1724 *-commutative_binary64_1714 pow1/3_binary64_1865 unswap-sqr_binary64_1751
Counts
4 → 68
Calls

4 calls:

7.0ms
(*.f64 (*.f64 v v) 216)
7.0ms
(*.f64 (*.f64 v v) 6)
3.0ms
(cbrt.f64 (pow.f64 v 6))
3.0ms
(cbrt.f64 (pow.f64 v 6))

series124.0ms (0.5%)

Counts
4 → 12
Calls

4 calls:

38.0ms
(*.f64 (*.f64 v v) 6)
37.0ms
(*.f64 (*.f64 v v) 216)
30.0ms
(cbrt.f64 (pow.f64 v 6))
18.0ms
(cbrt.f64 (pow.f64 v 6))

simplify101.0ms (0.4%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04933572
14933572

prune1.7s (6.8%)

Pruning

54 alts after pruning (52 fresh and 2 done)

PrunedKeptTotal
New71980
Fresh14344
Picked011
Done011
Total7254126

Merged error: 0b

Counts
126 → 54
Compiler

Compiled 8264 to 5465 computations (33.9% saved)

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 v v) 6)
1.0b
(cbrt.f64 6)
1.0b
(cbrt.f64 6)
1.0b
(cbrt.f64 6)

rewrite40.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_1819 add-sqr-sqrt_binary64_1805 add-exp-log_binary64_1821 cbrt-prod_binary64_1814 pow1_binary64_1844
add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
add-log-exp_binary64_1822
cbrt-unprod_binary64_1816 prod-exp_binary64_1832 pow1/3_binary64_1865 pow-prod-down_binary64_1854 associate-*r*_binary64_1723
associate-*l*_binary64_1724 *-commutative_binary64_1714 unswap-sqr_binary64_1751
Counts
4 → 52
Calls

4 calls:

12.0ms
(*.f64 (*.f64 v v) 6)
3.0ms
(cbrt.f64 6)
2.0ms
(cbrt.f64 6)
2.0ms
(cbrt.f64 6)

series33.0ms (0.1%)

Counts
4 → 6
Calls

4 calls:

33.0ms
(*.f64 (*.f64 v v) 6)
0.0ms
(cbrt.f64 6)
0.0ms
(cbrt.f64 6)
0.0ms
(cbrt.f64 6)

simplify107.0ms (0.4%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
05081431

prune1.6s (6.1%)

Pruning

56 alts after pruning (53 fresh and 3 done)

PrunedKeptTotal
New52658
Fresh44751
Picked011
Done022
Total5656112

Merged error: 0b

Counts
112 → 56
Compiler

Compiled 4118 to 2845 computations (30.9% saved)

regimes3.8s (14.8%)

Compiler

Compiled 49626 to 36292 computations (26.9% saved)

bsearch0.0ms (0%)

simplify8.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
015693
115693

end0.0ms (0%)

sample14.5s (56.6%)

Algorithm
intervals
Results
614.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 12155 to 8877 computations (27% saved)

Pareto

0

Profiling

Loading profile data...