Details

Time bar (total: 4.5s)

analyze268.0ms (6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14
Compiler

Compiled 30 to 24 computations (20% saved)

sample44.0ms (1%)

Algorithm
1×intervals
Results
14.0ms122×body256valid
9.0ms284×pre128true
5.0ms37×body512valid
5.0ms97×body128valid
1.0ms28×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify356.0ms (7.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (268.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 50.7b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.1b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.2b
(*.f64 (*.f64 3 a) c)
24.2b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite40.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_1805
14×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 *-un-lft-identity_binary64_1783
9×pow1_binary64_1844
8×add-cube-cbrt_binary64_1818 add-log-exp_binary64_1822
6×difference-of-squares_binary64_1752 associate-/l*_binary64_1728 times-frac_binary64_1789
4×cbrt-unprod_binary64_1816 prod-exp_binary64_1832 cancel-sign-sub-inv_binary64_1749
3×flip3--_binary64_1787 distribute-lft-out--_binary64_1735 sqrt-prod_binary64_1799 pow-prod-down_binary64_1854 flip--_binary64_1758 associate-*r*_binary64_1723
2×associate-/l/_binary64_1730 diff-log_binary64_1875 cbrt-undiv_binary64_1817 div-exp_binary64_1834 sub-neg_binary64_1776
1×div-sub_binary64_1788 div-inv_binary64_1780 associate-/r*_binary64_1727 associate-*l*_binary64_1724 *-commutative_binary64_1714 frac-2neg_binary64_1794 clear-num_binary64_1782
Counts
4 → 77
Calls

4 calls:

12.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
5.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series219.0ms (4.9%)

Counts
4 → 12
Calls

4 calls:

109.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
62.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
33.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
14.0ms
(*.f64 (*.f64 3 a) c)

simplify60.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051801823

prune129.0ms (2.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh000
Picked101
Done000
Total781290

Merged error: 3.3b

Counts
90 → 12
Compiler

Compiled 2317 to 1408 computations (39.2% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune15.0ms (0.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01111
Picked011
Done000
Total01212

Merged error: 3.3b

Counts
12 → 12
Compiler

Compiled 336 to 241 computations (28.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.3b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite28.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
49×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821
17×cbrt-unprod_binary64_1816 prod-exp_binary64_1832
16×cbrt-undiv_binary64_1817 div-exp_binary64_1834
10×add-sqr-sqrt_binary64_1805
8×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
7×times-frac_binary64_1789 associate-*r*_binary64_1723
5×pow1_binary64_1844
4×associate-/r*_binary64_1727
3×div-inv_binary64_1780 associate-*l*_binary64_1724 add-log-exp_binary64_1822
2×associate-*r/_binary64_1725 associate-/l*_binary64_1728 frac-2neg_binary64_1794 clear-num_binary64_1782
1×associate-/l/_binary64_1730 *-commutative_binary64_1714 pow-prod-down_binary64_1854 unswap-sqr_binary64_1751
Counts
3 → 78
Calls

3 calls:

9.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
4.0ms
(/.f64 (*.f64 a c) b)

series61.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

23.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
20.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
18.0ms
(/.f64 (*.f64 a c) b)

simplify52.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04962874
14962874

prune88.0ms (2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New81687
Fresh01010
Picked101
Done011
Total821799

Merged error: 3.2b

Counts
99 → 17
Compiler

Compiled 1501 to 856 computations (43% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 a (sqrt.f64 b))
0.3b
(*.f64 -3/2 (/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b)))
0.3b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b))) (*.f64 3 a))
0.3b
(/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b))

rewrite50.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
74×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821
31×times-frac_binary64_1789
29×add-sqr-sqrt_binary64_1805
27×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783 cbrt-undiv_binary64_1817 div-exp_binary64_1834
25×cbrt-unprod_binary64_1816 prod-exp_binary64_1832
21×sqrt-prod_binary64_1799
13×associate-/r*_binary64_1727
10×associate-*r*_binary64_1723
6×pow1_binary64_1844
5×associate-/l*_binary64_1728
4×div-inv_binary64_1780 add-log-exp_binary64_1822
3×associate-*r/_binary64_1725 associate-*l*_binary64_1724 frac-2neg_binary64_1794 clear-num_binary64_1782
2×associate-/l/_binary64_1730
1×*-commutative_binary64_1714 pow-prod-down_binary64_1854 unswap-sqr_binary64_1751
Counts
4 → 135
Calls

4 calls:

13.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b))) (*.f64 3 a))
12.0ms
(*.f64 -3/2 (/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b)))
9.0ms
(/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b))
4.0ms
(/.f64 a (sqrt.f64 b))

series178.0ms (4%)

Counts
4 → 12
Calls

4 calls:

55.0ms
(/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b))
52.0ms
(*.f64 -3/2 (/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b)))
40.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b))) (*.f64 3 a))
31.0ms
(/.f64 a (sqrt.f64 b))

simplify85.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049871995
149871995

prune118.0ms (2.6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1407147
Fresh11415
Picked101
Done011
Total14222164

Merged error: 3.2b

Counts
164 → 22
Compiler

Compiled 2498 to 1107 computations (55.7% saved)

regimes460.0ms (10.3%)

Compiler

Compiled 5556 to 4121 computations (25.8% saved)

bsearch3.0ms (0.1%)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08781
18781

end0.0ms (0%)

sample2.2s (48.7%)

Algorithm
1×intervals
Results
381.0ms3874×body256valid
271.0ms8784×pre128true
206.0ms1459×body512valid
137.0ms2667×body128valid
38.0ms784×body128nan
Compiler

Compiled 1186 to 874 computations (26.3% saved)

Profiling

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