Details

Time bar (total: 4.7s)

analyze256.0ms (5.5%)

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)

sample32.0ms (0.7%)

Algorithm
1×intervals
Results
12.0ms249×body128valid
9.0ms292×pre128true
2.0ms36×body128nan
1.0ms7×body256valid
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify371.0ms (7.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (277.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
30.2b
Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(*.f64 (*.f64 3 a) c)
0.4b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
30.0b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite39.0ms (0.8%)

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:

13.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
9.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
6.0ms
(*.f64 (*.f64 3 a) c)
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series229.0ms (4.9%)

Counts
4 → 12
Calls

4 calls:

108.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
69.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
35.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
15.0ms
(*.f64 (*.f64 3 a) c)

simplify62.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051801823

prune123.0ms (2.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New741589
Fresh000
Picked101
Done000
Total751590
Error
9.0b
Counts
90 → 15
Compiler

Compiled 2404 to 1467 computations (39% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune22.0ms (0.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01414
Picked011
Done000
Total01515
Error
9.0b
Counts
15 → 15
Compiler

Compiled 423 to 301 computations (28.8% 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))
0.4b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite26.0ms (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)

series69.0ms (1.5%)

Counts
3 → 9
Calls

3 calls:

24.0ms
(/.f64 (*.f64 a c) b)
23.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
22.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify50.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04962874
14962874

prune102.0ms (2.2%)

Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New711687
Fresh01313
Picked101
Done101
Total7329102
Error
8.9b
Counts
102 → 29
Compiler

Compiled 1719 to 1031 computations (40% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(/.f64 b (*.f64 a c))
0.3b
(/.f64 1 (/.f64 b (*.f64 a c)))
0.3b
(*.f64 -3/2 (/.f64 1 (/.f64 b (*.f64 a c))))
0.4b
(/.f64 (*.f64 -3/2 (/.f64 1 (/.f64 b (*.f64 a c)))) (*.f64 3 a))

rewrite55.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
161×add-exp-log_binary64_1821
77×add-cbrt-cube_binary64_1819
72×div-exp_binary64_1834
69×times-frac_binary64_1789
54×prod-exp_binary64_1832
44×add-sqr-sqrt_binary64_1805
38×*-un-lft-identity_binary64_1783
37×add-cube-cbrt_binary64_1818
32×cbrt-undiv_binary64_1817
26×associate-*r*_binary64_1723
22×cbrt-unprod_binary64_1816
12×1-exp_binary64_1827 rec-exp_binary64_1833
11×div-inv_binary64_1780
9×associate-/r*_binary64_1727
7×associate-/l*_binary64_1728 pow1_binary64_1844
4×add-log-exp_binary64_1822
3×associate-*l*_binary64_1724 frac-2neg_binary64_1794 clear-num_binary64_1782 unswap-sqr_binary64_1751
2×associate-*r/_binary64_1725 associate-/l/_binary64_1730 associate-/r/_binary64_1729 un-div-inv_binary64_1781
1×inv-pow_binary64_1868 pow-flip_binary64_1857 *-commutative_binary64_1714 pow-prod-down_binary64_1854
Counts
4 → 181
Calls

4 calls:

14.0ms
(*.f64 -3/2 (/.f64 1 (/.f64 b (*.f64 a c))))
13.0ms
(/.f64 (*.f64 -3/2 (/.f64 1 (/.f64 b (*.f64 a c)))) (*.f64 3 a))
7.0ms
(/.f64 1 (/.f64 b (*.f64 a c)))
4.0ms
(/.f64 b (*.f64 a c))

series97.0ms (2.1%)

Counts
4 → 12
Calls

4 calls:

29.0ms
(*.f64 -3/2 (/.f64 1 (/.f64 b (*.f64 a c))))
24.0ms
(/.f64 1 (/.f64 b (*.f64 a c)))
23.0ms
(/.f64 (*.f64 -3/2 (/.f64 1 (/.f64 b (*.f64 a c)))) (*.f64 3 a))
20.0ms
(/.f64 b (*.f64 a c))

simplify78.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050702401

prune151.0ms (3.2%)

Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New1894193
Fresh22628
Picked011
Done000
Total19131222
Error
8.9b
Counts
222 → 31
Compiler

Compiled 2947 to 1511 computations (48.7% saved)

regimes815.0ms (17.4%)

Accuracy

Total 5.3b remaining (37.1%)

Threshold costs 0b (0%)

Compiler

Compiled 6881 to 5046 computations (26.7% saved)

bsearch4.0ms (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%)

sample2.1s (44.1%)

Algorithm
1×intervals
Results
367.0ms7668×body128valid
281.0ms8974×pre128true
45.0ms974×body128nan
31.0ms332×body256valid
Compiler

Compiled 1451 to 1059 computations (27% saved)

Profiling

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