Details

Time bar (total: 16.6s)

analyze546.0ms (3.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0493796
1493796
033
133
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)

sample40.0ms (0.2%)

Algorithm
intervals
Results
12.0ms246×body128valid
9.0ms295×pre128true
2.0ms39×body128nan
1.0ms10×body256valid
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify275.0ms (1.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (269.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
28.5b
Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 3 a) c)
0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.4b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
28.4b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite165.0ms (1%)

Algorithm
rewrite-expression-head
Error
26.5b
Rules
20×add-sqr-sqrt_binary64_1805
14×add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819 *-un-lft-identity_binary64_1783
pow1_binary64_1844
add-log-exp_binary64_1822 add-cube-cbrt_binary64_1818
difference-of-squares_binary64_1752 times-frac_binary64_1789 associate-/l*_binary64_1728
cancel-sign-sub-inv_binary64_1749 prod-exp_binary64_1832 cbrt-unprod_binary64_1816
flip3--_binary64_1787 flip--_binary64_1758 sqrt-prod_binary64_1799 distribute-lft-out--_binary64_1735 pow-prod-down_binary64_1854 associate-*r*_binary64_1723
diff-log_binary64_1875 sub-neg_binary64_1776 div-exp_binary64_1834 cbrt-undiv_binary64_1817 associate-/l/_binary64_1730
frac-2neg_binary64_1794 div-sub_binary64_1788 clear-num_binary64_1782 div-inv_binary64_1780 associate-/r*_binary64_1727 associate-*l*_binary64_1724 *-commutative_binary64_1714
Counts
4 → 77
Calls

4 calls:

12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
11.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
5.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series894.0ms (5.4%)

Error
0.8b
Counts
4 → 60
Calls

4 calls:

279.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
228.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
226.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
85.0ms
(*.f64 (*.f64 3 a) c)
Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify51.0ms (0.3%)

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
052682923

prune204.0ms (1.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New12512137
Fresh000
Picked101
Done000
Total12612138
Error
0.6b
Counts
138 → 12
Compiler

Compiled 3285 to 1837 computations (44.1% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b
(*.f64 (*.f64 a a) (pow.f64 c 3))
0.4b
(/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3))

rewrite597.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
0.6b
Rules
109×add-exp-log_binary64_1821
54×prod-exp_binary64_1832
42×add-sqr-sqrt_binary64_1805
30×div-exp_binary64_1834
29×add-cbrt-cube_binary64_1819 unpow-prod-down_binary64_1862
24×pow-to-exp_binary64_1852 pow-exp_binary64_1851
22×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
19×times-frac_binary64_1789 associate-/r*_binary64_1727 associate-*r*_binary64_1723
16×cube-prod_binary64_1811 unswap-sqr_binary64_1751
15×sqr-pow_binary64_1755
13×associate-*l*_binary64_1724
10×cbrt-unprod_binary64_1816
cbrt-undiv_binary64_1817
pow1_binary64_1844 add-log-exp_binary64_1822 unpow3_binary64_1849 cube-mult_binary64_1813
frac-2neg_binary64_1794 clear-num_binary64_1782 div-inv_binary64_1780 associate-/l*_binary64_1728 *-commutative_binary64_1714
Counts
4 → 178
Calls

4 calls:

11.0ms
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
10.0ms
(/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3))
9.0ms
(*.f64 (*.f64 a a) (pow.f64 c 3))
9.0ms
(*.f64 (pow.f64 a 3) (pow.f64 c 4))
Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series1.1s (6.8%)

Error
0.6b
Counts
4 → 30
Calls

4 calls:

409.0ms
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
329.0ms
(/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3))
165.0ms
(*.f64 (pow.f64 a 3) (pow.f64 c 4))
151.0ms
(*.f64 (*.f64 a a) (pow.f64 c 3))
Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify85.0ms (0.5%)

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050933032

prune630.0ms (3.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New2071208
Fresh01111
Picked011
Done000
Total20713220
Error
0.6b
Counts
220 → 13
Compiler

Compiled 10456 to 6512 computations (37.7% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.5b
(*.f64 (*.f64 a c) (*.f64 a c))
0.7b
(pow.f64 (*.f64 a c) 3)

rewrite629.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0.4b
Rules
83×add-exp-log_binary64_1821
46×pow1_binary64_1844
37×prod-exp_binary64_1832
32×div-exp_binary64_1834
30×pow-exp_binary64_1851
29×pow-to-exp_binary64_1852 add-cbrt-cube_binary64_1819
18×pow-prod-down_binary64_1854
11×add-cube-cbrt_binary64_1818 add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783 cbrt-unprod_binary64_1816
10×times-frac_binary64_1789 associate-*r/_binary64_1725
associate-/r*_binary64_1727
unpow-prod-down_binary64_1862 associate-/l/_binary64_1730
frac-sub_binary64_1792
add-log-exp_binary64_1822 pow-prod-up_binary64_1853 pow-sqr_binary64_1756 cbrt-undiv_binary64_1817 frac-add_binary64_1791 associate-/l*_binary64_1728
pow-unpow_binary64_1860 sqr-pow_binary64_1755
pow-pow_binary64_1855 rem-cube-cbrt_binary64_1806 pow-plus_binary64_1846 frac-2neg_binary64_1794 clear-num_binary64_1782 div-inv_binary64_1780 flip3-+_binary64_1786 flip-+_binary64_1757
unpow3_binary64_1849 cube-mult_binary64_1813 cube-prod_binary64_1811 pow2_binary64_1864 swap-sqr_binary64_1750 associate-*l*_binary64_1724 associate-*r*_binary64_1723 *-commutative_binary64_1714 div-sub_binary64_1788 flip3--_binary64_1787 flip--_binary64_1758
Counts
4 → 142
Calls

4 calls:

34.0ms
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
9.0ms
(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms
(*.f64 (*.f64 a c) (*.f64 a c))
4.0ms
(pow.f64 (*.f64 a c) 3)
Compiler

Compiled 9642 to 5747 computations (40.4% saved)

series1.3s (7.8%)

Error
0.6b
Counts
4 → 42
Calls

4 calls:

489.0ms
(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
448.0ms
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
139.0ms
(pow.f64 (*.f64 a c) 3)
132.0ms
(*.f64 (*.f64 a c) (*.f64 a c))
Compiler

Compiled 4327 to 3153 computations (27.1% saved)

simplify93.0ms (0.6%)

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050534495

prune677.0ms (4.1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1786184
Fresh11011
Picked011
Done011
Total17918197
Error
0.4b
Counts
197 → 18
Compiler

Compiled 11262 to 6854 computations (39.1% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(/.f64 (+.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7)) 405/128)) (*.f64 a 3))
0.5b
(pow.f64 (*.f64 a c) 2)
0.7b
(pow.f64 (*.f64 a c) 3)
0.9b
(pow.f64 (*.f64 a c) 4)

rewrite324.0ms (2%)

Algorithm
rewrite-expression-head
Error
0.4b
Rules
18×add-exp-log_binary64_1821
13×pow1_binary64_1844
12×add-cbrt-cube_binary64_1819
add-cube-cbrt_binary64_1818 pow-unpow_binary64_1860 add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783
pow-pow_binary64_1855 pow-exp_binary64_1851
associate-/l/_binary64_1730
prod-exp_binary64_1832 add-log-exp_binary64_1822 frac-add_binary64_1791
unpow-prod-down_binary64_1862 pow-prod-down_binary64_1854 pow-to-exp_binary64_1852 sqr-pow_binary64_1755 times-frac_binary64_1789 associate-*l/_binary64_1726 associate-/l*_binary64_1728
rem-cube-cbrt_binary64_1806 cbrt-unprod_binary64_1816 div-exp_binary64_1834 cbrt-undiv_binary64_1817 associate-*r/_binary64_1725 flip3-+_binary64_1786 flip-+_binary64_1757
unpow3_binary64_1849 cube-mult_binary64_1813 cube-prod_binary64_1811 unpow2_binary64_1848 frac-2neg_binary64_1794 clear-num_binary64_1782 div-inv_binary64_1780 associate-/r*_binary64_1727
Counts
4 → 83
Calls

4 calls:

22.0ms
(/.f64 (+.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7)) 405/128)) (*.f64 a 3))
4.0ms
(pow.f64 (*.f64 a c) 2)
4.0ms
(pow.f64 (*.f64 a c) 3)
4.0ms
(pow.f64 (*.f64 a c) 4)
Compiler

Compiled 5386 to 3315 computations (38.5% saved)

series1.5s (9.2%)

Error
0.4b
Counts
4 → 35
Calls

4 calls:

1.1s
(/.f64 (+.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7)) 405/128)) (*.f64 a 3))
147.0ms
(pow.f64 (*.f64 a c) 4)
145.0ms
(pow.f64 (*.f64 a c) 3)
107.0ms
(pow.f64 (*.f64 a c) 2)
Compiler

Compiled 4205 to 3016 computations (28.3% saved)

simplify51.0ms (0.3%)

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
051212870

prune341.0ms (2.1%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1171118
Fresh11415
Picked011
Done022
Total11818136
Error
0.4b
Counts
136 → 18
Compiler

Compiled 6426 to 3852 computations (40.1% saved)

regimes1.9s (11.8%)

Accuracy

Total 4.5b remaining (87.2%)

Threshold costs 0b (0%)

Compiler

Compiled 28041 to 19379 computations (30.9% saved)

bsearch10.0ms (0.1%)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify8.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0333143
1333143

end0.0ms (0%)

sample4.9s (29.9%)

Algorithm
intervals
Results
393.0ms7677×body128valid
285.0ms8985×pre128true
49.0ms985×body128nan
31.0ms323×body256valid
Compiler

Compiled 5525 to 3816 computations (30.9% saved)

Profiling

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