Details

analyze281.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5012	92
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Symmetry

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample25.0ms (0.2%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5029	46

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite171.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_1844` `add-exp-log_binary64_1821`
14×	`add-cbrt-cube_binary64_1819`
10×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
8×	`add-cube-cbrt_binary64_1818`
7×	`associate-r_binary64_1723`
6×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816`
4×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-*r/_binary64_1725`
3×	`unpow-prod-down_binary64_1862` `pow-unpow_binary64_1860`
2×	`unswap-sqr_binary64_1751` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `associate-l_binary64_1724` `*-commutative_binary64_1714` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-+r+_binary64_1715`
1×	`flip3--_binary64_1787` `flip--_binary64_1758` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `distribute-lft-out_binary64_1734` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 80

Calls

4 calls:

9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
7.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3307 to 1781 computations (46.1% saved)

series804.0ms (7.3%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

376.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
200.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
103.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
43.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3786 to 2858 computations (24.5% saved)

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5452	2616

prune198.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	3	135

Error

0.0b

Counts

135 → 3

Compiler

Compiled 4566 to 2510 computations (45% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 b b))
0.0b	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
0.7b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
1.3b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))

rewrite206.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
10×	`add-sqr-sqrt_binary64_1805`
9×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
7×	`add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `associate-r*_binary64_1723`
6×	`add-log-exp_binary64_1822`
5×	`associate-l_binary64_1724`
4×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-*r/_binary64_1725`
3×	`unswap-sqr_binary64_1751` `*-commutative_binary64_1714`
2×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `associate-+l+_binary64_1716`
1×	`flip3--_binary64_1787` `flip--_binary64_1758` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 80

Calls

4 calls:

14.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))
13.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
8.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
6.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 3631 to 2318 computations (36.2% saved)

series696.0ms (6.3%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

307.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
194.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))
108.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
26.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 3453 to 2708 computations (21.6% saved)

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5536	2198

prune217.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	119	3	122

Error

0.0b

Counts

122 → 3

Compiler

Compiled 4669 to 3039 computations (34.9% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (/.f64 (+.f64 (.f64 a a) (neg.f64 (pow.f64 a 4))) (-.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))))
0.1b	(/.f64 (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 4))) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite264.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_1805`
30×	`*-un-lft-identity_binary64_1783`
18×	`add-cube-cbrt_binary64_1818` `times-frac_binary64_1789`
12×	`add-exp-log_binary64_1821`
11×	`add-cbrt-cube_binary64_1819`
10×	`pow1_binary64_1844`
8×	`difference-of-squares_binary64_1752`
6×	`add-log-exp_binary64_1822` `associate-/r*_binary64_1727`
4×	`distribute-lft-out--_binary64_1735`
3×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-r_binary64_1723` `unpow-prod-down_binary64_1862` `pow-unpow_binary64_1860` `associate-/l*_binary64_1728`
2×	`sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `flip3--_binary64_1787` `associate-*r/_binary64_1725` `flip--_binary64_1758` `div-sub_binary64_1788` `flip3-+_binary64_1786` `associate-/l/_binary64_1730` `flip-+_binary64_1757` `associate-/r/_binary64_1729` `associate-+r+_binary64_1715`
1×	`unswap-sqr_binary64_1751` `associate-l_binary64_1724` `*-commutative_binary64_1714` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `unsub-neg_binary64_1777` `neg-sub0_binary64_1778` `associate-+r-_binary64_1717` `clear-num_binary64_1782` `div-inv_binary64_1780` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 101

Calls

4 calls:

17.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (/.f64 (+.f64 (.f64 a a) (neg.f64 (pow.f64 a 4))) (-.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))))
13.0ms	(/.f64 (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 4))) (-.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 4929 to 2845 computations (42.3% saved)

series933.0ms (8.5%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

457.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (/.f64 (+.f64 (.f64 a a) (neg.f64 (pow.f64 a 4))) (-.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))))
200.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
116.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
82.0ms	(/.f64 (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 4))) (-.f64 1 a))

Compiler

Compiled 4220 to 3200 computations (24.2% saved)

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5398	3688

prune283.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	155	3	158

Error

0.0b

Counts

158 → 3

Compiler

Compiled 6205 to 3547 computations (42.8% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
2.3b	(.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))))
4.2b	(-.f64 (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))) (pow.f64 a 8))
41.0b	(/.f64 (-.f64 (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))) (pow.f64 a 8)) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (*.f64 a 4))))) (pow.f64 a 4)))

rewrite694.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-exp-log_binary64_1821`
20×	`add-sqr-sqrt_binary64_1805`
17×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
16×	`add-cbrt-cube_binary64_1819`
12×	`prod-exp_binary64_1832` `associate-*r/_binary64_1725`
10×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
9×	`pow1_binary64_1844` `times-frac_binary64_1789` `cancel-sign-sub-inv_binary64_1749`
8×	`associate-l_binary64_1724`
7×	`unpow-prod-down_binary64_1862`
6×	`add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816` `flip3-+_binary64_1786` `flip-+_binary64_1757`
4×	`flip3--_binary64_1787` `flip--_binary64_1758` `associate--l+_binary64_1720` `unswap-sqr_binary64_1751` `frac-times_binary64_1793` `associate-r_binary64_1723`
3×	`associate-/l_binary64_1728` `associate-/r_binary64_1727` `sub-neg_binary64_1776` `sqr-pow_binary64_1755` `pow-prod-down_binary64_1854`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `associate-l/_binary64_1726` `-commutative_binary64_1714`
1×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `diff-log_binary64_1875`

Counts

4 → 118

Calls

4 calls:

41.0ms	(/.f64 (-.f64 (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))) (pow.f64 a 8)) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (*.f64 a 4))))) (pow.f64 a 4)))
29.0ms	(-.f64 (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))) (pow.f64 a 8))
25.0ms	(.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))))
8.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 10728 to 7292 computations (32% saved)

series2.1s (19.2%)

Error

0.0b

Counts

4 → 56

Calls

4 calls:

1.2s	(/.f64 (-.f64 (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))) (pow.f64 a 8)) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (*.f64 a 4))))) (pow.f64 a 4)))
334.0ms	(-.f64 (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))) (pow.f64 a 8))
279.0ms	(.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))))
127.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 9992 to 7758 computations (22.4% saved)

simplify133.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4933	9261
1	4933	9261

prune1.0s (9.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	174	3	177

Error

0.0b

Counts

177 → 3

Compiler

Compiled 13896 to 9466 computations (31.9% saved)

regimes598.0ms (5.4%)

Accuracy

Total 0.0b remaining (78.7%)

Threshold costs 0.0b (78.7%)

Compiler

Compiled 9966 to 7029 computations (29.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	52
1	77	52

Removed

()

end0.0ms (0%)

sample2.0s (18.4%)

Algorithm

1×

intervals

Results

519.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 1799 to 1281 computations (28.8% saved)

Details

analyze281.0ms (2.5%)

sample25.0ms (0.2%)

simplify59.0ms (0.5%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite171.0ms (1.6%)

series804.0ms (7.3%)

simplify52.0ms (0.5%)

prune198.0ms (1.8%)

localize19.0ms (0.2%)

rewrite206.0ms (1.9%)

series696.0ms (6.3%)

simplify66.0ms (0.6%)

prune217.0ms (2%)

localize23.0ms (0.2%)

rewrite264.0ms (2.4%)

series933.0ms (8.5%)

simplify84.0ms (0.8%)

prune283.0ms (2.6%)

localize26.0ms (0.2%)

rewrite694.0ms (6.3%)

series2.1s (19.2%)

simplify133.0ms (1.2%)

prune1.0s (9.2%)

regimes598.0ms (5.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (18.4%)

Profiling