Details

analyze536.0ms (4.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4923	86
1	4923	86
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%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample45.0ms (0.4%)

Algorithm

1×

intervals

Results

31.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify142.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

prune6.0ms (0.1%)

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 58 to 38 computations (34.5% saved)

localize30.0ms (0.3%)

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 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.6b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite77.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `*-un-lft-identity_binary64_1783` `pow1_binary64_1844`
14×	`add-cbrt-cube_binary64_1819`
10×	`add-cube-cbrt_binary64_1818` `associate-r_binary64_1723`
6×	`distribute-lft-in_binary64_1732` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `cancel-sign-sub-inv_binary64_1749` `distribute-rgt-in_binary64_1733` `pow-prod-down_binary64_1854` `add-log-exp_binary64_1822`
4×	`associate-*r/_binary64_1725`
3×	`pow-unpow_binary64_1860` `unpow-prod-down_binary64_1862`
2×	`associate-+r+_binary64_1715` `difference-of-squares_binary64_1752` `flip-+_binary64_1757` `associate-l_binary64_1724` `*-commutative_binary64_1714` `flip3-+_binary64_1786` `unswap-sqr_binary64_1751` `sub-neg_binary64_1776`
1×	`flip3--_binary64_1787` `+-commutative_binary64_1713` `sqr-pow_binary64_1755` `distribute-lft-out_binary64_1734` `unpow2_binary64_1848` `distribute-lft-out--_binary64_1735` `sum-log_binary64_1874` `pow-pow_binary64_1855` `flip--_binary64_1758` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

4 → 87

Calls

4 calls:

18.0ms	(.f64 (.f64 a a) (-.f64 1 a))
16.0ms	(+.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 3 a)))))
16.0ms	(.f64 (.f64 b b) (+.f64 3 a))
9.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series1.2s (10.4%)

Counts

4 → 53

Calls

4 calls:

635.0ms	(+.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 3 a)))))
342.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
134.0ms	(.f64 (.f64 b b) (+.f64 3 a))
87.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2111 to 1676 computations (20.6% saved)

simplify172.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4962	2508
1	4962	2508

prune333.0ms (2.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	3	141

Error

0.0b

Counts

141 → 3

Compiler

Compiled 4527 to 2371 computations (47.6% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.6b	(.f64 (.f64 b b) (+.f64 3 a))
3.5b	(.f64 (.f64 b b) (*.f64 a a))

rewrite123.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`pow1_binary64_1844`
32×	`associate-*r/_binary64_1725`
26×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
20×	`frac-add_binary64_1791` `pow-prod-down_binary64_1854`
14×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `flip-+_binary64_1757` `flip3-+_binary64_1786`
13×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822`
11×	`associate-r_binary64_1723`
8×	`add-cube-cbrt_binary64_1818`
6×	`distribute-lft-in_binary64_1732` `cancel-sign-sub-inv_binary64_1749` `distribute-rgt-in_binary64_1733` `sum-log_binary64_1874`
5×	`flip3--_binary64_1787` `flip--_binary64_1758`
4×	`pow-plus_binary64_1846` `pow-prod-up_binary64_1853`
3×	`associate-l_binary64_1724` `*-commutative_binary64_1714` `unswap-sqr_binary64_1751`
2×	`associate-+r+_binary64_1715` `difference-of-squares_binary64_1752` `pow-sqr_binary64_1756` `sub-neg_binary64_1776` `pow2_binary64_1864`
1×	`+-commutative_binary64_1713` `distribute-lft-out_binary64_1734` `distribute-lft-out--_binary64_1735` `associate-+l+_binary64_1716`

Counts

4 → 113

Calls

4 calls:

31.0ms	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
18.0ms	(.f64 (.f64 a a) (-.f64 1 a))
17.0ms	(.f64 (.f64 b b) (*.f64 a a))
16.0ms	(.f64 (.f64 b b) (+.f64 3 a))

series998.0ms (8.6%)

Counts

4 → 41

Calls

4 calls:

643.0ms	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
134.0ms	(.f64 (.f64 b b) (+.f64 3 a))
133.0ms	(.f64 (.f64 b b) (*.f64 a a))
88.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 1959 to 1550 computations (20.9% saved)

simplify168.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5027	5272

prune538.0ms (4.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	154	3	157

Error

0.0b

Counts

157 → 3

Compiler

Compiled 7308 to 4158 computations (43.1% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 b b) (+.f64 3 a))
0.6b	(.f64 (.f64 b b) (+.f64 3 a))
8.9b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
8.9b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))

rewrite83.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_1844`
14×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
12×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
8×	`add-cube-cbrt_binary64_1818` `associate-r_binary64_1723`
6×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `sqrt-prod_binary64_1799` `pow-prod-down_binary64_1854`
4×	`associate-*r/_binary64_1725` `flip-+_binary64_1757` `sqrt-div_binary64_1800` `flip3-+_binary64_1786` `add-log-exp_binary64_1822`
2×	`distribute-lft-in_binary64_1732` `distribute-lft-out_binary64_1734` `pow1/2_binary64_1863` `associate-l_binary64_1724` `*-commutative_binary64_1714` `distribute-rgt-in_binary64_1733` `sqrt-pow1_binary64_1801` `unswap-sqr_binary64_1751` `rem-sqrt-square_binary64_1796`

Counts

4 → 78

Calls

4 calls:

16.0ms	(.f64 (.f64 b b) (+.f64 3 a))
16.0ms	(.f64 (.f64 b b) (+.f64 3 a))
13.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
13.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))

series1.4s (12.5%)

Counts

4 → 58

Calls

4 calls:

579.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
564.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
152.0ms	(.f64 (.f64 b b) (+.f64 3 a))
151.0ms	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 5360 to 3820 computations (28.7% saved)

simplify155.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5019	3986

prune615.0ms (5.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	136	3	139

Error

0.0b

Counts

139 → 3

Compiler

Compiled 8750 to 4481 computations (48.8% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 b b) (+.f64 3 a))
18.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
18.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
18.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite65.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_1814`
13×	`*-un-lft-identity_binary64_1783`
12×	`add-sqr-sqrt_binary64_1805`
11×	`add-cube-cbrt_binary64_1818`
9×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `unpow-prod-down_binary64_1862` `pow1_binary64_1844`
4×	`add-log-exp_binary64_1822` `associate-r_binary64_1723`
3×	`sqr-pow_binary64_1755` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `unpow2_binary64_1848` `pow1/3_binary64_1865` `pow-prod-down_binary64_1854`
2×	`associate-*r/_binary64_1725`
1×	`distribute-lft-in_binary64_1732` `distribute-lft-out_binary64_1734` `flip-+_binary64_1757` `associate-l_binary64_1724` `*-commutative_binary64_1714` `distribute-rgt-in_binary64_1733` `flip3-+_binary64_1786` `unswap-sqr_binary64_1751`

Counts

4 → 72

Calls

4 calls:

15.0ms	(.f64 (.f64 b b) (+.f64 3 a))
9.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
9.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
9.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

series1.5s (12.8%)

Counts

4 → 53

Calls

4 calls:

451.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
449.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
439.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
144.0ms	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 4837 to 3229 computations (33.2% saved)

simplify126.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4918	2414
1	4918	2414

prune439.0ms (3.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	125	3	128

Error

0.0b

Counts

128 → 3

Compiler

Compiled 7157 to 3346 computations (53.2% saved)

regimes530.0ms (4.6%)

Accuracy

Total 0.0b remaining (70.6%)

Threshold costs 0.0b (70.6%)

Compiler

Compiled 4272 to 2788 computations (34.7% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	55	55
1	55	55

end0.0ms (0%)

sample2.1s (18.5%)

Algorithm

1×

intervals

Results

860.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 777 to 511 computations (34.2% saved)

Details

analyze536.0ms (4.6%)

sample45.0ms (0.4%)

simplify142.0ms (1.2%)

prune6.0ms (0.1%)

localize30.0ms (0.3%)

rewrite77.0ms (0.7%)

series1.2s (10.4%)

simplify172.0ms (1.5%)

prune333.0ms (2.9%)

localize39.0ms (0.3%)

rewrite123.0ms (1.1%)

series998.0ms (8.6%)

simplify168.0ms (1.5%)

prune538.0ms (4.7%)

localize40.0ms (0.3%)

rewrite83.0ms (0.7%)

series1.4s (12.5%)

simplify155.0ms (1.3%)

prune615.0ms (5.3%)

localize38.0ms (0.3%)

rewrite65.0ms (0.6%)

series1.5s (12.8%)

simplify126.0ms (1.1%)

prune439.0ms (3.8%)

regimes530.0ms (4.6%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.1s (18.5%)

Profiling