Details

analyze502.0ms (3.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
0	3	3
1	3	3

Search

True	Other	False	Iter
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)

sample43.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	283×	pre	128	true
9.0ms	182×	body	128	valid
7.0ms	74×	body	256	valid
1.0ms	27×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify290.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (284.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

41.7b

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 b b) (.f64 (*.f64 3 a) c))
0.2b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
38.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite147.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

38.7b

Rules

20×	`add-sqr-sqrt_binary64_1805`
14×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `*-un-lft-identity_binary64_1783`
9×	`pow1_binary64_1844`
8×	`add-log-exp_binary64_1822` `add-cube-cbrt_binary64_1818`
6×	`difference-of-squares_binary64_1752` `times-frac_binary64_1789` `associate-/l*_binary64_1728`
4×	`cancel-sign-sub-inv_binary64_1749` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
3×	`flip3--_binary64_1787` `flip--_binary64_1758` `sqrt-prod_binary64_1799` `distribute-lft-out--_binary64_1735` `pow-prod-down_binary64_1854` `associate-r_binary64_1723`
2×	`diff-log_binary64_1875` `sub-neg_binary64_1776` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/l/_binary64_1730`
1×	`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))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
7.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
5.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series658.0ms (4.5%)

Error

0.6b

Counts

4 → 60

Calls

4 calls:

216.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
165.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
153.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
60.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5268	2923

prune165.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	124	13	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	13	138

Error

0.5b

Counts

138 → 13

Compiler

Compiled 3320 to 1861 computations (43.9% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

rewrite713.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

155×	`add-exp-log_binary64_1821`
72×	`prod-exp_binary64_1832`
60×	`div-exp_binary64_1834`
50×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
40×	`add-sqr-sqrt_binary64_1805`
31×	`unpow-prod-down_binary64_1862`
29×	`add-cbrt-cube_binary64_1819`
26×	`times-frac_binary64_1789` `associate-/r*_binary64_1727`
23×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
15×	`sqr-pow_binary64_1755`
12×	`unswap-sqr_binary64_1751` `cube-prod_binary64_1811` `associate-l_binary64_1724`
8×	`cbrt-undiv_binary64_1817` `cbrt-unprod_binary64_1816`
7×	`associate-r_binary64_1723`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822`
3×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l*_binary64_1728` `unpow3_binary64_1849` `cube-mult_binary64_1813`
1×	`*-commutative_binary64_1714`

Counts

4 → 202

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 10444 to 6552 computations (37.3% saved)

series1.0s (7.1%)

Error

0.5b

Counts

4 → 33

Calls

4 calls:

332.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
289.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
217.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
128.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4455 to 3322 computations (25.4% saved)

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5089	3808

prune771.0ms (5.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	235	13	248

Error

0.5b

Counts

248 → 13

Compiler

Compiled 11774 to 7376 computations (37.4% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

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))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite615.0ms (4.2%)

Algorithm

1×	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`
8×	`associate-/r*_binary64_1727`
7×	`unpow-prod-down_binary64_1862` `associate-/l/_binary64_1730`
5×	`frac-sub_binary64_1792`
4×	`add-log-exp_binary64_1822` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756` `cbrt-undiv_binary64_1817` `associate-/l*_binary64_1728` `frac-add_binary64_1791`
3×	`pow-unpow_binary64_1860` `sqr-pow_binary64_1755`
2×	`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`
1×	`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:

29.0ms	(/.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)

series946.0ms (6.5%)

Error

0.5b

Counts

4 → 42

Calls

4 calls:

359.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
322.0ms	(/.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))
98.0ms	(pow.f64 (*.f64 a c) 3)
98.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4327 to 3153 computations (27.1% saved)

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5053	4495

prune670.0ms (4.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	175	9	184
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	177	20	197

Error

0.4b

Counts

197 → 20

Compiler

Compiled 11502 to 7020 computations (39% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
0.5b	(pow.f64 (*.f64 a c) 2)
0.8b	(pow.f64 (*.f64 a c) 3)
1.0b	(pow.f64 (*.f64 a c) 4)

rewrite394.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

35×	`times-frac_binary64_1789`
33×	`add-exp-log_binary64_1821`
29×	`unpow-prod-down_binary64_1862`
27×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
17×	`sqr-pow_binary64_1755`
16×	`pow-exp_binary64_1851`
13×	`pow1_binary64_1844`
12×	`div-exp_binary64_1834`
10×	`pow-to-exp_binary64_1852`
9×	`pow-unpow_binary64_1860` `add-cbrt-cube_binary64_1819`
7×	`associate-/r*_binary64_1727`
6×	`pow-pow_binary64_1855` `prod-exp_binary64_1832`
5×	`associate-/l*_binary64_1728`
4×	`add-log-exp_binary64_1822`
3×	`pow-prod-down_binary64_1854`
2×	`rem-cube-cbrt_binary64_1806`
1×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `cube-prod_binary64_1811` `cbrt-unprod_binary64_1816` `unpow2_binary64_1848` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780`

Counts

4 → 127

Calls

4 calls:

6.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)
4.0ms	(pow.f64 (*.f64 a c) 4)

Compiler

Compiled 7193 to 4363 computations (39.3% saved)

series654.0ms (4.5%)

Error

0.4b

Counts

4 → 27

Calls

4 calls:

328.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
96.0ms	(pow.f64 (*.f64 a c) 4)
93.0ms	(pow.f64 (*.f64 a c) 3)
80.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 4131 to 2922 computations (29.3% saved)

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5091	2247

prune431.0ms (2.9%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	18	18
Picked	0	1	1
Done	0	1	1
Total	154	20	174

Error

0.4b

Counts

174 → 20

Compiler

Compiled 8284 to 4970 computations (40% saved)

regimes1.5s (10.1%)

Accuracy

Total 2.6b remaining (89.4%)

Threshold costs 0b (0%)

Compiler

Compiled 25856 to 17565 computations (32.1% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	241	69
1	241	69

end0.0ms (0%)

sample4.7s (32%)

Algorithm

1×

intervals

Results

274.0ms	8941×	pre	128	true
273.0ms	2819×	body	256	valid
254.0ms	5179×	body	128	valid
45.0ms	941×	body	128	nan
0.0ms	2×	body	512	valid

Compiler

Compiled 5070 to 3450 computations (32% saved)

Details

analyze502.0ms (3.4%)

sample43.0ms (0.3%)

simplify290.0ms (2%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite147.0ms (1%)

series658.0ms (4.5%)

simplify58.0ms (0.4%)

prune165.0ms (1.1%)

localize30.0ms (0.2%)

rewrite713.0ms (4.9%)

series1.0s (7.1%)

simplify99.0ms (0.7%)

prune771.0ms (5.3%)

localize33.0ms (0.2%)

rewrite615.0ms (4.2%)

series946.0ms (6.5%)

simplify100.0ms (0.7%)

prune670.0ms (4.6%)

localize30.0ms (0.2%)

rewrite394.0ms (2.7%)

series654.0ms (4.5%)

simplify67.0ms (0.5%)

prune431.0ms (2.9%)

regimes1.5s (10.1%)

bsearch0.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample4.7s (32%)

Profiling