Details

analyze267.0ms (2.8%)

Algorithm

1×

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)

sample42.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	122×	body	256	valid
11.0ms	276×	pre	128	true
5.0ms	100×	body	128	valid
5.0ms	34×	body	512	valid
1.0ms	20×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify372.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (275.0ms)

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

Merged error: 51.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.2b	(.f64 (.f64 3 a) c)
28.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite36.0ms (0.4%)

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:

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)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series463.0ms (4.9%)

Counts

4 → 52

Calls

4 calls:

172.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
128.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
108.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
54.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 1522 to 1312 computations (13.8% saved)

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5376	2621

prune181.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	122	7	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	7	130

Merged error: 0.2b

Counts

130 → 7

Compiler

Compiled 2972 to 1742 computations (41.4% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite63.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`add-exp-log_binary64_1821`
72×	`prod-exp_binary64_1832`
60×	`div-exp_binary64_1834`
46×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
32×	`add-cbrt-cube_binary64_1819`
26×	`associate-/r*_binary64_1727` `times-frac_binary64_1789`
24×	`add-sqr-sqrt_binary64_1805`
22×	`unpow-prod-down_binary64_1862`
21×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
12×	`associate-l_binary64_1724`
10×	`cbrt-unprod_binary64_1816` `cube-prod_binary64_1811`
8×	`sqr-pow_binary64_1755` `cbrt-undiv_binary64_1817`
4×	`unswap-sqr_binary64_1751` `add-log-exp_binary64_1822` `pow1_binary64_1844`
3×	`associate-/l*_binary64_1728` `cube-mult_binary64_1813` `unpow3_binary64_1849` `div-inv_binary64_1780` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`-commutative_binary64_1714` `associate-r*_binary64_1723`

Counts

4 → 186

Calls

4 calls:

11.0ms	(/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))
10.0ms	(/.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 c 3) (.f64 a a))

series970.0ms (10.2%)

Counts

4 → 33

Calls

4 calls:

333.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
300.0ms	(/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))
218.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
119.0ms	(.f64 (pow.f64 c 3) (.f64 a a))

Compiler

Compiled 2998 to 2386 computations (20.4% saved)

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4968	3490
1	4968	3490

prune711.0ms (7.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	219	7	226

Merged error: 0.2b

Counts

226 → 7

Compiler

Compiled 10773 to 6788 computations (37% saved)

localize32.0ms (0.3%)

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 c c) (.f64 a a)) (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 c c) (*.f64 a a))
0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite76.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-exp-log_binary64_1821`
35×	`pow1_binary64_1844`
26×	`add-cbrt-cube_binary64_1819`
23×	`add-sqr-sqrt_binary64_1805`
19×	`prod-exp_binary64_1832`
16×	`pow-prod-down_binary64_1854`
13×	`unpow-prod-down_binary64_1862`
11×	`add-cube-cbrt_binary64_1818` `cbrt-unprod_binary64_1816` `*-un-lft-identity_binary64_1783`
10×	`associate-*r/_binary64_1725` `unswap-sqr_binary64_1751`
9×	`sqr-pow_binary64_1755`
8×	`associate-l_binary64_1724` `pow-exp_binary64_1851` `associate-r_binary64_1723`
7×	`associate-/l/_binary64_1730` `pow-to-exp_binary64_1852`
5×	`frac-sub_binary64_1792`
4×	`frac-add_binary64_1791` `pow-plus_binary64_1846` `pow-prod-up_binary64_1853` `add-log-exp_binary64_1822`
3×	`associate-/l*_binary64_1728` `pow-unpow_binary64_1860` `times-frac_binary64_1789`
2×	`rem-cube-cbrt_binary64_1806` `flip-+_binary64_1757` `pow-sqr_binary64_1756` `cbrt-undiv_binary64_1817` `*-commutative_binary64_1714` `div-exp_binary64_1834` `flip3-+_binary64_1786` `pow-pow_binary64_1855` `pow2_binary64_1864`
1×	`flip3--_binary64_1787` `div-sub_binary64_1788` `cube-mult_binary64_1813` `unpow3_binary64_1849` `div-inv_binary64_1780` `associate-/r*_binary64_1727` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `flip--_binary64_1758` `cube-prod_binary64_1811`

Counts

4 → 122

Calls

4 calls:

35.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (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 c c) (*.f64 a a))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
4.0ms	(pow.f64 (*.f64 a c) 3)

series591.0ms (6.2%)

Counts

4 → 37

Calls

4 calls:

277.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (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))
120.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
100.0ms	(pow.f64 (*.f64 a c) 3)
94.0ms	(.f64 (.f64 c c) (*.f64 a a))

Compiler

Compiled 2445 to 1948 computations (20.3% saved)

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4943	3975
1	4943	3975

prune530.0ms (5.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	155	4	159
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	157	9	166

Merged error: 0.2b

Counts

166 → 9

Compiler

Compiled 9742 to 5936 computations (39.1% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`times-frac_binary64_1789`
38×	`unpow-prod-down_binary64_1862`
33×	`add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
20×	`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×	`add-cbrt-cube_binary64_1819` `cube-mult_binary64_1813` `pow-unpow_binary64_1860` `unpow3_binary64_1849` `cube-prod_binary64_1811`
8×	`associate-/l*_binary64_1728`
7×	`associate-/r*_binary64_1727`
6×	`prod-exp_binary64_1832` `pow-pow_binary64_1855`
4×	`add-log-exp_binary64_1822`
3×	`pow-prod-down_binary64_1854`
2×	`rem-cube-cbrt_binary64_1806`
1×	`cbrt-unprod_binary64_1816` `unpow2_binary64_1848` `div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782`

Counts

4 → 151

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
5.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)

series620.0ms (6.5%)

Counts

4 → 27

Calls

4 calls:

330.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
108.0ms	(pow.f64 (*.f64 a c) 4)
105.0ms	(pow.f64 (*.f64 a c) 3)
77.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 2774 to 2126 computations (23.4% saved)

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5006	2696

prune579.0ms (6.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	178	9	187

Merged error: 0.2b

Counts

187 → 9

Compiler

Compiled 9591 to 6082 computations (36.6% saved)

regimes696.0ms (7.4%)

Compiler: Compiled 10778 to 7663 computations (28.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample2.8s (29.8%)

Algorithm

1×

intervals

Results

369.0ms	3784×	body	256	valid
271.0ms	8775×	pre	128	true
204.0ms	1447×	body	512	valid
140.0ms	2769×	body	128	valid
35.0ms	775×	body	128	nan

Compiler

Compiled 2138 to 1521 computations (28.9% saved)

Details

analyze267.0ms (2.8%)

sample42.0ms (0.4%)

simplify372.0ms (3.9%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite36.0ms (0.4%)

series463.0ms (4.9%)

simplify55.0ms (0.6%)

prune181.0ms (1.9%)

localize32.0ms (0.3%)

rewrite63.0ms (0.7%)

series970.0ms (10.2%)

simplify77.0ms (0.8%)

prune711.0ms (7.5%)

localize32.0ms (0.3%)

rewrite76.0ms (0.8%)

series591.0ms (6.2%)

simplify88.0ms (0.9%)

prune530.0ms (5.6%)

localize34.0ms (0.4%)

rewrite41.0ms (0.4%)

series620.0ms (6.5%)

simplify70.0ms (0.7%)

prune579.0ms (6.1%)

regimes696.0ms (7.4%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.8s (29.8%)

Profiling