Details

analyze278.0ms (2.4%)

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)

sample48.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	115×	body	256	valid
8.0ms	285×	pre	128	true
6.0ms	42×	body	512	valid
5.0ms	99×	body	128	valid
1.0ms	29×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify367.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (272.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune7.0ms (0.1%)

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

50.8b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.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))
0.3b	(.f64 (.f64 3 a) c)
27.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite147.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

48.2b

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×	`associate-l_binary64_1724` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r_binary64_1727`

Counts

4 → 77

Calls

4 calls:

11.0ms	(/.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))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series625.0ms (5.4%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

199.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
162.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
150.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
49.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5268	2923

prune152.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	130	7	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	7	138

Error

0.2b

Counts

138 → 7

Compiler

Compiled 3157 to 1748 computations (44.6% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite534.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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×	`unswap-sqr_binary64_1751` `cube-prod_binary64_1811`
15×	`sqr-pow_binary64_1755`
13×	`associate-l_binary64_1724`
10×	`cbrt-unprod_binary64_1816`
6×	`cbrt-undiv_binary64_1817`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `unpow3_binary64_1849` `cube-mult_binary64_1813`
2×	`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:

10.0ms	(/.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))
8.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series775.0ms (6.6%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

280.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
216.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
119.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
101.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5093	3032

prune609.0ms (5.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	207	8	215

Error

0.2b

Counts

215 → 8

Compiler

Compiled 10328 to 6424 computations (37.8% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

rewrite351.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

132×	`add-exp-log_binary64_1821`
64×	`prod-exp_binary64_1832`
41×	`add-cbrt-cube_binary64_1819`
39×	`div-exp_binary64_1834`
31×	`times-frac_binary64_1789`
28×	`associate-r_binary64_1723`
27×	`add-sqr-sqrt_binary64_1805`
22×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
21×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
19×	`unpow-prod-down_binary64_1862` `associate-/r*_binary64_1727`
16×	`cbrt-unprod_binary64_1816`
13×	`cube-prod_binary64_1811`
9×	`cbrt-undiv_binary64_1817`
7×	`sqr-pow_binary64_1755`
6×	`pow1_binary64_1844`
5×	`unswap-sqr_binary64_1751`
4×	`add-log-exp_binary64_1822` `unpow3_binary64_1849` `cube-mult_binary64_1813` `associate-l_binary64_1724`
3×	`div-inv_binary64_1780`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l_binary64_1728` `-commutative_binary64_1714`
1×	`pow-prod-down_binary64_1854` `associate-*r/_binary64_1725`

Counts

4 → 173

Calls

4 calls:

12.0ms	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
10.0ms	(/.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 a a) (pow.f64 c 3))

Compiler

Compiled 6572 to 3673 computations (44.1% saved)

series873.0ms (7.5%)

Error

0.2b

Counts

4 → 33

Calls

4 calls:

277.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
247.0ms	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
200.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
103.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3069 to 2302 computations (25% saved)

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5188	3112

prune372.0ms (3.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	206	8	214

Error

0.2b

Counts

214 → 8

Compiler

Compiled 7246 to 4075 computations (43.8% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.6b	(pow.f64 (*.f64 a c) 3)

rewrite710.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

56×	`times-frac_binary64_1789`
51×	`add-exp-log_binary64_1821`
48×	`unpow-prod-down_binary64_1862`
47×	`add-sqr-sqrt_binary64_1805`
46×	`pow1_binary64_1844`
35×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
26×	`sqr-pow_binary64_1755`
23×	`add-cbrt-cube_binary64_1819`
21×	`prod-exp_binary64_1832`
19×	`pow-prod-down_binary64_1854`
18×	`pow-exp_binary64_1851`
14×	`pow-to-exp_binary64_1852`
12×	`div-exp_binary64_1834`
10×	`cbrt-unprod_binary64_1816`
9×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `cube-prod_binary64_1811` `unswap-sqr_binary64_1751`
8×	`associate-l_binary64_1724` `associate-r_binary64_1723` `associate-/l*_binary64_1728`
7×	`associate-/r*_binary64_1727`
4×	`add-log-exp_binary64_1822` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
3×	`pow-unpow_binary64_1860`
2×	`pow-pow_binary64_1855` `rem-cube-cbrt_binary64_1806` `pow-plus_binary64_1846` `*-commutative_binary64_1714`
1×	`pow2_binary64_1864` `swap-sqr_binary64_1750` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780`

Counts

4 → 192

Calls

4 calls:

7.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 11302 to 6748 computations (40.3% saved)

series670.0ms (5.7%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

310.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
122.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
93.0ms	(pow.f64 (*.f64 a c) 3)
87.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4221 to 2973 computations (29.6% saved)

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5427	3066

prune770.0ms (6.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	219	8	227

Error

0.2b

Counts

227 → 8

Compiler

Compiled 12047 to 7206 computations (40.2% saved)

regimes754.0ms (6.5%)

Accuracy

Total 1.3b remaining (85.9%)

Threshold costs 0b (0%)

Compiler

Compiled 11029 to 8020 computations (27.3% 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%)

sample3.2s (27.5%)

Algorithm

1×

intervals

Results

574.0ms	3698×	body	256	valid
263.0ms	8803×	pre	128	true
227.0ms	1494×	body	512	valid
149.0ms	2808×	body	128	valid
38.0ms	803×	body	128	nan

Compiler

Compiled 2086 to 1523 computations (27% saved)

Details

analyze278.0ms (2.4%)

sample48.0ms (0.4%)

simplify367.0ms (3.1%)

prune7.0ms (0.1%)

localize10.0ms (0.1%)

rewrite147.0ms (1.3%)

series625.0ms (5.4%)

simplify56.0ms (0.5%)

prune152.0ms (1.3%)

localize34.0ms (0.3%)

rewrite534.0ms (4.6%)

series775.0ms (6.6%)

simplify92.0ms (0.8%)

prune609.0ms (5.2%)

localize24.0ms (0.2%)

rewrite351.0ms (3%)

series873.0ms (7.5%)

simplify86.0ms (0.7%)

prune372.0ms (3.2%)

localize30.0ms (0.3%)

rewrite710.0ms (6.1%)

series670.0ms (5.7%)

simplify84.0ms (0.7%)

prune770.0ms (6.6%)

regimes754.0ms (6.5%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.2s (27.5%)

Profiling