Details

analyze267.0ms (2.7%)

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

10.0ms	110×	body	256	valid
9.0ms	281×	pre	128	true
7.0ms	48×	body	512	valid
5.0ms	98×	body	128	valid
1.0ms	25×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify380.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (280.0ms)

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

51.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (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)
25.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite39.0ms (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:

13.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series589.0ms (6%)

Counts

4 → 60

Calls

4 calls:

217.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
166.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
153.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
54.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 1692 to 1453 computations (14.1% saved)

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5268	2923

prune198.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	127	10	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	10	138

Error

0.2b

Counts

138 → 10

Compiler

Compiled 3261 to 1919 computations (41.2% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite68.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

144×	`add-exp-log_binary64_1821`
72×	`prod-exp_binary64_1832`
51×	`div-exp_binary64_1834`
49×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
40×	`add-sqr-sqrt_binary64_1805`
29×	`unpow-prod-down_binary64_1862`
25×	`add-cbrt-cube_binary64_1819`
24×	`associate-l_binary64_1724`
20×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
16×	`unswap-sqr_binary64_1751`
15×	`sqr-pow_binary64_1755`
14×	`associate-/r*_binary64_1727` `times-frac_binary64_1789`
10×	`cube-prod_binary64_1811`
8×	`cbrt-unprod_binary64_1816` `associate-r_binary64_1723`
5×	`cbrt-undiv_binary64_1817`
4×	`add-log-exp_binary64_1822` `pow1_binary64_1844`
2×	`associate-/l_binary64_1728` `cube-mult_binary64_1813` `unpow3_binary64_1849` `div-inv_binary64_1780` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782`

Counts

4 → 188

Calls

4 calls:

14.0ms	(/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))
10.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
8.0ms	(.f64 (pow.f64 c 3) (.f64 a a))

series879.0ms (9%)

Counts

4 → 30

Calls

4 calls:

348.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
294.0ms	(/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))
127.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
110.0ms	(.f64 (pow.f64 c 3) (.f64 a a))

Compiler

Compiled 2700 to 2130 computations (21.1% saved)

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5000	3447

prune680.0ms (6.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	218	10	228

Error

0.2b

Counts

228 → 10

Compiler

Compiled 10894 to 6844 computations (37.2% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite91.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 148

Calls

4 calls:

38.0ms	(/.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))
15.0ms	(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3))
9.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
4.0ms	(pow.f64 (*.f64 a c) 3)

series794.0ms (8.1%)

Counts

4 → 42

Calls

4 calls:

328.0ms	(/.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))
234.0ms	(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3))
122.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
110.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 2775 to 2206 computations (20.5% saved)

simplify90.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5011	4710

prune658.0ms (6.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	187	3	190
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	187	13	200

Error

0.1b

Counts

200 → 13

Compiler

Compiled 11132 to 6808 computations (38.8% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (*.f64 a 3))
0.5b	(pow.f64 (*.f64 a c) 2)
0.8b	(pow.f64 (*.f64 a c) 3)
1.0b	(pow.f64 (*.f64 a c) 4)

rewrite56.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_1821`
13×	`pow1_binary64_1844`
12×	`add-cbrt-cube_binary64_1819`
9×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `pow-unpow_binary64_1860` `*-un-lft-identity_binary64_1783`
6×	`pow-pow_binary64_1855` `pow-exp_binary64_1851`
5×	`associate-*r/_binary64_1725` `associate-/l/_binary64_1730`
4×	`frac-add_binary64_1791` `prod-exp_binary64_1832` `add-log-exp_binary64_1822`
3×	`sqr-pow_binary64_1755` `associate-/l*_binary64_1728` `unpow-prod-down_binary64_1862` `times-frac_binary64_1789` `pow-prod-down_binary64_1854` `pow-to-exp_binary64_1852`
2×	`rem-cube-cbrt_binary64_1806` `cbrt-unprod_binary64_1816` `flip-+_binary64_1757` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `flip3-+_binary64_1786`
1×	`cube-mult_binary64_1813` `unpow2_binary64_1848` `unpow3_binary64_1849` `div-inv_binary64_1780` `associate-/r*_binary64_1727` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `cube-prod_binary64_1811`

Counts

4 → 83

Calls

4 calls:

31.0ms	(/.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (*.f64 a 3))
5.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)

series1.0s (10.6%)

Counts

4 → 35

Calls

4 calls:

766.0ms	(/.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (+.f64 (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5))) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7))))) (*.f64 a 3))
101.0ms	(pow.f64 (*.f64 a c) 4)
95.0ms	(pow.f64 (*.f64 a c) 3)
77.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 2752 to 2105 computations (23.5% saved)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4942	2870
1	4942	2870

prune299.0ms (3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	118	13	131

Error

0.1b

Counts

131 → 13

Compiler

Compiled 6426 to 3852 computations (40.1% saved)

regimes838.0ms (8.5%)

Accuracy

Total 1.3b remaining (88.7%)

Threshold costs 0b (0%)

Compiler

Compiled 8446 to 6168 computations (27% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample2.5s (25.5%)

Algorithm

1×

intervals

Results

364.0ms	3827×	body	256	valid
267.0ms	8741×	pre	128	true
211.0ms	1450×	body	512	valid
132.0ms	2723×	body	128	valid
36.0ms	741×	body	128	nan

Compiler

Compiled 1668 to 1219 computations (26.9% saved)

Details

analyze267.0ms (2.7%)

sample42.0ms (0.4%)

simplify380.0ms (3.9%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite39.0ms (0.4%)

series589.0ms (6%)

simplify54.0ms (0.6%)

prune198.0ms (2%)

localize28.0ms (0.3%)

rewrite68.0ms (0.7%)

series879.0ms (9%)

simplify70.0ms (0.7%)

prune680.0ms (6.9%)

localize32.0ms (0.3%)

rewrite91.0ms (0.9%)

series794.0ms (8.1%)

simplify90.0ms (0.9%)

prune658.0ms (6.7%)

localize28.0ms (0.3%)

rewrite56.0ms (0.6%)

series1.0s (10.6%)

simplify71.0ms (0.7%)

prune299.0ms (3%)

regimes838.0ms (8.5%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.5s (25.5%)

Profiling