Details

analyze259.0ms (4.7%)

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)

sample39.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	94×	body	256	valid
8.0ms	276×	pre	128	true
8.0ms	162×	body	128	valid
3.0ms	20×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify370.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (277.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (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

Merged error: 44.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
38.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite41.0ms (0.7%)

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:

15.0ms	(/.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)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series224.0ms (4%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
64.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
33.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
17.0ms	(.f64 (.f64 3 a) c)

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5180	1823

prune125.0ms (2.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	77	12	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	13	90

Merged error: 5.7b

Counts

90 → 13

Compiler

Compiled 2316 to 1402 computations (39.5% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune15.0ms (0.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	11	11
Picked	1	1
Done	1	1
Total	13	13

Merged error: 5.7b

Counts

13 → 13

Compiler

Compiled 335 to 236 computations (29.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 (*.f64 a c) b)
0.3b	(.f64 -3/2 (/.f64 (.f64 a c) b))
0.4b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
17×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832`
16×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
10×	`add-sqr-sqrt_binary64_1805`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
7×	`times-frac_binary64_1789` `associate-r_binary64_1723`
5×	`pow1_binary64_1844`
4×	`associate-/r*_binary64_1727`
3×	`div-inv_binary64_1780` `associate-l_binary64_1724` `add-log-exp_binary64_1822`
2×	`associate-r/_binary64_1725` `associate-/l_binary64_1728` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`associate-/l/_binary64_1730` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`

Counts

3 → 78

Calls

3 calls:

9.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
7.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
4.0ms	(/.f64 (*.f64 a c) b)

series69.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
20.0ms	(/.f64 (*.f64 a c) b)
20.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4962	874
1	4962	874

prune100.0ms (1.8%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	74	13	87
Fresh	0	10	10
Picked	1	0	1
Done	1	1	2
Total	76	24	100

Merged error: 5.6b

Counts

100 → 24

Compiler

Compiled 1591 to 927 computations (41.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
0.3b	(/.f64 3 (/.f64 c b))

rewrite47.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_1789`
229×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
57×	`associate-/r*_binary64_1727`
22×	`div-inv_binary64_1780`
16×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
9×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
6×	`associate-/r/_binary64_1729` `associate-/l*_binary64_1728`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

2 → 266

Calls

2 calls:

13.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
6.0ms	(/.f64 3 (/.f64 c b))

series35.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

20.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
15.0ms	(/.f64 3 (/.f64 c b))

simplify122.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5023	6058

prune277.0ms (5%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	256	16	272
Fresh	6	16	22
Picked	1	0	1
Done	0	1	1
Total	263	33	296

Merged error: 5.6b

Counts

296 → 33

Compiler

Compiled 4635 to 2658 computations (42.7% saved)

regimes935.0ms (16.8%)

Compiler: Compiled 9256 to 7316 computations (21% saved)

bsearch6.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	87	81
1	87	81

end0.0ms (0%)

sample2.7s (48.8%)

Algorithm

1×

intervals

Results

273.0ms	2874×	body	256	valid
265.0ms	8799×	pre	128	true
262.0ms	5126×	body	128	valid
38.0ms	799×	body	128	nan

Compiler

Compiled 1926 to 1513 computations (21.4% saved)

Details

analyze259.0ms (4.7%)

sample39.0ms (0.7%)

simplify370.0ms (6.7%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite41.0ms (0.7%)

series224.0ms (4%)

simplify58.0ms (1%)

prune125.0ms (2.3%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune15.0ms (0.3%)

localize8.0ms (0.1%)

rewrite26.0ms (0.5%)

series69.0ms (1.2%)

simplify53.0ms (1%)

prune100.0ms (1.8%)

localize5.0ms (0.1%)

rewrite47.0ms (0.9%)

series35.0ms (0.6%)

simplify122.0ms (2.2%)

prune277.0ms (5%)

regimes935.0ms (16.8%)

bsearch6.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.7s (48.8%)

Profiling