Details

analyze260.0ms (3.8%)

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)

sample35.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	247×	body	128	valid
11.0ms	302×	pre	128	true
2.0ms	46×	body	128	nan
1.0ms	9×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify458.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (297.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 29.9b

Counts

2 → 2

Compiler

Compiled 82 to 67 computations (18.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
29.8b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

rewrite40.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_1455`
14×	`add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
10×	`add-log-exp_binary64_1494`
9×	`pow1_binary64_1516`
7×	`add-sqr-sqrt_binary64_1477` `add-cube-cbrt_binary64_1490`
6×	`distribute-lft-out_binary64_1406`
5×	`associate-/l*_binary64_1400` `times-frac_binary64_1461`
4×	`prod-exp_binary64_1504` `cbrt-unprod_binary64_1488`
3×	`associate-r_binary64_1395` `distribute-rgt-neg-in_binary64_1413` `pow-prod-down_binary64_1526`
2×	`flip-+_binary64_1429` `associate-/l/_binary64_1402` `neg-sub0_binary64_1450` `associate-+l-_binary64_1390` `div-exp_binary64_1506` `cbrt-undiv_binary64_1489` `flip3-+_binary64_1458` `sum-log_binary64_1546`
1×	`neg-log_binary64_1548` `clear-num_binary64_1454` `associate-/r_binary64_1399` `-commutative_binary64_1386` `flip--_binary64_1430` `frac-2neg_binary64_1466` `diff-log_binary64_1547` `cancel-sign-sub-inv_binary64_1421` `sub-neg_binary64_1448` `div-inv_binary64_1452` `+-commutative_binary64_1385` `flip3--_binary64_1459` `div-sub_binary64_1460` `associate-l_binary64_1396`

Counts

4 → 73

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
9.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series441.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

216.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
133.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
64.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
27.0ms	(.f64 (.f64 3 a) c)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5018	1664

prune153.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	84	3	87

Merged error: 0.3b

Counts

87 → 3

Compiler

Compiled 2966 to 1954 computations (34.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite64.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
34×	`times-frac_binary64_1461`
28×	`add-sqr-sqrt_binary64_1477` `*-un-lft-identity_binary64_1455`
19×	`prod-exp_binary64_1504` `cbrt-unprod_binary64_1488`
17×	`div-exp_binary64_1506` `cbrt-undiv_binary64_1489`
14×	`pow1_binary64_1516` `associate-/l*_binary64_1400`
12×	`add-cube-cbrt_binary64_1490`
8×	`distribute-lft-out--_binary64_1407` `difference-of-squares_binary64_1424` `associate-/r*_binary64_1399`
6×	`associate-r_binary64_1395` `associate-/r/_binary64_1401` `pow-prod-down_binary64_1526`
4×	`sqrt-prod_binary64_1471` `distribute-rgt-neg-in_binary64_1413` `add-log-exp_binary64_1494` `div-inv_binary64_1452`
3×	`flip--_binary64_1430` `flip3--_binary64_1459`
2×	`clear-num_binary64_1454` `-commutative_binary64_1386` `frac-2neg_binary64_1466` `associate-l*_binary64_1396`
1×	`associate-/l/_binary64_1402`

Counts

4 → 123

Calls

4 calls:

21.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
16.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(.f64 (.f64 3 a) c)

series753.0ms (11%)

Counts

4 → 12

Calls

4 calls:

387.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
305.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
33.0ms	(.f64 (.f64 3 a) c)
26.0ms	(.f64 (.f64 3 a) c)

simplify95.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5013	3312

prune487.0ms (7.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	124	11	135
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	127	11	138

Merged error: 0b

Counts

138 → 11

Compiler

Compiled 10328 to 6886 computations (33.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite121.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

312×	`times-frac_binary64_1461`
238×	`add-sqr-sqrt_binary64_1477`
229×	`*-un-lft-identity_binary64_1455`
141×	`add-cube-cbrt_binary64_1490`
86×	`associate-r_binary64_1395`
44×	`distribute-lft-out--_binary64_1407` `difference-of-squares_binary64_1424`
27×	`associate-/l*_binary64_1400`
25×	`sqrt-prod_binary64_1471`
23×	`add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
22×	`distribute-rgt-neg-in_binary64_1413`
14×	`associate-/r/_binary64_1401`
11×	`pow1_binary64_1516`
9×	`div-inv_binary64_1452`
8×	`add-log-exp_binary64_1494` `flip--_binary64_1430` `flip3--_binary64_1459`
6×	`prod-exp_binary64_1504` `div-exp_binary64_1506` `cbrt-undiv_binary64_1489` `cancel-sign-sub-inv_binary64_1421` `cbrt-unprod_binary64_1488` `associate-l_binary64_1396`
4×	`pow-prod-down_binary64_1526`
3×	`associate-/r*_binary64_1399` `unswap-sqr_binary64_1423`
2×	`*-commutative_binary64_1386` `diff-log_binary64_1547`
1×	`associate-*r/_binary64_1397` `neg-log_binary64_1548` `associate-/l/_binary64_1402` `neg-sub0_binary64_1450` `clear-num_binary64_1454` `associate--l-_binary64_1393` `frac-2neg_binary64_1466` `sub-neg_binary64_1448`

Counts

4 → 274

Calls

4 calls:

39.0ms	(.f64 a (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a))
19.0ms	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)
11.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))
9.0ms	(.f64 c (.f64 3 a))

series897.0ms (13.2%)

Counts

4 → 12

Calls

4 calls:

451.0ms	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)
295.0ms	(.f64 a (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a))
124.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))
28.0ms	(.f64 c (.f64 3 a))

simplify143.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4935	9876
1	4935	9876

prune600.0ms (8.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	282	4	286
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	286	11	297

Merged error: 0b

Counts

297 → 11

Compiler

Compiled 13991 to 7727 computations (44.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite43.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_1477` `*-un-lft-identity_binary64_1455`
21×	`times-frac_binary64_1461`
19×	`add-cube-cbrt_binary64_1490`
11×	`add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
10×	`distribute-lft-out--_binary64_1407` `difference-of-squares_binary64_1424` `add-log-exp_binary64_1494`
9×	`pow1_binary64_1516`
8×	`sqrt-prod_binary64_1471`
7×	`associate-/r*_binary64_1399` `cancel-sign-sub-inv_binary64_1421`
5×	`distribute-rgt-neg-in_binary64_1413`
3×	`prod-exp_binary64_1504` `flip--_binary64_1430` `diff-log_binary64_1547` `associate-/l_binary64_1400` `cbrt-unprod_binary64_1488` `flip3--_binary64_1459` `associate-l*_binary64_1396` `pow-prod-down_binary64_1526`
2×	`associate-/r/_binary64_1401` `sub-neg_binary64_1448`
1×	`associate-r_binary64_1395` `neg-log_binary64_1548` `neg-sub0_binary64_1450` `div-exp_binary64_1506` `clear-num_binary64_1454` `*-commutative_binary64_1386` `cbrt-undiv_binary64_1489` `associate--l-_binary64_1393` `frac-2neg_binary64_1466` `div-inv_binary64_1452`

Counts

4 → 98

Calls

4 calls:

12.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3))))))
11.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))))
6.0ms	(.f64 c (.f64 a 3))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))

series540.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

322.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3))))))
130.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))))
60.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))
27.0ms	(.f64 c (.f64 a 3))

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5087	2689

prune231.0ms (3.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	112	9	121

Merged error: 0b

Counts

121 → 9

Compiler

Compiled 4829 to 3084 computations (36.1% saved)

regimes101.0ms (1.5%)

Compiler: Compiled 1029 to 792 computations (23% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	23
1	81	23

end0.0ms (0%)

sample1.2s (17.1%)

Algorithm

1×

intervals

Results

379.0ms	7672×	body	128	valid
267.0ms	9009×	pre	128	true
48.0ms	1009×	body	128	nan
31.0ms	328×	body	256	valid

Compiler

Compiled 273 to 210 computations (23.1% saved)

Details

analyze260.0ms (3.8%)

sample35.0ms (0.5%)

simplify458.0ms (6.7%)

prune8.0ms (0.1%)

localize10.0ms (0.1%)

rewrite40.0ms (0.6%)

series441.0ms (6.5%)

simplify58.0ms (0.9%)

prune153.0ms (2.2%)

localize12.0ms (0.2%)

rewrite64.0ms (0.9%)

series753.0ms (11%)

simplify95.0ms (1.4%)

prune487.0ms (7.1%)

localize13.0ms (0.2%)

rewrite121.0ms (1.8%)

series897.0ms (13.2%)

simplify143.0ms (2.1%)

prune600.0ms (8.8%)

localize12.0ms (0.2%)

rewrite43.0ms (0.6%)

series540.0ms (7.9%)

simplify78.0ms (1.1%)

prune231.0ms (3.4%)

regimes101.0ms (1.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (17.1%)

Profiling