Details

analyze262.0ms (5.4%)

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)

sample37.0ms (0.8%)

Algorithm

1×

intervals

Results

12.0ms	247×	body	128	valid
9.0ms	302×	pre	128	true
5.0ms	46×	body	128	nan
1.0ms	9×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify423.0ms (8.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (267.0ms)

Iter	Nodes	Cost
0	1707	24
1	1707	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: 29.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize13.0ms (0.3%)

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 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
29.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_1446`
14×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
13×	`*-un-lft-identity_binary64_1425`
9×	`pow1_binary64_1483`
8×	`add-log-exp_binary64_1461`
7×	`add-cube-cbrt_binary64_1457`
6×	`times-frac_binary64_1431` `difference-of-squares_binary64_1394` `associate-/l*_binary64_1372`
4×	`prod-exp_binary64_1471` `cbrt-unprod_binary64_1455`
3×	`flip--_binary64_1400` `distribute-lft-out--_binary64_1379` `associate-r_binary64_1367` `sqrt-prod_binary64_1440` `flip3--_binary64_1429` `pow-prod-down_binary64_1493`
2×	`diff-log_binary64_1514` `sub-neg_binary64_1418` `div-exp_binary64_1473` `associate-/l/_binary64_1374` `cbrt-undiv_binary64_1456`
1×	`frac-2neg_binary64_1436` `associate-/r_binary64_1371` `associate-l_binary64_1368` `clear-num_binary64_1424` `div-sub_binary64_1430` `div-inv_binary64_1422` `-commutative_binary64_1358`

Counts

4 → 73

Calls

4 calls:

14.0ms	(/.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)
7.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series453.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

227.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
133.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
64.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
29.0ms	(.f64 (.f64 3 a) c)

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4925	1807
1	4925	1807

prune126.0ms (2.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	69	16	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	16	86

Merged error: 9.7b

Counts

86 → 16

Compiler

Compiled 2372 to 1459 computations (38.5% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune21.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	15	15
Picked	1	1
Done	0	0
Total	16	16

Merged error: 9.7b

Counts

16 → 16

Compiler

Compiled 458 to 329 computations (28.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 (*.f64 a c) b)
0.3b	(.f64 -3/2 (/.f64 (.f64 a c) b))
0.3b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
17×	`prod-exp_binary64_1471` `cbrt-unprod_binary64_1455`
16×	`div-exp_binary64_1473` `cbrt-undiv_binary64_1456`
10×	`add-sqr-sqrt_binary64_1446`
8×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
7×	`times-frac_binary64_1431` `associate-r_binary64_1367`
5×	`pow1_binary64_1483`
4×	`associate-/r*_binary64_1371`
3×	`associate-l_binary64_1368` `div-inv_binary64_1422` `add-log-exp_binary64_1461`
2×	`frac-2neg_binary64_1436` `clear-num_binary64_1424` `associate-r/_binary64_1369` `associate-/l_binary64_1372`
1×	`unswap-sqr_binary64_1393` `associate-/l/_binary64_1374` `*-commutative_binary64_1358` `pow-prod-down_binary64_1493`

Counts

3 → 78

Calls

3 calls:

10.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
8.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
5.0ms	(/.f64 (*.f64 a c) b)

series114.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

41.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
40.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
33.0ms	(/.f64 (*.f64 a c) b)

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5045	877

prune101.0ms (2.1%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	73	14	87
Fresh	0	14	14
Picked	0	1	1
Done	1	0	1
Total	74	29	103

Merged error: 9.6b

Counts

103 → 29

Compiler

Compiled 1738 to 1036 computations (40.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 1 (*.f64 -2 (/.f64 b c)))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_1460`
10×	`add-cbrt-cube_binary64_1458`
9×	`div-exp_binary64_1473`
6×	`prod-exp_binary64_1471`
4×	`pow1_binary64_1483` `cbrt-undiv_binary64_1456`
3×	`times-frac_binary64_1431` `add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `associate-/l_binary64_1372` `1-exp_binary64_1466` `-un-lft-identity_binary64_1425` `rec-exp_binary64_1472`
2×	`pow-flip_binary64_1496` `cbrt-unprod_binary64_1455`
1×	`frac-2neg_binary64_1436` `associate-/r_binary64_1371` `inv-pow_binary64_1507` `clear-num_binary64_1424` `associate-r/_binary64_1369` `div-inv_binary64_1422` `associate-/r/_binary64_1373` `add-log-exp_binary64_1461` `pow-prod-down_binary64_1493`

Counts

1 → 33

Calls

1 calls:

7.0ms

(/.f64 1 (*.f64 -2 (/.f64 b c)))

series32.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

32.0ms

(/.f64 1 (*.f64 -2 (/.f64 b c)))

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4873	292
1	4873	292

prune23.0ms (0.5%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	27	27
Picked	0	1	1
Done	0	1	1
Total	35	30	65

Merged error: 9.6b

Counts

65 → 30

Compiler

Compiled 280 to 189 computations (32.5% saved)

regimes775.0ms (16%)

Compiler: Compiled 5536 to 4276 computations (22.8% saved)

bsearch5.0ms (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%)

sample2.1s (44.3%)

Algorithm

1×

intervals

Results

579.0ms	7672×	body	128	valid
284.0ms	9009×	pre	128	true
47.0ms	1009×	body	128	nan
32.0ms	328×	body	256	valid

Compiler

Compiled 1182 to 905 computations (23.4% saved)

Details

analyze262.0ms (5.4%)

sample37.0ms (0.8%)

simplify423.0ms (8.7%)

prune4.0ms (0.1%)

localize13.0ms (0.3%)

rewrite41.0ms (0.8%)

series453.0ms (9.4%)

simplify55.0ms (1.1%)

prune126.0ms (2.6%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune21.0ms (0.4%)

localize8.0ms (0.2%)

rewrite29.0ms (0.6%)

series114.0ms (2.4%)

simplify68.0ms (1.4%)

prune101.0ms (2.1%)

localize5.0ms (0.1%)

rewrite10.0ms (0.2%)

series32.0ms (0.7%)

simplify73.0ms (1.5%)

prune23.0ms (0.5%)

regimes775.0ms (16%)

bsearch5.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.1s (44.3%)

Profiling