Details

analyze264.0ms (5.8%)

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)

sample43.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms	106×	body	256	valid
9.0ms	51×	body	512	valid
9.0ms	277×	pre	128	true
5.0ms	99×	body	128	valid
1.0ms	21×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify417.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (259.0ms)

Iter	Nodes	Cost
0	1707	24
1	1707	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

Merged error: 52.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.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)
27.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite39.0ms (0.9%)

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:

12.0ms	(/.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))

series466.0ms (10.3%)

Counts

4 → 12

Calls

4 calls:

233.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
135.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
66.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
31.0ms	(.f64 (.f64 3 a) c)

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4925	1807
1	4925	1807

prune135.0ms (3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	73	12	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	12	86

Merged error: 2.6b

Counts

86 → 12

Compiler

Compiled 2270 to 1378 computations (39.3% 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

prune16.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	11	11
Picked	1	1
Done	0	0
Total	12	12

Merged error: 2.6b

Counts

12 → 12

Compiler

Compiled 356 to 247 computations (30.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite30.0ms (0.7%)

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

series119.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

45.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
39.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
35.0ms	(/.f64 (*.f64 a c) b)

simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5045	877

prune91.0ms (2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	81	18	99

Merged error: 2.6b

Counts

99 → 18

Compiler

Compiled 1535 to 875 computations (43% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
0.5b	(cbrt.f64 b)
0.5b	(cbrt.f64 b)
0.5b	(cbrt.f64 b)

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1453`
23×	`add-sqr-sqrt_binary64_1446`
15×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
11×	`pow1_binary64_1483`
9×	`pow1/3_binary64_1504`
6×	`associate-l_binary64_1368` `associate-r_binary64_1367` `swap-sqr_binary64_1392` `add-exp-log_binary64_1460`
4×	`unswap-sqr_binary64_1393` `add-cbrt-cube_binary64_1458` `add-log-exp_binary64_1461`
2×	`pow-sqr_binary64_1398` `pow-prod-up_binary64_1492` `pow-prod-down_binary64_1493`
1×	`prod-exp_binary64_1471` `pow-plus_binary64_1485` `cbrt-unprod_binary64_1455` `pow2_binary64_1503` `*-commutative_binary64_1358`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)

series641.0ms (14.2%)

Counts

4 → 12

Calls

4 calls:

184.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
166.0ms	(cbrt.f64 b)
146.0ms	(cbrt.f64 b)
145.0ms	(cbrt.f64 b)

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune81.0ms (1.8%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	78	7	85
Fresh	0	16	16
Picked	1	0	1
Done	0	1	1
Total	79	24	103

Merged error: 2.5b

Counts

103 → 24

Compiler

Compiled 1754 to 852 computations (51.4% saved)

regimes205.0ms (4.5%)

Compiler: Compiled 2396 to 1748 computations (27% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample1.7s (38.2%)

Algorithm

1×

intervals

Results

355.0ms	3745×	body	256	valid
270.0ms	8794×	pre	128	true
203.0ms	1452×	body	512	valid
142.0ms	2803×	body	128	valid
40.0ms	794×	body	128	nan

Compiler

Compiled 631 to 463 computations (26.6% saved)

Details

analyze264.0ms (5.8%)

sample43.0ms (1%)

simplify417.0ms (9.2%)

prune7.0ms (0.1%)

localize10.0ms (0.2%)

rewrite39.0ms (0.9%)

series466.0ms (10.3%)

simplify52.0ms (1.2%)

prune135.0ms (3%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune16.0ms (0.4%)

localize8.0ms (0.2%)

rewrite30.0ms (0.7%)

series119.0ms (2.6%)

simplify63.0ms (1.4%)

prune91.0ms (2%)

localize12.0ms (0.3%)

rewrite17.0ms (0.4%)

series641.0ms (14.2%)

simplify67.0ms (1.5%)

prune81.0ms (1.8%)

regimes205.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.7s (38.2%)

Profiling