Details

analyze368.0ms (6%)

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)

sample48.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	143×	body	256	valid
10.0ms	291×	pre	128	true
6.0ms	36×	body	512	valid
4.0ms	77×	body	128	valid
2.0ms	35×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify546.0ms (8.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (362.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	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: 53.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (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))
0.3b	(.f64 (.f64 3 a) c)
26.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite79.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1464`
14×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `*-un-lft-identity_binary64_1442`
9×	`pow1_binary64_1503`
8×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477`
6×	`times-frac_binary64_1448` `associate-/l*_binary64_1387` `difference-of-squares_binary64_1411`
4×	`cancel-sign-sub-inv_binary64_1408` `cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
3×	`associate-r_binary64_1382` `flip3--_binary64_1446` `pow-prod-down_binary64_1513` `flip--_binary64_1417` `sqrt-prod_binary64_1458` `distribute-lft-out--_binary64_1394`
2×	`cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389` `sub-neg_binary64_1435` `diff-log_binary64_1534` `div-exp_binary64_1493`
1×	`associate-/r_binary64_1386` `div-inv_binary64_1439` `clear-num_binary64_1441` `associate-l_binary64_1383` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `div-sub_binary64_1447`

Counts

4 → 77

Calls

4 calls:

26.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
15.0ms	(.f64 (.f64 3 a) c)
15.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
9.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series652.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

332.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
184.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
96.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
39.0ms	(.f64 (.f64 3 a) c)

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4922	1823
1	4922	1823

prune265.0ms (4.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	77	12	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	12	90

Merged error: 2.3b

Counts

90 → 12

Compiler

Compiled 2311 to 1402 computations (39.3% saved)

localize10.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune30.0ms (0.5%)

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: 2.3b

Counts

12 → 12

Compiler

Compiled 330 to 235 computations (28.8% saved)

localize11.0ms (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)
0.4b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
17×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
16×	`cbrt-undiv_binary64_1476` `div-exp_binary64_1493`
10×	`add-sqr-sqrt_binary64_1464`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`associate-r_binary64_1382` `times-frac_binary64_1448`
5×	`pow1_binary64_1503`
4×	`associate-/r*_binary64_1386`
3×	`div-inv_binary64_1439` `associate-l_binary64_1383` `add-log-exp_binary64_1481`
2×	`associate-r/_binary64_1384` `clear-num_binary64_1441` `associate-/l_binary64_1387` `frac-2neg_binary64_1453`
1×	`associate-/l/_binary64_1389` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `unswap-sqr_binary64_1410`

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)

series154.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

61.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
48.0ms	(/.f64 (*.f64 a c) b)
44.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify83.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5036	877

prune150.0ms (2.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	77	10	87
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	79	20	99

Merged error: 2.2b

Counts

99 → 20

Compiler

Compiled 1508 to 874 computations (42% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
23×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
16×	`cbrt-undiv_binary64_1476` `div-exp_binary64_1493`
13×	`associate-r_binary64_1382`
10×	`times-frac_binary64_1448`
9×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`pow1_binary64_1503`
3×	`pow-prod-down_binary64_1513`
2×	`associate-*r/_binary64_1384` `div-inv_binary64_1439` `add-log-exp_binary64_1481`
1×	`associate-/r_binary64_1386` `associate-/l/_binary64_1389` `clear-num_binary64_1441` `associate-/l_binary64_1387` `associate-l_binary64_1383` `*-commutative_binary64_1373` `frac-2neg_binary64_1453`

Counts

2 → 67

Calls

2 calls:

13.0ms	(/.f64 (.f64 (.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))
8.0ms	(.f64 (.f64 -3/2 a) (/.f64 c b))

series89.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

52.0ms	(.f64 (.f64 -3/2 a) (/.f64 c b))
37.0ms	(/.f64 (.f64 (.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))

simplify98.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4950	781
1	4950	781

prune68.0ms (1.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	2	16	18
Picked	1	0	1
Done	0	1	1
Total	73	20	93

Merged error: 2.2b

Counts

93 → 20

Compiler

Compiled 860 to 481 computations (44.1% saved)

regimes642.0ms (10.4%)

Compiler: Compiled 5096 to 3771 computations (26% 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%)

sample2.7s (43.2%)

Algorithm

1×

intervals

Results

488.0ms	3864×	body	256	valid
348.0ms	8856×	pre	128	true
275.0ms	1459×	body	512	valid
177.0ms	2677×	body	128	valid
51.0ms	856×	body	128	nan

Compiler

Compiled 1094 to 804 computations (26.5% saved)

Details

analyze368.0ms (6%)

sample48.0ms (0.8%)

simplify546.0ms (8.9%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite79.0ms (1.3%)

series652.0ms (10.6%)

simplify97.0ms (1.6%)

prune265.0ms (4.3%)

localize10.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify12.0ms (0.2%)

prune30.0ms (0.5%)

localize11.0ms (0.2%)

rewrite29.0ms (0.5%)

series154.0ms (2.5%)

simplify83.0ms (1.4%)

prune150.0ms (2.4%)

localize8.0ms (0.1%)

rewrite34.0ms (0.5%)

series89.0ms (1.4%)

simplify98.0ms (1.6%)

prune68.0ms (1.1%)

regimes642.0ms (10.4%)

bsearch5.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.7s (43.2%)

Profiling