Details

analyze270.0ms (5.7%)

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)

sample44.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms	110×	body	256	valid
8.0ms	281×	pre	128	true
7.0ms	48×	body	512	valid
5.0ms	98×	body	128	valid
1.0ms	25×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify381.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (292.0ms)

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

Error

51.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.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)
25.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite42.0ms (0.9%)

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:

13.0ms	(/.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)
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series231.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
71.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
34.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
15.0ms	(.f64 (.f64 3 a) c)

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5180	1823

prune144.0ms (3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	78	11	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	11	90

Error

2.4b

Counts

90 → 11

Compiler

Compiled 2291 to 1388 computations (39.4% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune15.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	10	10
Picked	1	1
Done	0	0
Total	11	11

Error

2.4b

Counts

11 → 11

Compiler

Compiled 310 to 221 computations (28.7% saved)

localize8.0ms (0.2%)

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))

rewrite27.0ms (0.6%)

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:

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)

series70.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

27.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
24.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
19.0ms	(/.f64 (*.f64 a c) b)

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4962	874
1	4962	874

prune92.0ms (1.9%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	77	10	87
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	78	20	98

Error

2.4b

Counts

98 → 20

Compiler

Compiled 1534 to 885 computations (42.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.6b	(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
0.7b	(pow.f64 (/.f64 c b) 3)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`times-frac_binary64_1448`
17×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
13×	`cube-prod_binary64_1470` `unpow-prod-down_binary64_1521`
5×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
3×	`pow-unpow_binary64_1519` `pow1_binary64_1503`
2×	`pow-exp_binary64_1510` `div-inv_binary64_1439` `add-log-exp_binary64_1481` `rem-cube-cbrt_binary64_1465` `cube-div_binary64_1471`
1×	`associate-*r/_binary64_1384` `cbrt-undiv_binary64_1476` `cube-mult_binary64_1472` `cbrt-div_binary64_1474` `cbrt-prod_binary64_1473` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `pow1/3_binary64_1524` `div-exp_binary64_1493` `pow-to-exp_binary64_1511` `pow-pow_binary64_1514`

Counts

2 → 56

Calls

2 calls:

6.0ms	(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
6.0ms	(pow.f64 (/.f64 c b) 3)

series58.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
24.0ms	(pow.f64 (/.f64 c b) 3)

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5091	693

prune50.0ms (1%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	4	14	18
Picked	0	1	1
Done	0	1	1
Total	61	21	82

Error

2.4b

Counts

82 → 21

Compiler

Compiled 749 to 441 computations (41.1% saved)

regimes527.0ms (11.1%)

Accuracy

Total 3.0b remaining (53.5%)

Threshold costs 0b (0%)

Compiler

Compiled 5696 to 4411 computations (22.6% saved)

bsearch4.0ms (0.1%)

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

simplify292.0ms (6.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	87	81
1	87	81

end0.0ms (0%)

sample2.3s (48.5%)

Algorithm

1×

intervals

Results

396.0ms	3827×	body	256	valid
266.0ms	8741×	pre	128	true
215.0ms	1450×	body	512	valid
140.0ms	2723×	body	128	valid
38.0ms	741×	body	128	nan

Compiler

Compiled 1214 to 932 computations (23.2% saved)

Details

analyze270.0ms (5.7%)

sample44.0ms (0.9%)

simplify381.0ms (8%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite42.0ms (0.9%)

series231.0ms (4.9%)

simplify64.0ms (1.3%)

prune144.0ms (3%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.2%)

prune15.0ms (0.3%)

localize8.0ms (0.2%)

rewrite27.0ms (0.6%)

series70.0ms (1.5%)

simplify57.0ms (1.2%)

prune92.0ms (1.9%)

localize6.0ms (0.1%)

rewrite15.0ms (0.3%)

series58.0ms (1.2%)

simplify34.0ms (0.7%)

prune50.0ms (1%)

regimes527.0ms (11.1%)

bsearch4.0ms (0.1%)

simplify292.0ms (6.1%)

end0.0ms (0%)

sample2.3s (48.5%)

Profiling