Details

analyze519.0ms (8.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
0	3	3
1	3	3

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)

sample40.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	290×	pre	128	true
9.0ms	172×	body	128	valid
9.0ms	84×	body	256	valid
2.0ms	34×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify277.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (272.0ms)

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

41.0b

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))
0.3b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
36.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite39.0ms (0.6%)

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:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
12.0ms	(-.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))

series223.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
65.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
32.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
15.0ms	(.f64 (.f64 3 a) c)

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5180	1823

prune137.0ms (2.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	75	14	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	14	90

Error

5.6b

Counts

90 → 14

Compiler

Compiled 2424 to 1477 computations (39.1% saved)

localize4.0ms (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

prune22.0ms (0.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	13	13
Picked	1	1
Done	0	0
Total	14	14

Error

5.6b

Counts

14 → 14

Compiler

Compiled 443 to 311 computations (29.8% saved)

localize8.0ms (0.1%)

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 (0.4%)

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))
5.0ms	(/.f64 (*.f64 a c) b)

series63.0ms (1%)

Counts

3 → 9

Calls

3 calls:

23.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
20.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
20.0ms	(/.f64 (*.f64 a c) b)

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4962	874
1	4962	874

prune101.0ms (1.6%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	75	12	87
Fresh	0	12	12
Picked	1	0	1
Done	1	0	1
Total	77	24	101

Error

5.5b

Counts

101 → 24

Compiler

Compiled 1666 to 984 computations (40.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_1448`
229×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
57×	`associate-/r*_binary64_1386`
22×	`div-inv_binary64_1439`
16×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
9×	`cbrt-undiv_binary64_1476` `div-exp_binary64_1493`
6×	`associate-/r/_binary64_1388` `associate-/l*_binary64_1387`
2×	`clear-num_binary64_1441` `add-log-exp_binary64_1481` `frac-2neg_binary64_1453` `pow1_binary64_1503`

Counts

2 → 266

Calls

2 calls:

15.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
6.0ms	(/.f64 3 (/.f64 c b))

series28.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
14.0ms	(/.f64 3 (/.f64 c b))

simplify135.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5023	6058

prune284.0ms (4.6%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	256	16	272
Fresh	6	17	23
Picked	0	1	1
Done	0	0	0
Total	262	34	296

Error

5.5b

Counts

296 → 34

Compiler

Compiled 4635 to 2656 computations (42.7% saved)

regimes1.1s (17.2%)

Accuracy

Total 4.7b remaining (48.6%)

Threshold costs 0b (0%)

Compiler

Compiled 10421 to 8186 computations (21.4% saved)

bsearch6.0ms (0.1%)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	87	81
1	87	81

end0.0ms (0%)

sample3.0s (48.5%)

Algorithm

1×

intervals

Results

309.0ms	2942×	body	256	valid
289.0ms	8890×	pre	128	true
269.0ms	5056×	body	128	valid
47.0ms	890×	body	128	nan
0.0ms	2×	body	512	valid

Compiler

Compiled 2159 to 1687 computations (21.9% saved)

Details

analyze519.0ms (8.4%)

sample40.0ms (0.6%)

simplify277.0ms (4.5%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite39.0ms (0.6%)

series223.0ms (3.6%)

simplify63.0ms (1%)

prune137.0ms (2.2%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune22.0ms (0.4%)

localize8.0ms (0.1%)

rewrite27.0ms (0.4%)

series63.0ms (1%)

simplify53.0ms (0.9%)

prune101.0ms (1.6%)

localize5.0ms (0.1%)

rewrite50.0ms (0.8%)

series28.0ms (0.5%)

simplify135.0ms (2.2%)

prune284.0ms (4.6%)

regimes1.1s (17.2%)

bsearch6.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.0s (48.5%)

Profiling