Details

analyze725.0ms (0.6%)

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)

sample115.0ms (0.1%)

Algorithm

1×

intervals

Results

45.0ms	114×	body	256	valid
17.0ms	281×	pre	128	true
15.0ms	51×	body	512	valid
9.0ms	91×	body	128	valid
2.0ms	25×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify1.1s (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (836.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune9.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 52.8b

Counts

2 → 2

Compiler

Compiled 49 to 40 computations (18.4% saved)

localize24.0ms (0%)

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

rewrite64.0ms (0%)

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:

20.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
14.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
9.0ms	(.f64 (.f64 3 a) c)
9.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series381.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

191.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
107.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
54.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
25.0ms	(.f64 (.f64 3 a) c)

simplify101.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5180	1823

prune1.1s (0.9%)

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	51	38	89
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	52	39	91

Merged error: 2.8b

Counts

91 → 39

Compiler

Compiled 2982 to 1904 computations (36.2% saved)

localize9.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify15.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune125.0ms (0.1%)

Pruning

39 alts after pruning (37 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	37	37
Picked	1	1
Done	1	1
Total	39	39

Merged error: 2.8b

Counts

39 → 39

Compiler

Compiled 1001 to 737 computations (26.4% saved)

localize20.0ms (0%)

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

rewrite73.0ms (0.1%)

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:

23.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
22.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
11.0ms	(/.f64 (*.f64 a c) b)

series203.0ms (0.2%)

Counts

3 → 9

Calls

3 calls:

80.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
65.0ms	(/.f64 (*.f64 a c) b)
58.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))

simplify106.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4962	874
1	4962	874

prune911.0ms (0.7%)

Pruning

68 alts after pruning (65 fresh and 3 done)

	Pruned	Kept	Total
New	54	33	87
Fresh	4	32	36
Picked	0	1	1
Done	0	2	2
Total	58	68	126

Merged error: 2.8b

Counts

126 → 68

Compiler

Compiled 2477 to 1608 computations (35.1% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
0.2b	(/.f64 3 (/.f64 c b))

rewrite102.0ms (0.1%)

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:

31.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
12.0ms	(/.f64 3 (/.f64 c b))

series83.0ms (0.1%)

Counts

2 → 6

Calls

2 calls:

50.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
33.0ms	(/.f64 3 (/.f64 c b))

simplify401.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (177.0ms)

Iter	Nodes	Cost
0	5023	6058

prune3.9s (3%)

Pruning

204 alts after pruning (201 fresh and 3 done)

	Pruned	Kept	Total
New	122	150	272
Fresh	13	51	64
Picked	0	1	1
Done	1	2	3
Total	136	204	340

Merged error: 2.7b

Counts

340 → 204

Compiler

Compiled 4635 to 2658 computations (42.7% saved)

regimes8.4s (6.4%)

Compiler: Compiled 26026 to 21331 computations (18% saved)

bsearch1.6min (73.7%)

simplify61.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample16.6s (12.6%)

Algorithm

1×

intervals

Results

1.1s	3741×	body	256	valid
772.0ms	8776×	pre	128	true
649.0ms	1518×	body	512	valid
436.0ms	2741×	body	128	valid
158.0ms	776×	body	128	nan

Compiler

Compiled 5430 to 4488 computations (17.3% saved)

Pareto

0.18113453529885096

Details

analyze725.0ms (0.6%)

sample115.0ms (0.1%)

simplify1.1s (0.8%)

prune9.0ms (0%)

localize24.0ms (0%)

rewrite64.0ms (0%)

series381.0ms (0.3%)

simplify101.0ms (0.1%)

prune1.1s (0.9%)

localize9.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify15.0ms (0%)

prune125.0ms (0.1%)

localize20.0ms (0%)

rewrite73.0ms (0.1%)

series203.0ms (0.2%)

simplify106.0ms (0.1%)

prune911.0ms (0.7%)

localize10.0ms (0%)

rewrite102.0ms (0.1%)

series83.0ms (0.1%)

simplify401.0ms (0.3%)

prune3.9s (3%)

regimes8.4s (6.4%)

bsearch1.6min (73.7%)

simplify61.0ms (0%)

end0.0ms (0%)

sample16.6s (12.6%)

Profiling