Details

analyze276.0ms (6.8%)

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)

sample47.0ms (1.2%)

Algorithm

1×

intervals

Results

12.0ms	121×	body	256	valid
12.0ms	278×	pre	128	true
8.0ms	54×	body	512	valid
4.0ms	81×	body	128	valid
1.0ms	22×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify370.0ms (9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (282.0ms)

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

Merged error: 52.8b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize13.0ms (0.3%)

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)
25.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite36.0ms (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:

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))

series235.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

118.0ms	(/.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)
38.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
15.0ms	(.f64 (.f64 3 a) c)

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5180	1823

prune135.0ms (3.3%)

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

Merged error: 2.5b

Counts

90 → 11

Compiler

Compiled 2271 to 1377 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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune14.0ms (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

Merged error: 2.5b

Counts

11 → 11

Compiler

Compiled 290 to 210 computations (27.6% 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))
0.3b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite28.0ms (0.7%)

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:

11.0ms	(/.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)

series61.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

23.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
19.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
19.0ms	(/.f64 (*.f64 a c) b)

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4962	874
1	4962	874

prune87.0ms (2.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	78	9	87
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	79	19	98

Merged error: 2.5b

Counts

98 → 19

Compiler

Compiled 1475 to 852 computations (42.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 1 (*.f64 (/.f64 b c) -2))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_1480`
10×	`add-cbrt-cube_binary64_1478`
9×	`div-exp_binary64_1493`
6×	`prod-exp_binary64_1491`
4×	`cbrt-undiv_binary64_1476` `pow1_binary64_1503`
3×	`times-frac_binary64_1448` `associate-/l_binary64_1387` `1-exp_binary64_1486` `rec-exp_binary64_1492` `add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442`
2×	`cbrt-unprod_binary64_1475` `pow-flip_binary64_1516`
1×	`inv-pow_binary64_1527` `associate-/r_binary64_1386` `div-inv_binary64_1439` `associate-/r/_binary64_1388` `clear-num_binary64_1441` `pow-prod-down_binary64_1513` `add-log-exp_binary64_1481` `frac-2neg_binary64_1453` `associate-l/_binary64_1385`

Counts

1 → 33

Calls

1 calls:

6.0ms

(/.f64 1 (*.f64 (/.f64 b c) -2))

series15.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

15.0ms

(/.f64 1 (*.f64 (/.f64 b c) -2))

simplify96.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4846	295
1	4846	295

prune24.0ms (0.6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	16	17
Picked	0	1	1
Done	0	1	1
Total	36	19	55

Merged error: 2.5b

Counts

55 → 19

Compiler

Compiled 280 to 193 computations (31.1% saved)

regimes396.0ms (9.7%)

Compiler: Compiled 4526 to 3481 computations (23.1% saved)

bsearch4.0ms (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%)

sample2.1s (51.4%)

Algorithm

1×

intervals

Results

384.0ms	3826×	body	256	valid
283.0ms	8821×	pre	128	true
214.0ms	1442×	body	512	valid
149.0ms	2732×	body	128	valid
40.0ms	821×	body	128	nan

Compiler

Compiled 980 to 746 computations (23.9% saved)

Details

analyze276.0ms (6.8%)

sample47.0ms (1.2%)

simplify370.0ms (9%)

prune4.0ms (0.1%)

localize13.0ms (0.3%)

rewrite36.0ms (0.9%)

series235.0ms (5.7%)

simplify61.0ms (1.5%)

prune135.0ms (3.3%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune14.0ms (0.3%)

localize8.0ms (0.2%)

rewrite28.0ms (0.7%)

series61.0ms (1.5%)

simplify51.0ms (1.2%)

prune87.0ms (2.1%)

localize5.0ms (0.1%)

rewrite8.0ms (0.2%)

series15.0ms (0.4%)

simplify96.0ms (2.3%)

prune24.0ms (0.6%)

regimes396.0ms (9.7%)

bsearch4.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.1s (51.4%)

Profiling