Details

analyze178.0ms (6.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4920	34
1	4920	34
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

Compiler

Compiled 18 to 11 computations (38.9% saved)

sample25.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true
0.0ms	4×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify72.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4836	17
1	4836	17

prune8.0ms (0.3%)

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

14.3b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
33.9b	(/.f64 (.f64 b b) (.f64 a a))

rewrite41.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
4×	`prod-exp_binary64_1491` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `add-sqr-sqrt_binary64_1464`
3×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442` `sqrt-prod_binary64_1458`
2×	`add-log-exp_binary64_1481`
1×	`frac-2neg_binary64_1453` `times-frac_binary64_1448` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

2 → 34

Calls

2 calls:

6.0ms	(/.f64 (.f64 b b) (.f64 a a))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 640 to 268 computations (58.1% saved)

series153.0ms (5.6%)

Error

14.3b

Counts

2 → 12

Calls

2 calls:

79.0ms	(/.f64 (.f64 b b) (.f64 a a))
63.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 396 to 374 computations (5.6% saved)

simplify86.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4903	515
1	4903	515

prune36.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	2	47

Error

Counts

47 → 2

Compiler

Compiled 579 to 378 computations (34.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
0.4b	(pow.f64 (/.f64 b a) 2)

rewrite47.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`unpow-prod-down_binary64_1521`
12×	`add-sqr-sqrt_binary64_1464`
11×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`times-frac_binary64_1448`
5×	`add-exp-log_binary64_1480`
4×	`pow1_binary64_1503`
3×	`pow-unpow_binary64_1519` `sqrt-prod_binary64_1458`
2×	`pow-exp_binary64_1510` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
1×	`div-inv_binary64_1439` `pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `div-exp_binary64_1493` `unpow2_binary64_1507` `sqr-pow_binary64_1414` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

2 → 42

Calls

2 calls:

5.0ms	(pow.f64 (/.f64 b a) 2)
2.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))

Compiler

Compiled 687 to 467 computations (32% saved)

series144.0ms (5.3%)

Error

Counts

2 → 12

Calls

2 calls:

72.0ms	(pow.f64 (/.f64 b a) 2)
63.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))

Compiler

Compiled 396 to 374 computations (5.6% saved)

simplify53.0ms (2%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5242	651

prune42.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Error

Counts

56 → 2

Compiler

Compiled 695 to 458 computations (34.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (pow.f64 (/.f64 b a) 2))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
0.4b	(pow.f64 (/.f64 b a) 2)
5.1b	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite133.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

39×	`unpow-prod-down_binary64_1521`
36×	`exp-prod_binary64_1494`
31×	`add-sqr-sqrt_binary64_1464`
30×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
27×	`times-frac_binary64_1448`
19×	`log-pow_binary64_1531`
7×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
5×	`add-log-exp_binary64_1481`
4×	`add-cbrt-cube_binary64_1478`
3×	`div-inv_binary64_1439` `unpow2_binary64_1507` `sqr-pow_binary64_1414` `log-prod_binary64_1528` `pow-unpow_binary64_1519` `sqrt-prod_binary64_1458`
2×	`pow-exp_binary64_1510`
1×	`rem-log-exp_binary64_1483` `pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `div-exp_binary64_1493` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `rem-exp-log_binary64_1482`

Counts

4 → 98

Calls

4 calls:

7.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
6.0ms	(exp.f64 (pow.f64 (/.f64 b a) 2))
5.0ms	(pow.f64 (/.f64 b a) 2)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

Compiler

Compiled 1861 to 1259 computations (32.3% saved)

series435.0ms (16%)

Error

Counts

4 → 33

Calls

4 calls:

197.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
74.0ms	(pow.f64 (/.f64 b a) 2)
68.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
64.0ms	(exp.f64 (pow.f64 (/.f64 b a) 2))

Compiler

Compiled 1197 to 1098 computations (8.3% saved)

simplify65.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5091	1413

prune117.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	131	2	133

Error

Counts

133 → 2

Compiler

Compiled 1928 to 1274 computations (33.9% saved)

regimes146.0ms (5.4%)

Accuracy

Total 0.0b remaining (85.1%)

Threshold costs 0.0b (85.1%)

Compiler

Compiled 1068 to 861 computations (19.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	17
1	34	17

end0.0ms (0%)

sample904.0ms (33.3%)

Algorithm

1×

intervals

Results

278.0ms	8000×	body	128	valid
151.0ms	8000×	pre	128	true
2.0ms	124×	pre	128	false

Compiler

Compiled 136 to 110 computations (19.1% saved)

Details

analyze178.0ms (6.6%)

sample25.0ms (0.9%)

simplify72.0ms (2.7%)

prune8.0ms (0.3%)

localize8.0ms (0.3%)

rewrite41.0ms (1.5%)

series153.0ms (5.6%)

simplify86.0ms (3.2%)

prune36.0ms (1.3%)

localize6.0ms (0.2%)

rewrite47.0ms (1.7%)

series144.0ms (5.3%)

simplify53.0ms (2%)

prune42.0ms (1.6%)

localize9.0ms (0.3%)

rewrite133.0ms (4.9%)

series435.0ms (16%)

simplify65.0ms (2.4%)

prune117.0ms (4.3%)

regimes146.0ms (5.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample904.0ms (33.3%)

Profiling