Details

analyze174.0ms (6.7%)

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)

sample30.0ms (1.1%)

Algorithm

1×

intervals

Results

9.0ms	256×	pre	128	true
9.0ms	256×	body	128	valid
0.0ms	2×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify73.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4836	17
1	4836	17

prune3.0ms (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

15.6b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (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)))))
31.3b	(/.f64 (.f64 b b) (.f64 a a))

rewrite44.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
4×	`prod-exp_binary64_1832` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `cbrt-unprod_binary64_1816` `add-sqr-sqrt_binary64_1805`
3×	`pow1_binary64_1844` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `sqrt-prod_binary64_1799`
2×	`add-log-exp_binary64_1822`
1×	`frac-2neg_binary64_1794` `times-frac_binary64_1789` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l_binary64_1728` `associate-/r_binary64_1727` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

2 → 34

Calls

2 calls:

7.0ms	(/.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)

series165.0ms (6.4%)

Error

15.6b

Counts

2 → 12

Calls

2 calls:

87.0ms	(/.f64 (.f64 b b) (.f64 a a))
69.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 396 to 374 computations (5.6% saved)

simplify90.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4903	515
1	4903	515

prune39.0ms (1.5%)

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)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
0.3b	(pow.f64 (/.f64 b a) 2)
6.7b	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite99.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`unpow-prod-down_binary64_1862`
22×	`add-sqr-sqrt_binary64_1805`
21×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
19×	`log-pow_binary64_1872`
18×	`exp-prod_binary64_1835` `times-frac_binary64_1789`
6×	`pow1_binary64_1844` `add-exp-log_binary64_1821`
3×	`log-prod_binary64_1869` `add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `pow-unpow_binary64_1860` `sqrt-prod_binary64_1799`
2×	`div-inv_binary64_1780` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `pow-exp_binary64_1851`
1×	`rem-log-exp_binary64_1824` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `div-exp_binary64_1834` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

3 → 72

Calls

3 calls:

7.0ms	(log.f64 (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 1364 to 943 computations (30.9% saved)

series363.0ms (14.1%)

Error

Counts

3 → 18

Calls

3 calls:

204.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
75.0ms	(pow.f64 (/.f64 b a) 2)
68.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

Compiler

Compiled 630 to 588 computations (6.7% saved)

simplify61.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5039	948

prune76.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	90	2	92

Error

Counts

92 → 2

Compiler

Compiled 1274 to 843 computations (33.8% 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))))
0.3b	(pow.f64 (/.f64 b a) 2)

rewrite46.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`unpow-prod-down_binary64_1862`
12×	`add-sqr-sqrt_binary64_1805`
11×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`times-frac_binary64_1789`
5×	`add-exp-log_binary64_1821`
4×	`pow1_binary64_1844`
3×	`pow-unpow_binary64_1860` `sqrt-prod_binary64_1799`
2×	`pow-exp_binary64_1851` `add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819`
1×	`div-inv_binary64_1780` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `div-exp_binary64_1834` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

2 → 42

Calls

2 calls:

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

Compiler

Compiled 687 to 467 computations (32% saved)

series148.0ms (5.7%)

Error

Counts

2 → 12

Calls

2 calls:

73.0ms	(pow.f64 (/.f64 b a) 2)
66.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))

Compiler

Compiled 396 to 374 computations (5.6% saved)

simplify54.0ms (2.1%)

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 (0 fresh and 2 done)

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

Error

Counts

56 → 2

Compiler

Compiled 684 to 447 computations (34.6% saved)

regimes118.0ms (4.6%)

Accuracy

Total 0.0b remaining (72.9%)

Threshold costs 0.0b (72.9%)

Compiler

Compiled 882 to 702 computations (20.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	18
1	22	18

end0.0ms (0%)

sample933.0ms (36.1%)

Algorithm

1×

intervals

Results

288.0ms	8000×	body	128	valid
151.0ms	8000×	pre	128	true
6.0ms	117×	pre	128	false

Compiler

Compiled 128 to 104 computations (18.8% saved)

Details

analyze174.0ms (6.7%)

sample30.0ms (1.1%)

simplify73.0ms (2.8%)

prune3.0ms (0.1%)

localize7.0ms (0.3%)

rewrite44.0ms (1.7%)

series165.0ms (6.4%)

simplify90.0ms (3.5%)

prune39.0ms (1.5%)

localize9.0ms (0.3%)

rewrite99.0ms (3.8%)

series363.0ms (14.1%)

simplify61.0ms (2.4%)

prune76.0ms (2.9%)

localize6.0ms (0.2%)

rewrite46.0ms (1.8%)

series148.0ms (5.7%)

simplify54.0ms (2.1%)

prune42.0ms (1.6%)

regimes118.0ms (4.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample933.0ms (36.1%)

Profiling