Details

analyze383.0ms (19.1%)

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)

sample22.0ms (1.1%)

Algorithm

1×

intervals

Results

9.0ms	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 (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4836	17
1	4836	17

prune3.0ms (0.2%)

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

15.8b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize11.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
33.1b	(/.f64 (.f64 b b) (.f64 a a))

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

series50.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
20.0ms	(/.f64 (.f64 b b) (.f64 a a))

simplify86.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4903	452
1	4903	452

prune37.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	2	41

Error

Counts

41 → 2

Compiler

Compiled 525 to 342 computations (34.9% saved)

localize9.0ms (0.4%)

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))))))
0.4b	(pow.f64 (/.f64 b a) 2)
4.9b	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite19.0ms (1%)

Algorithm

1×	rewrite-expression-head

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×	`times-frac_binary64_1789` `exp-prod_binary64_1835`
6×	`add-exp-log_binary64_1821` `pow1_binary64_1844`
3×	`add-cbrt-cube_binary64_1819` `log-prod_binary64_1869` `pow-unpow_binary64_1860` `sqrt-prod_binary64_1799` `add-log-exp_binary64_1822`
2×	`sqr-pow_binary64_1755` `unpow2_binary64_1848` `div-inv_binary64_1780` `pow-exp_binary64_1851`
1×	`pow1/2_binary64_1863` `div-exp_binary64_1834` `sqrt-pow1_binary64_1801` `pow-pow_binary64_1855` `rem-sqrt-square_binary64_1796` `pow-to-exp_binary64_1852` `rem-log-exp_binary64_1824`

Counts

3 → 72

Calls

3 calls:

8.0ms	(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))))))

series77.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
28.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
14.0ms	(pow.f64 (/.f64 b a) 2)

simplify66.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5039	858

prune72.0ms (3.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	81	2	83

Error

Counts

83 → 2

Compiler

Compiled 1183 to 786 computations (33.6% saved)

localize7.0ms (0.3%)

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)

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

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×	`add-cbrt-cube_binary64_1819` `pow-exp_binary64_1851` `add-log-exp_binary64_1822`
1×	`sqr-pow_binary64_1755` `unpow2_binary64_1848` `div-inv_binary64_1780` `pow1/2_binary64_1863` `div-exp_binary64_1834` `sqrt-pow1_binary64_1801` `pow-pow_binary64_1855` `rem-sqrt-square_binary64_1796` `pow-to-exp_binary64_1852`

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))))

series44.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
16.0ms	(pow.f64 (/.f64 b a) 2)

simplify56.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5242	588

prune39.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	48	2	50

Error

Counts

50 → 2

Compiler

Compiled 630 to 411 computations (34.8% saved)

regimes130.0ms (6.5%)

Accuracy

Total 0.0b remaining (76.9%)

Threshold costs 0.0b (76.9%)

Compiler

Compiled 774 to 664 computations (14.2% 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%)

sample794.0ms (39.7%)

Algorithm

1×

intervals

Results

283.0ms	8000×	body	128	valid
167.0ms	8000×	pre	128	true
3.0ms	132×	pre	128	false

Compiler

Compiled 99 to 89 computations (10.1% saved)

Details

analyze383.0ms (19.1%)

sample22.0ms (1.1%)

simplify72.0ms (3.6%)

prune3.0ms (0.2%)

localize11.0ms (0.6%)

rewrite10.0ms (0.5%)

series50.0ms (2.5%)

simplify86.0ms (4.3%)

prune37.0ms (1.9%)

localize9.0ms (0.4%)

rewrite19.0ms (1%)

series77.0ms (3.9%)

simplify66.0ms (3.3%)

prune72.0ms (3.6%)

localize7.0ms (0.3%)

rewrite9.0ms (0.5%)

series44.0ms (2.2%)

simplify56.0ms (2.8%)

prune39.0ms (2%)

regimes130.0ms (6.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample794.0ms (39.7%)

Profiling