Details

analyze42.0ms (3.5%)

Algorithm

1×

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)

sample20.0ms (1.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true
0.0ms	3×	pre	80	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify91.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5167	17

prune5.0ms (0.4%)

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: 13.3b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (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)))))
29.7b	(/.f64 (.f64 b b) (.f64 a a))

rewrite10.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64` `div-exp_binary64`
3×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
2×	`add-log-exp_binary64`
1×	`associate-/r_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

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)))))

series19.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
7.0ms	(/.f64 (.f64 b b) (.f64 a a))

simplify72.0ms (6%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5106	455

prune30.0ms (2.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0b

Counts

41 → 1

Compiler

Compiled 518 to 331 computations (36.1% saved)

localize12.0ms (1%)

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)
6.6b	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite16.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`unpow-prod-down_binary64`
22×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`log-pow_binary64`
18×	`times-frac_binary64` `exp-prod_binary64`
6×	`pow1_binary64` `add-exp-log_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `log-prod_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
2×	`unpow2_binary64` `sqr-pow_binary64` `div-inv_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `rem-log-exp_binary64` `pow-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-exp_binary64`

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))))))

series18.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
4.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
4.0ms	(pow.f64 (/.f64 b a) 2)

simplify78.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5376	864

prune55.0ms (4.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	1	82

Merged error: 0b

Counts

82 → 1

Compiler

Compiled 1189 to 789 computations (33.6% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	18
1	23	18

end0.0ms (0%)

sample719.0ms (60.1%)

Algorithm

1×

intervals

Results

263.0ms	8000×	body	80	valid
145.0ms	8000×	pre	80	true
5.0ms	127×	pre	80	false

Compiler

Compiled 40 to 35 computations (12.5% saved)

Details

analyze42.0ms (3.5%)

sample20.0ms (1.7%)

simplify91.0ms (7.6%)

prune5.0ms (0.4%)

localize7.0ms (0.6%)

rewrite10.0ms (0.8%)

series19.0ms (1.6%)

simplify72.0ms (6%)

prune30.0ms (2.5%)

localize12.0ms (1%)

rewrite16.0ms (1.3%)

series18.0ms (1.5%)

simplify78.0ms (6.5%)

prune55.0ms (4.6%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample719.0ms (60.1%)

Profiling