Details

analyze3.0ms (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.6%	0.2%	0.2%	11
99.6%	0.1%	0.3%	12
99.6%	0%	0.3%	13
99.6%	0%	0.4%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample8.0ms (1.8%)

Algorithm

1×

intervals

Results

3.0ms	253×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify12.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune3.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.7%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (*.f64 x 116) 16)

rewrite5.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x 116) 16)

series4.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x 116) 16)

simplify65.0ms (15.4%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4930	146
1	4930	146

prune14.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

Compiler

Compiled 152 to 129 computations (15.1% saved)

localize8.0ms (1.8%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (.f64 x 13456))
13.7b	(/.f64 (+.f64 (.f64 x (.f64 x 13456)) -256) (+.f64 (*.f64 x 116) 16))

rewrite18.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
7×	`pow1_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`associate-r_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

11.0ms	(/.f64 (+.f64 (.f64 x (.f64 x 13456)) -256) (+.f64 (*.f64 x 116) 16))
5.0ms	(.f64 x (.f64 x 13456))

series14.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (+.f64 (.f64 x (.f64 x 13456)) -256) (+.f64 (*.f64 x 116) 16))
3.0ms	(.f64 x (.f64 x 13456))

simplify75.0ms (17.9%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4982	1046
1	4982	1046

prune42.0ms (9.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

Compiler

Compiled 1085 to 867 computations (20.1% saved)

localize7.0ms (1.7%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x 116) 16)
0.0b	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
0.0b	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
0.2b	(.f64 (sqrt.f64 (-.f64 (.f64 x 116) 16)) (sqrt.f64 (-.f64 (*.f64 x 116) 16)))

rewrite29.0ms (7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x 116) 16)) (sqrt.f64 (-.f64 (*.f64 x 116) 16)))
4.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
4.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
4.0ms	(-.f64 (*.f64 x 116) 16)

series20.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

6.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x 116) 16)) (sqrt.f64 (-.f64 (*.f64 x 116) 16)))
5.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
5.0ms	(sqrt.f64 (-.f64 (*.f64 x 116) 16))
4.0ms	(-.f64 (*.f64 x 116) 16)

simplify83.0ms (19.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4916	1568
1	4916	1568

Details

analyze3.0ms (0.7%)

sample8.0ms (1.8%)

simplify12.0ms (2.9%)

prune3.0ms (0.6%)

localize3.0ms (0.7%)

rewrite5.0ms (1.1%)

series4.0ms (0.9%)

simplify65.0ms (15.4%)

prune14.0ms (3.4%)

localize8.0ms (1.8%)

rewrite18.0ms (4.3%)

series14.0ms (3.4%)

simplify75.0ms (17.9%)

prune42.0ms (9.9%)

localize7.0ms (1.7%)

rewrite29.0ms (7%)

series20.0ms (4.7%)

simplify83.0ms (19.7%)

prune9.0ms (2.1%)

Profiling