Details

analyze3.0ms (0.2%)

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
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify174.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	279	13
1	279	13

prune2.0ms (0.1%)

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: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

0.0b

(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

0.1b

(*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

rewrite19.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_3146` `add-sqr-sqrt_binary64_3131`
5×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110` `add-exp-log_binary64_3145` `pow1_binary64_3168` `add-cbrt-cube_binary64_3143`
3×	`associate-l_binary64_3053` `associate-r_binary64_3052`
2×	`associate--r+_binary64_3048` `associate-*r/_binary64_3054` `flip3-+_binary64_3113` `distribute-lft-in_binary64_3061` `distribute-rgt-in_binary64_3062` `flip-+_binary64_3084`
1×	`sub-neg_binary64_3103` `+-commutative_binary64_3042` `prod-exp_binary64_3156` `pow-prod-down_binary64_3178` `cbrt-unprod_binary64_3140` `sum-log_binary64_3198` `diff-log_binary64_3199` `*-commutative_binary64_3043` `unswap-sqr_binary64_3078` `flip3--_binary64_3114` `flip--_binary64_3085`

Counts

3 → 46

Calls

3 calls:

7.0ms

(*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

4.0ms

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

3.0ms

(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

series150.0ms (7.1%)

Counts

3 → 9

Calls

3 calls:

84.0ms

(*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

42.0ms

(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

24.0ms

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

simplify60.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5131	738

prune61.0ms (2.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	6	56

Merged error: 0.0b

Counts

56 → 6

Compiler

Compiled 862 to 687 computations (20.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 1 (+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 x (*.f64 x 1080863910568919/9007199254740992))))

0.0b

(+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 x (*.f64 x 1080863910568919/9007199254740992)))

0.2b

(*.f64 x (*.f64 x 1080863910568919/9007199254740992))

rewrite21.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_3146`
8×	`add-exp-log_binary64_3145` `pow1_binary64_3168` `add-cbrt-cube_binary64_3143`
7×	`*-un-lft-identity_binary64_3110` `add-sqr-sqrt_binary64_3131`
4×	`add-cube-cbrt_binary64_3142`
3×	`prod-exp_binary64_3156` `pow-prod-down_binary64_3178` `cbrt-unprod_binary64_3140` `associate-l_binary64_3053`
2×	`difference-of-squares_binary64_3079` `sum-log_binary64_3198` `diff-log_binary64_3199`
1×	`sub-neg_binary64_3103` `+-commutative_binary64_3042` `distribute-lft-out_binary64_3063` `associate--r+_binary64_3048` `flip3-+_binary64_3113` `-commutative_binary64_3043` `distribute-lft-out--_binary64_3064` `flip3--_binary64_3114` `associate-r*_binary64_3052` `flip-+_binary64_3084` `flip--_binary64_3085`

Counts

3 → 46

Calls

3 calls:

7.0ms

(-.f64 1 (+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 x (*.f64 x 1080863910568919/9007199254740992))))

6.0ms

(*.f64 x (*.f64 x 1080863910568919/9007199254740992))

5.0ms

(+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 x (*.f64 x 1080863910568919/9007199254740992)))

series168.0ms (8%)

Counts

3 → 9

Calls

3 calls:

103.0ms

(+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 x (*.f64 x 1080863910568919/9007199254740992)))

36.0ms

(*.f64 x (*.f64 x 1080863910568919/9007199254740992))

29.0ms

(-.f64 1 (+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 x (*.f64 x 1080863910568919/9007199254740992))))

simplify63.0ms (3%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4925	742
1	4925	742

prune54.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	56	5	61

Merged error: 0.0b

Counts

61 → 5

Compiler

Compiled 852 to 663 computations (22.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 1 (+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 (*.f64 x x) 1080863910568919/9007199254740992)))

0.0b

(+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 (*.f64 x x) 1080863910568919/9007199254740992))

0.2b

(*.f64 (*.f64 x x) 1080863910568919/9007199254740992)

rewrite21.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_3146`
8×	`add-exp-log_binary64_3145` `pow1_binary64_3168` `add-cbrt-cube_binary64_3143` `add-sqr-sqrt_binary64_3131`
7×	`*-un-lft-identity_binary64_3110`
4×	`add-cube-cbrt_binary64_3142`
3×	`prod-exp_binary64_3156` `pow-prod-down_binary64_3178` `cbrt-unprod_binary64_3140` `associate-r_binary64_3052`
2×	`difference-of-squares_binary64_3079` `sum-log_binary64_3198` `diff-log_binary64_3199`
1×	`sub-neg_binary64_3103` `+-commutative_binary64_3042` `associate--r+_binary64_3048` `flip3-+_binary64_3113` `-commutative_binary64_3043` `distribute-lft-out--_binary64_3064` `unswap-sqr_binary64_3078` `associate-l*_binary64_3053` `flip3--_binary64_3114` `flip-+_binary64_3084` `flip--_binary64_3085`

Counts

3 → 46

Calls

3 calls:

7.0ms

(-.f64 1 (+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 (*.f64 x x) 1080863910568919/9007199254740992)))

6.0ms

(*.f64 (*.f64 x x) 1080863910568919/9007199254740992)

5.0ms

(+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 (*.f64 x x) 1080863910568919/9007199254740992))

series158.0ms (7.5%)

Counts

3 → 9

Calls

3 calls:

90.0ms

(+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 (*.f64 x x) 1080863910568919/9007199254740992))

38.0ms

(*.f64 (*.f64 x x) 1080863910568919/9007199254740992)

30.0ms

(-.f64 1 (+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 (*.f64 x x) 1080863910568919/9007199254740992)))

simplify66.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4994	748
1	4994	748

prune51.0ms (2.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	55	5	60

Merged error: 0.0b

Counts

60 → 5

Compiler

Compiled 840 to 632 computations (24.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
0.2b	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
0.2b	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
0.4b	(.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (*.f64 x (sqrt.f64 1080863910568919/9007199254740992)))

rewrite34.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`pow1_binary64_3168`
20×	`add-exp-log_binary64_3145` `add-cbrt-cube_binary64_3143`
19×	`pow-prod-down_binary64_3178`
18×	`add-sqr-sqrt_binary64_3131`
13×	`associate-r_binary64_3052`
10×	`prod-exp_binary64_3156` `cbrt-unprod_binary64_3140` `add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110`
8×	`sqrt-prod_binary64_3125`
7×	`associate-l_binary64_3053`
6×	`add-log-exp_binary64_3146`
4×	`pow-sqr_binary64_3083` `unswap-sqr_binary64_3078` `pow-prod-up_binary64_3177`
3×	`*-commutative_binary64_3043`
2×	`pow-plus_binary64_3170`
1×	`pow2_binary64_3188` `+-commutative_binary64_3042` `swap-sqr_binary64_3077` `flip3-+_binary64_3113` `sum-log_binary64_3198` `flip-+_binary64_3084`

Counts

4 → 89

Calls

4 calls:

10.0ms	(.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (*.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
6.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
6.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
5.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (.f64 x (sqrt.f64 1080863910568919/9007199254740992))))

series328.0ms (15.6%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
88.0ms	(.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (*.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
55.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
50.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))

simplify81.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4915	838
1	4915	838

prune98.0ms (4.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	101	5	106

Merged error: 0.0b

Counts

106 → 5

Compiler

Compiled 1638 to 1310 computations (20% saved)

regimes39.0ms (1.9%)

Compiler: Compiled 232 to 198 computations (14.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	16
1	73	16

end0.0ms (0%)

sample402.0ms (19.1%)

Algorithm

1×

intervals

Results

196.0ms

8000×

body

128

valid

Compiler

Compiled 87 to 75 computations (13.8% saved)

Details

analyze3.0ms (0.2%)

sample16.0ms (0.8%)

simplify174.0ms (8.3%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite19.0ms (0.9%)

series150.0ms (7.1%)

simplify60.0ms (2.9%)

prune61.0ms (2.9%)

localize7.0ms (0.3%)

rewrite21.0ms (1%)

series168.0ms (8%)

simplify63.0ms (3%)

prune54.0ms (2.6%)

localize7.0ms (0.3%)

rewrite21.0ms (1%)

series158.0ms (7.5%)

simplify66.0ms (3.1%)

prune51.0ms (2.4%)

localize8.0ms (0.4%)

rewrite34.0ms (1.6%)

series328.0ms (15.6%)

simplify81.0ms (3.8%)

prune98.0ms (4.7%)

regimes39.0ms (1.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample402.0ms (19.1%)

Profiling