Details

analyze4.0ms (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)

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify112.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	289	13
1	289	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)))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_2828` `add-log-exp_binary64_2845`
5×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
3×	`associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`associate--r+_binary64_2742` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `flip-+_binary64_2780` `flip3-+_binary64_2809` `associate-*r/_binary64_2748`
1×	`cancel-sign-sub-inv_binary64_2772` `*-commutative_binary64_2737` `flip3--_binary64_2810` `diff-log_binary64_2898` `prod-exp_binary64_2855` `sub-neg_binary64_2799` `cbrt-unprod_binary64_2839` `sum-log_binary64_2897` `flip--_binary64_2781` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774` `+-commutative_binary64_2736`

Counts

3 → 47

Calls

3 calls:

6.0ms

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

3.0ms

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

3.0ms

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

series80.0ms (3.7%)

Counts

3 → 15

Calls

3 calls:

28.0ms

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

28.0ms

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

24.0ms

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

Compiler

Compiled 217 to 202 computations (6.9% saved)

simplify75.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4876	751
1	4876	751

prune70.0ms (3.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

Compiler

Compiled 877 to 691 computations (21.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

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

0.0b

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

0.2b

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

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_2845`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
4×	`add-sqr-sqrt_binary64_2828` `diff-log_binary64_2898` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
3×	`cancel-sign-sub-inv_binary64_2772` `prod-exp_binary64_2855` `sub-neg_binary64_2799` `cbrt-unprod_binary64_2839` `associate-r_binary64_2746` `pow-prod-down_binary64_2877`
2×	`associate--l+_binary64_2743` `flip3--_binary64_2810` `flip--_binary64_2781`
1×	`associate-l_binary64_2747` `*-commutative_binary64_2737` `associate--l-_binary64_2744`

Counts

3 → 46

Calls

3 calls:

6.0ms

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

5.0ms

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

3.0ms

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

series70.0ms (3.3%)

Counts

3 → 12

Calls

3 calls:

28.0ms

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

28.0ms

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

15.0ms

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

Compiler

Compiled 204 to 182 computations (10.8% saved)

simplify63.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4887	636
1	4887	636

prune56.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	58	5	63

Merged error: 0b

Counts

63 → 5

Compiler

Compiled 838 to 644 computations (23.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

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

0.0b

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

0.2b

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

rewrite18.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_2845`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
5×	`add-sqr-sqrt_binary64_2828`
4×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
3×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-r_binary64_2746` `pow-prod-down_binary64_2877`
2×	`cancel-sign-sub-inv_binary64_2772` `associate-+l+_binary64_2739` `diff-log_binary64_2898` `sub-neg_binary64_2799` `sum-log_binary64_2897`
1×	`associate-l_binary64_2747` `*-commutative_binary64_2737` `flip3--_binary64_2810` `associate-+l-_binary64_2741` `flip-+_binary64_2780` `flip--_binary64_2781` `flip3-+_binary64_2809` `unswap-sqr_binary64_2774` `+-commutative_binary64_2736`

Counts

3 → 46

Calls

3 calls:

6.0ms

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

6.0ms

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

3.0ms

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

series63.0ms (2.9%)

Counts

3 → 12

Calls

3 calls:

24.0ms

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

23.0ms

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

16.0ms

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

Compiler

Compiled 204 to 182 computations (10.8% saved)

simplify42.0ms (2%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5068	636

prune49.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	58	5	63

Merged error: 0b

Counts

63 → 5

Compiler

Compiled 832 to 610 computations (26.7% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
0.3b	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)
0.4b	(.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
6.5b	(/.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

rewrite32.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
15×	`add-sqr-sqrt_binary64_2828`
13×	`pow1_binary64_2867`
11×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
9×	`associate-l_binary64_2747`
7×	`associate-r_binary64_2746`
6×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
5×	`pow-prod-down_binary64_2877`
4×	`add-log-exp_binary64_2845` `associate-*r/_binary64_2748`
3×	`times-frac_binary64_2812` `-commutative_binary64_2737` `flip3--_binary64_2810` `associate-/r_binary64_2750` `flip--_binary64_2781`
2×	`associate-/l/_binary64_2753` `cancel-sign-sub-inv_binary64_2772` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `sub-neg_binary64_2799` `associate-/r/_binary64_2752` `unswap-sqr_binary64_2774`
1×	`div-inv_binary64_2803` `clear-num_binary64_2805` `associate-/l*_binary64_2751` `frac-2neg_binary64_2817`

Counts

4 → 85

Calls

4 calls:

9.0ms	(/.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
6.0ms	(.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
5.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
4.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

series124.0ms (5.7%)

Counts

4 → 14

Calls

4 calls:

40.0ms	(/.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
34.0ms	(.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
28.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
22.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

Compiler

Compiled 388 to 343 computations (11.6% saved)

simplify72.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4893	1269
1	4893	1269

prune108.0ms (5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	99	5	104

Merged error: 0b

Counts

104 → 5

Compiler

Compiled 2028 to 1580 computations (22.1% saved)

regimes158.0ms (7.3%)

Compiler: Compiled 1336 to 1140 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	67	16
1	67	16

end0.0ms (0%)

sample880.0ms (40.7%)

Algorithm

1×

intervals

Results

352.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 410 to 349 computations (14.9% saved)

Details

analyze4.0ms (0.2%)

sample13.0ms (0.6%)

simplify112.0ms (5.2%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite16.0ms (0.7%)

series80.0ms (3.7%)

simplify75.0ms (3.5%)

prune70.0ms (3.2%)

localize7.0ms (0.3%)

rewrite18.0ms (0.8%)

series70.0ms (3.3%)

simplify63.0ms (2.9%)

prune56.0ms (2.6%)

localize7.0ms (0.3%)

rewrite18.0ms (0.9%)

series63.0ms (2.9%)

simplify42.0ms (2%)

prune49.0ms (2.3%)

localize11.0ms (0.5%)

rewrite32.0ms (1.5%)

series124.0ms (5.7%)

simplify72.0ms (3.3%)

prune108.0ms (5%)

regimes158.0ms (7.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample880.0ms (40.7%)

Profiling