Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	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
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	72×	body	1024	valid
4.0ms	137×	body	128	valid
2.0ms	24×	body	512	valid
1.0ms	7×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify175.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	681	19
1	681	19

prune2.0ms (0%)

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

Error

28.9b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
0.0b	(/.f64 (+.f64 x 1) (-.f64 x 1))
1.9b	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

rewrite281.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

28.5b

Rules

148×	`*-un-lft-identity_binary64_2806`
88×	`times-frac_binary64_2812`
85×	`add-sqr-sqrt_binary64_2828`
37×	`add-cube-cbrt_binary64_2841`
34×	`cancel-sign-sub-inv_binary64_2772`
27×	`distribute-lft-out_binary64_2757`
22×	`difference-of-squares_binary64_2775` `distribute-lft-out--_binary64_2758`
11×	`associate-/r*_binary64_2750`
9×	`difference-of-sqr-1_binary64_2776`
7×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-/l*_binary64_2751`
6×	`associate-/r/_binary64_2752`
5×	`add-log-exp_binary64_2845`
3×	`pow1_binary64_2867` `flip3--_binary64_2810` `flip--_binary64_2781` `div-inv_binary64_2803`
2×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `flip3-+_binary64_2809` `associate-/l/_binary64_2753` `flip-+_binary64_2780`
1×	`diff-log_binary64_2898` `frac-sub_binary64_2815` `sub-neg_binary64_2799`

Counts

3 → 147

Calls

3 calls:

39.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
11.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 3337 to 2419 computations (27.5% saved)

series155.0ms (1.9%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

57.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
33.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
31.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 1090 to 899 computations (17.5% saved)

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4960	3142
1	4960	3142

prune187.0ms (2.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	178	5	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	5	184

Error

0.0b

Counts

184 → 5

Compiler

Compiled 3465 to 2440 computations (29.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x))) (.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))
0.0b	(*.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))
0.0b	(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
1.9b	(-.f64 (.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x))) (.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))))

rewrite1.8s (22.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

544×	`*-un-lft-identity_binary64_2806`
320×	`times-frac_binary64_2812`
193×	`distribute-lft-out_binary64_2757`
150×	`add-sqr-sqrt_binary64_2828`
106×	`add-cube-cbrt_binary64_2841`
72×	`swap-sqr_binary64_2773`
44×	`associate-l_binary64_2747` `associate-r_binary64_2746`
30×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
20×	`difference-of-sqr--1_binary64_2777`
19×	`associate-/r/_binary64_2752`
18×	`pow1_binary64_2867` `frac-sub_binary64_2815`
14×	`frac-times_binary64_2816` `associate-l/_binary64_2749` `associate-r/_binary64_2748` `difference-of-squares_binary64_2775`
12×	`associate-/r*_binary64_2750`
11×	`associate-/l/_binary64_2753`
9×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `div-inv_binary64_2803` `flip3-+_binary64_2809` `flip-+_binary64_2780`
8×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774`
6×	`add-log-exp_binary64_2845`
4×	`associate-/l*_binary64_2751`
2×	`flip3--_binary64_2810` `flip--_binary64_2781` `pow2_binary64_2887` `pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-plus_binary64_2869` `pow-sqr_binary64_2779` `*-commutative_binary64_2737`
1×	`diff-log_binary64_2898` `sub-neg_binary64_2799` `cancel-sign-sub-inv_binary64_2772` `frac-2neg_binary64_2817` `div-sub_binary64_2811` `clear-num_binary64_2805` `frac-add_binary64_2814`

Counts

4 → 329

Calls

4 calls:

54.0ms	(/.f64 (-.f64 (.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x))) (.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))
29.0ms	(*.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))
19.0ms	(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
16.0ms	(-.f64 (.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x))) (.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))))

Compiler

Compiled 18824 to 13573 computations (27.9% saved)

series356.0ms (4.4%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

109.0ms	(/.f64 (-.f64 (.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x))) (.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))
92.0ms	(-.f64 (.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x))) (.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))))
49.0ms	(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
43.0ms	(*.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))

Compiler

Compiled 2866 to 2251 computations (21.5% saved)

simplify155.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

377 → 377

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4945	13924
1	4945	13924

prune1.5s (18.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	376	1	377
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	376	6	382

Error

0.0b

Counts

382 → 6

Compiler

Compiled 18469 to 13156 computations (28.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x -1))
0.0b	(/.f64 x (+.f64 x 1))
0.1b	(*.f64 (+.f64 x 1) (/.f64 1 (+.f64 x -1)))
5.8b	(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (+.f64 x 1) (/.f64 1 (+.f64 x -1))))

rewrite223.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

58×	`*-un-lft-identity_binary64_2806`
47×	`add-sqr-sqrt_binary64_2828`
44×	`times-frac_binary64_2812`
33×	`add-cube-cbrt_binary64_2841`
21×	`associate-r_binary64_2746`
19×	`add-exp-log_binary64_2844`
13×	`add-cbrt-cube_binary64_2842`
12×	`distribute-lft-out_binary64_2757`
9×	`associate-/r*_binary64_2750`
7×	`pow1_binary64_2867` `flip3-+_binary64_2809` `flip-+_binary64_2780` `difference-of-sqr--1_binary64_2777`
6×	`add-log-exp_binary64_2845` `frac-sub_binary64_2815` `associate-/r/_binary64_2752` `associate-/l*_binary64_2751`
5×	`div-exp_binary64_2857`
4×	`frac-times_binary64_2816` `associate-l/_binary64_2749` `prod-exp_binary64_2855` `associate-l*_binary64_2747`
3×	`cbrt-undiv_binary64_2840` `unswap-sqr_binary64_2774` `div-inv_binary64_2803`
2×	`un-div-inv_binary64_2804` `associate-*r/_binary64_2748` `1-exp_binary64_2850` `rec-exp_binary64_2856` `cbrt-unprod_binary64_2839` `frac-2neg_binary64_2817` `clear-num_binary64_2805`
1×	`diff-log_binary64_2898` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `cancel-sign-sub-inv_binary64_2772` `pow-prod-down_binary64_2877` `*-commutative_binary64_2737` `inv-pow_binary64_2891` `pow-flip_binary64_2880`

Counts

4 → 141

Calls

4 calls:

15.0ms	(*.f64 (+.f64 x 1) (/.f64 1 (+.f64 x -1)))
11.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (+.f64 x 1) (/.f64 1 (+.f64 x -1))))
8.0ms	(/.f64 1 (+.f64 x -1))
5.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 3363 to 2544 computations (24.4% saved)

series201.0ms (2.5%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

61.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (+.f64 x 1) (/.f64 1 (+.f64 x -1))))
34.0ms	(/.f64 x (+.f64 x 1))
32.0ms	(*.f64 (+.f64 x 1) (/.f64 1 (+.f64 x -1)))
30.0ms	(/.f64 1 (+.f64 x -1))

Compiler

Compiled 1620 to 1317 computations (18.7% saved)

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5004	2730

prune202.0ms (2.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	189	6	195

Error

0.0b

Counts

195 → 6

Compiler

Compiled 3738 to 2710 computations (27.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (+.f64 3 x))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
4×	`associate-r_binary64_2746`
3×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `associate-l_binary64_2747`
2×	`associate-*r/_binary64_2748`
1×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-lft-out_binary64_2757` `*-commutative_binary64_2737`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 x (+.f64 3 x))

Compiler

Compiled 295 to 212 computations (28.1% saved)

series41.0ms (0.5%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

38.0ms

(*.f64 x (+.f64 3 x))

Compiler

Compiled 111 to 97 computations (12.6% saved)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4803	245
1	4803	245

prune18.0ms (0.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	29	6	35

Error

0.0b

Counts

35 → 6

Compiler

Compiled 302 to 215 computations (28.8% saved)

regimes319.0ms (4%)

Accuracy

Total 0.1b remaining (73.7%)

Threshold costs 0.1b (73.7%)

Compiler

Compiled 3366 to 2636 computations (21.7% saved)

bsearch44.0ms (0.5%)

Steps

Iters	Range		Point
9	0.03131196071006622	59497.00990350296	1630.155029845001
9	-12342098.943174666	-0.048586174783799035	-29075.666064525398

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	134	110
1	134	110

end0.0ms (0%)

sample2.1s (25.6%)

Algorithm

1×

intervals

Results

225.0ms	1922×	body	1024	valid
140.0ms	4357×	body	128	valid
86.0ms	968×	body	512	valid
32.0ms	222×	body	2048	valid
31.0ms	531×	body	256	valid

Compiler

Compiled 1672 to 1309 computations (21.7% saved)

Details

analyze4.0ms (0.1%)

sample24.0ms (0.3%)

simplify175.0ms (2.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite281.0ms (3.5%)

series155.0ms (1.9%)

simplify78.0ms (1%)

prune187.0ms (2.3%)

localize12.0ms (0.1%)

rewrite1.8s (22.8%)

series356.0ms (4.4%)

simplify155.0ms (1.9%)

prune1.5s (18.5%)

localize8.0ms (0.1%)

rewrite223.0ms (2.8%)

series201.0ms (2.5%)

simplify80.0ms (1%)

prune202.0ms (2.5%)

localize4.0ms (0.1%)

rewrite25.0ms (0.3%)

series41.0ms (0.5%)

simplify66.0ms (0.8%)

prune18.0ms (0.2%)

regimes319.0ms (4%)

bsearch44.0ms (0.5%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.1s (25.6%)

Profiling