Details

analyze114.0ms (6.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	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 12 to 10 computations (16.7% saved)

sample21.0ms (1.2%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite168.0ms (9.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

67×	`*-un-lft-identity_binary64_2806`
41×	`times-frac_binary64_2812`
40×	`add-sqr-sqrt_binary64_2828`
24×	`add-cube-cbrt_binary64_2841`
12×	`distribute-lft-out_binary64_2757`
11×	`associate-/r*_binary64_2750`
9×	`add-exp-log_binary64_2844`
8×	`difference-of-squares_binary64_2775`
7×	`add-cbrt-cube_binary64_2842`
6×	`associate-/l*_binary64_2751` `distribute-lft-out--_binary64_2758`
5×	`add-log-exp_binary64_2845`
4×	`pow1_binary64_2867` `associate-/r/_binary64_2752` `difference-of-sqr-1_binary64_2776`
3×	`div-exp_binary64_2857` `div-inv_binary64_2803`
2×	`cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `flip3-+_binary64_2809` `flip-+_binary64_2780`
1×	`inv-pow_binary64_2891` `pow-flip_binary64_2880` `1-exp_binary64_2850` `rec-exp_binary64_2856` `flip3--_binary64_2810` `flip--_binary64_2781` `sum-log_binary64_2897` `frac-add_binary64_2814` `+-commutative_binary64_2736`

Counts

3 → 100

Calls

3 calls:

32.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 1870 to 1402 computations (25% saved)

series80.0ms (4.6%)

Error

Counts

3 → 15

Calls

3 calls:

24.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
23.0ms	(/.f64 x (+.f64 x 1))
16.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 357 to 301 computations (15.7% saved)

simplify96.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4917	1486
1	4917	1486

prune164.0ms (9.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	2	116

Error

Counts

116 → 2

Compiler

Compiled 1831 to 1350 computations (26.3% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 2 (.f64 x x))

rewrite22.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
3×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `add-sqr-sqrt_binary64_2828` `associate-l_binary64_2747`
2×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
1×	`add-log-exp_binary64_2845` `unswap-sqr_binary64_2774` `associate-r_binary64_2746` `*-commutative_binary64_2737`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 2 (*.f64 x x))

Compiler

Compiled 231 to 151 computations (34.6% saved)

series42.0ms (2.4%)

Error

Counts

1 → 3

Calls

1 calls:

38.0ms

(*.f64 2 (*.f64 x x))

Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify69.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5069	180

prune19.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 214 to 150 computations (29.9% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Compiler

Compiled 0 to 0 computations (0% saved)

regimes47.0ms (2.7%)

Accuracy

Total 0.0b remaining (95.1%)

Threshold costs 0.0b (95.1%)

Compiler

Compiled 392 to 326 computations (16.8% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	54
1	24	54

end0.0ms (0%)

sample880.0ms (50%)

Algorithm

1×

intervals

Results

300.0ms

8000×

body

128

valid

Compiler

Compiled 232 to 192 computations (17.2% saved)

Details

analyze114.0ms (6.4%)

sample21.0ms (1.2%)

simplify8.0ms (0.4%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite168.0ms (9.5%)

series80.0ms (4.6%)

simplify96.0ms (5.4%)

prune164.0ms (9.3%)

localize8.0ms (0.5%)

rewrite22.0ms (1.2%)

series42.0ms (2.4%)

simplify69.0ms (3.9%)

prune19.0ms (1.1%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.4%)

prune0.0ms (0%)

regimes47.0ms (2.7%)

bsearch0.0ms (0%)

simplify7.0ms (0.4%)

end0.0ms (0%)

sample880.0ms (50%)

Profiling