Details

analyze99.0ms (1.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16
0	1	1
1	1	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
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	31×	body	256	valid
5.0ms	155×	body	128	valid
4.0ms	55×	body	512	valid
2.0ms	15×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune3.0ms (0%)

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

13.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
3.8b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite274.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

12.7b

Rules

118×	`*-un-lft-identity_binary64_2465`
95×	`add-sqr-sqrt_binary64_2487`
90×	`times-frac_binary64_2471`
43×	`add-cube-cbrt_binary64_2500`
30×	`distribute-lft-out--_binary64_2417`
27×	`cancel-sign-sub-inv_binary64_2431`
23×	`difference-of-squares_binary64_2434`
11×	`add-exp-log_binary64_2503` `associate-/r*_binary64_2409`
10×	`distribute-lft-out_binary64_2416`
8×	`associate-/r/_binary64_2411`
7×	`add-cbrt-cube_binary64_2501` `difference-of-sqr-1_binary64_2435` `div-inv_binary64_2462`
6×	`associate-/l*_binary64_2410`
5×	`add-log-exp_binary64_2504` `pow1_binary64_2526`
4×	`flip--_binary64_2440` `div-exp_binary64_2516`
3×	`flip3--_binary64_2469`
2×	`flip-+_binary64_2439` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `1-exp_binary64_2509` `rec-exp_binary64_2515` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464`
1×	`diff-log_binary64_2557` `frac-sub_binary64_2474` `sub-neg_binary64_2458` `flip3-+_binary64_2468`

Counts

3 → 151

Calls

3 calls:

34.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 2962 to 2486 computations (16.1% saved)

series164.0ms (2.8%)

Error

0.3b

Counts

3 → 35

Calls

3 calls:

74.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
27.0ms	(/.f64 1 (+.f64 x 1))
27.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 1135 to 971 computations (14.4% saved)

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4930	2785
1	4930	2785

prune184.0ms (3.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	184	2	186
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	185	2	187

Error

0.3b

Counts

187 → 2

Compiler

Compiled 3075 to 2467 computations (19.8% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 (*.f64 x x) 1) (pow.f64 x 4))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

6×	`add-log-exp_binary64_2504`
3×	`sum-log_binary64_2556` `*-un-lft-identity_binary64_2465`
1×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416` `associate-+l+_binary64_2398` `+-commutative_binary64_2395`

Counts

1 → 14

Calls

1 calls:

9.0ms

(+.f64 (+.f64 (*.f64 x x) 1) (pow.f64 x 4))

Compiler

Compiled 281 to 187 computations (33.5% saved)

series30.0ms (0.5%)

Error

0.3b

Counts

1 → 5

Calls

1 calls:

27.0ms

(+.f64 (+.f64 (*.f64 x x) 1) (pow.f64 x 4))

Compiler

Compiled 91 to 84 computations (7.7% saved)

simplify85.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4918	278
1	4918	278

prune19.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Error

0.3b

Counts

21 → 2

Compiler

Compiled 296 to 202 computations (31.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (pow.f64 x 6))
0.1b	(/.f64 2 (pow.f64 x 8))
0.3b	(/.f64 2 (pow.f64 x 4))
0.4b	(/.f64 -2 (*.f64 x x))

rewrite322.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

66×	`times-frac_binary64_2471`
54×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
36×	`unpow-prod-down_binary64_2544`
24×	`add-exp-log_binary64_2503`
22×	`associate-/r*_binary64_2409`
15×	`add-cbrt-cube_binary64_2501`
12×	`associate-/l*_binary64_2410` `sqr-pow_binary64_2437`
11×	`div-exp_binary64_2516`
5×	`cbrt-undiv_binary64_2499`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462`
3×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
1×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 156

Calls

4 calls:

5.0ms	(/.f64 -2 (*.f64 x x))
5.0ms	(/.f64 2 (pow.f64 x 4))
5.0ms	(/.f64 2 (pow.f64 x 6))
4.0ms	(/.f64 2 (pow.f64 x 8))

Compiler

Compiled 4777 to 3640 computations (23.8% saved)

series159.0ms (2.7%)

Error

0.3b

Counts

4 → 12

Calls

4 calls:

45.0ms	(/.f64 2 (pow.f64 x 8))
37.0ms	(/.f64 2 (pow.f64 x 6))
35.0ms	(/.f64 2 (pow.f64 x 4))
29.0ms	(/.f64 -2 (*.f64 x x))

Compiler

Compiled 828 to 674 computations (18.6% saved)

simplify104.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4918	2057
1	4918	2057

prune297.0ms (5.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	166	2	168
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	166	4	170

Error

0.0b

Counts

170 → 4

Compiler

Compiled 4775 to 3627 computations (24% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (pow.f64 x 6))
0.1b	(/.f64 2 (pow.f64 x 8))
0.2b	(/.f64 (/.f64 -2 x) x)
0.3b	(/.f64 2 (pow.f64 x 4))

rewrite473.0ms (8.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

138×	`times-frac_binary64_2471`
94×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
36×	`unpow-prod-down_binary64_2544`
24×	`add-exp-log_binary64_2503` `associate-/r*_binary64_2409`
22×	`associate-/l*_binary64_2410`
15×	`add-cbrt-cube_binary64_2501`
12×	`div-exp_binary64_2516` `sqr-pow_binary64_2437`
8×	`div-inv_binary64_2462`
6×	`cbrt-undiv_binary64_2499`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `frac-2neg_binary64_2476` `clear-num_binary64_2464`
3×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
1×	`associate-/l/_binary64_2412`

Counts

4 → 205

Calls

4 calls:

6.0ms	(/.f64 (/.f64 -2 x) x)
5.0ms	(/.f64 2 (pow.f64 x 4))
5.0ms	(/.f64 2 (pow.f64 x 6))
4.0ms	(/.f64 2 (pow.f64 x 8))

Compiler

Compiled 6456 to 4981 computations (22.8% saved)

series162.0ms (2.8%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

43.0ms	(/.f64 2 (pow.f64 x 8))
41.0ms	(/.f64 2 (pow.f64 x 6))
37.0ms	(/.f64 2 (pow.f64 x 4))
28.0ms	(/.f64 (/.f64 -2 x) x)

Compiler

Compiled 828 to 682 computations (17.6% saved)

simplify103.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5102	2871

prune389.0ms (6.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	213	4	217
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	213	8	221

Error

Counts

221 → 8

Compiler

Compiled 6260 to 4871 computations (22.2% saved)

regimes381.0ms (6.5%)

Accuracy

Total 0.1b remaining (87.4%)

Threshold costs 0.1b (87.4%)

Compiler

Compiled 3804 to 3222 computations (15.3% saved)

bsearch34.0ms (0.6%)

Steps

Iters	Range		Point
9	0.0015080202124480111	237.98438629667803	114.8142218867796
6	-5126912352997041.0	-630990635024740.4	-4125149662004715.0

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	123	70
1	123	70

end0.0ms (0%)

sample2.4s (40.5%)

Algorithm

1×

intervals

Results

166.0ms	1982×	body	512	valid
146.0ms	4624×	body	128	valid
57.0ms	970×	body	256	valid
45.0ms	424×	body	1024	valid

Compiler

Compiled 1895 to 1601 computations (15.5% saved)

Details

analyze99.0ms (1.7%)

sample25.0ms (0.4%)

simplify11.0ms (0.2%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite274.0ms (4.7%)

series164.0ms (2.8%)

simplify74.0ms (1.3%)

prune184.0ms (3.2%)

localize9.0ms (0.2%)

rewrite23.0ms (0.4%)

series30.0ms (0.5%)

simplify85.0ms (1.5%)

prune19.0ms (0.3%)

localize14.0ms (0.2%)

rewrite322.0ms (5.5%)

series159.0ms (2.7%)

simplify104.0ms (1.8%)

prune297.0ms (5.1%)

localize16.0ms (0.3%)

rewrite473.0ms (8.1%)

series162.0ms (2.8%)

simplify103.0ms (1.8%)

prune389.0ms (6.7%)

regimes381.0ms (6.5%)

bsearch34.0ms (0.6%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.4s (40.5%)

Profiling