Details

analyze467.0ms (3.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample44.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	173×	body	128	valid
6.0ms	24×	body	2048	valid
5.0ms	25×	body	1024	valid
5.0ms	15×	body	4096	valid
1.0ms	10×	body	512	valid
1.0ms	17×	body	128	invalid
1.0ms	9×	body	256	valid
1.0ms	17×	body	128	nan

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify397.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (304.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

33.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
1.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
2.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite163.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

33.3b

Rules

21×	`add-sqr-sqrt_binary64_2487`
14×	`*-un-lft-identity_binary64_2465`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500`
6×	`sqrt-prod_binary64_2481` `difference-of-squares_binary64_2434` `times-frac_binary64_2471` `associate-/l*_binary64_2410`
5×	`pow1_binary64_2526`
4×	`flip3--_binary64_2469` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431`
3×	`distribute-lft-out--_binary64_2417`
2×	`sqrt-div_binary64_2482` `diff-log_binary64_2557` `sub-neg_binary64_2458` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-/l/_binary64_2412`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/r*_binary64_2409`

Counts

4 → 74

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series731.0ms (5.8%)

Error

7.7b

Counts

4 → 69

Calls

4 calls:

211.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
165.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
155.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
136.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3046 to 2313 computations (24.1% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5055	2790

prune160.0ms (1.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	129	14	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	14	144

Error

7.6b

Counts

144 → 14

Compiler

Compiled 3018 to 1624 computations (46.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
1.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
2.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite900.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

7.6b

Rules

693×	`times-frac_binary64_2471`
439×	`add-sqr-sqrt_binary64_2487`
364×	`*-un-lft-identity_binary64_2465`
290×	`add-cube-cbrt_binary64_2500`
74×	`difference-of-squares_binary64_2434`
71×	`associate-/r*_binary64_2409`
40×	`sqrt-prod_binary64_2481`
37×	`distribute-lft-out--_binary64_2417`
25×	`add-exp-log_binary64_2503`
17×	`div-inv_binary64_2462`
15×	`div-exp_binary64_2516`
13×	`add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504`
6×	`pow1_binary64_2526` `cbrt-undiv_binary64_2499`
5×	`associate-/r/_binary64_2411`
4×	`cancel-sign-sub-inv_binary64_2431`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `1-exp_binary64_2509` `rec-exp_binary64_2515` `associate-/l*_binary64_2410`
2×	`sqrt-div_binary64_2482` `diff-log_binary64_2557` `sub-neg_binary64_2458`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `frac-2neg_binary64_2476` `clear-num_binary64_2464`

Counts

4 → 356

Calls

4 calls:

23.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 14021 to 8305 computations (40.8% saved)

series723.0ms (5.7%)

Error

7.6b

Counts

4 → 69

Calls

4 calls:

209.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
157.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
153.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
146.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3308 to 2575 computations (22.2% saved)

simplify192.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

425 → 425

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4955	17097
1	4955	17097

prune872.0ms (6.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	423	2	425
Fresh	3	10	13
Picked	0	1	1
Done	0	0	0
Total	426	13	439

Error

7.6b

Counts

439 → 13

Compiler

Compiled 13711 to 7607 computations (44.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
1.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
2.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite141.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

7.6b

Rules

28×	`add-sqr-sqrt_binary64_2487`
18×	`*-un-lft-identity_binary64_2465`
14×	`add-cube-cbrt_binary64_2500`
13×	`associate-r_binary64_2405`
10×	`times-frac_binary64_2471`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504`
7×	`pow1_binary64_2526`
6×	`associate-l_binary64_2406`
5×	`flip3--_binary64_2469` `flip--_binary64_2440` `sqrt-prod_binary64_2481`
4×	`difference-of-squares_binary64_2434` `cancel-sign-sub-inv_binary64_2431`
2×	`sqrt-div_binary64_2482` `diff-log_binary64_2557` `sub-neg_binary64_2458` `distribute-lft-out--_binary64_2417` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `frac-times_binary64_2475` `unswap-sqr_binary64_2433` `associate-*l/_binary64_2408`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `pow-prod-down_binary64_2536` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-r/_binary64_2407` `div-inv_binary64_2462` `-commutative_binary64_2396`

Counts

4 → 83

Calls

4 calls:

14.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2366 to 1383 computations (41.5% saved)

series699.0ms (5.6%)

Error

7.6b

Counts

4 → 69

Calls

4 calls:

214.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
151.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
148.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
135.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3046 to 2313 computations (24.1% saved)

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4993	3036
1	4993	3036

prune155.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	149	3	152
Fresh	3	8	11
Picked	0	1	1
Done	0	1	1
Total	152	13	165

Error

7.6b

Counts

165 → 13

Compiler

Compiled 3200 to 1716 computations (46.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (sqrt.f64 1/2) a)
1.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
2.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite142.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

7.6b

Rules

26×	`add-sqr-sqrt_binary64_2487`
23×	`*-un-lft-identity_binary64_2465`
21×	`add-cube-cbrt_binary64_2500`
18×	`times-frac_binary64_2471`
16×	`sqrt-prod_binary64_2481`
8×	`add-log-exp_binary64_2504`
6×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-/l*_binary64_2410`
5×	`pow1_binary64_2526`
4×	`cancel-sign-sub-inv_binary64_2431`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `associate-/r*_binary64_2409`
2×	`sqrt-div_binary64_2482` `diff-log_binary64_2557` `sub-neg_binary64_2458` `difference-of-squares_binary64_2434`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `distribute-lft-out--_binary64_2417` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462`

Counts

4 → 83

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(/.f64 (sqrt.f64 1/2) a)

Compiler

Compiled 2435 to 1472 computations (39.5% saved)

series560.0ms (4.5%)

Error

7.6b

Counts

4 → 55

Calls

4 calls:

169.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
156.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
139.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
38.0ms	(/.f64 (sqrt.f64 1/2) a)

Compiler

Compiled 3035 to 2438 computations (19.7% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4924	2095
1	4924	2095

prune165.0ms (1.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	4	6	10
Picked	0	1	1
Done	0	2	2
Total	139	12	151

Error

7.4b

Counts

151 → 12

Compiler

Compiled 3239 to 1982 computations (38.8% saved)

regimes1.8s (14.6%)

Accuracy

Total 4.4b remaining (44.3%)

Threshold costs 0b (0%)

Compiler

Compiled 12908 to 9846 computations (23.7% saved)

bsearch62.0ms (0.5%)

Steps

Iters	Range		Point
6	4.506395671377052e-64	4.207723813353611e-63	1.7464220447169885e-63
8	-2.975373334087326e+126	-4.944510384907234e+123	-2.0362182003131042e+126

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	93	52
1	93	52

end0.0ms (0%)

sample3.9s (30.8%)

Algorithm

1×

intervals

Results

287.0ms	5199×	body	128	valid
286.0ms	1118×	body	2048	valid
144.0ms	729×	body	1024	valid
138.0ms	429×	body	4096	valid
54.0ms	347×	body	512	valid
38.0ms	654×	body	128	nan
20.0ms	396×	body	128	invalid
18.0ms	178×	body	256	valid

Compiler

Compiled 3270 to 2491 computations (23.8% saved)

Details

analyze467.0ms (3.7%)

sample44.0ms (0.4%)

simplify397.0ms (3.2%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite163.0ms (1.3%)

series731.0ms (5.8%)

simplify90.0ms (0.7%)

prune160.0ms (1.3%)

localize12.0ms (0.1%)

rewrite900.0ms (7.2%)

series723.0ms (5.7%)

simplify192.0ms (1.5%)

prune872.0ms (6.9%)

localize11.0ms (0.1%)

rewrite141.0ms (1.1%)

series699.0ms (5.6%)

simplify79.0ms (0.6%)

prune155.0ms (1.2%)

localize16.0ms (0.1%)

rewrite142.0ms (1.1%)

series560.0ms (4.5%)

simplify65.0ms (0.5%)

prune165.0ms (1.3%)

regimes1.8s (14.6%)

bsearch62.0ms (0.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.9s (30.8%)

Profiling