Details

analyze1.2s (8.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	96
0	3	3
1	3	3

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)

sample80.0ms (0.6%)

Algorithm

1×

intervals

Results

24.0ms	51×	body	2048	valid
14.0ms	147×	body	128	valid
9.0ms	26×	body	1024	valid
6.0ms	11×	body	4096	valid
4.0ms	14×	body	512	valid
2.0ms	22×	body	128	nan
1.0ms	7×	body	256	valid
1.0ms	10×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify603.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (593.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune7.0ms (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

36.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize27.0ms (0.2%)

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 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
1.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite63.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

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×	`difference-of-squares_binary64_2434` `times-frac_binary64_2471` `sqrt-prod_binary64_2481` `associate-/l*_binary64_2410`
5×	`pow1_binary64_2526`
4×	`flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431` `flip3--_binary64_2469`
3×	`distribute-lft-out--_binary64_2417`
2×	`associate-/l/_binary64_2412` `cbrt-undiv_binary64_2499` `sub-neg_binary64_2458` `div-exp_binary64_2516` `diff-log_binary64_2557` `sqrt-div_binary64_2482`
1×	`associate-/r*_binary64_2409` `pow1/2_binary64_2545` `clear-num_binary64_2464` `div-sub_binary64_2470` `div-inv_binary64_2462` `rem-sqrt-square_binary64_2478` `prod-exp_binary64_2514` `frac-2neg_binary64_2476` `sqrt-pow1_binary64_2483` `cbrt-unprod_binary64_2498`

Counts

4 → 74

Calls

4 calls:

22.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
15.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series1.2s (8.2%)

Counts

4 → 71

Calls

4 calls:

368.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
282.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
271.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
270.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2110 to 1780 computations (15.6% saved)

simplify137.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4978	2921
1	4978	2921

prune335.0ms (2.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	134	11	145
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	11	146

Error

4.5b

Counts

146 → 11

Compiler

Compiled 3086 to 1768 computations (42.7% saved)

localize6.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune22.0ms (0.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	10	10
Picked	1	1
Done	0	0
Total	11	11

Error

4.5b

Counts

11 → 11

Compiler

Compiled 217 to 165 computations (24% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b) 2)))
1.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
1.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite187.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

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×	`cbrt-undiv_binary64_2499` `pow1_binary64_2526`
5×	`associate-/r/_binary64_2411`
4×	`cancel-sign-sub-inv_binary64_2431`
3×	`flip--_binary64_2440` `rec-exp_binary64_2515` `flip3--_binary64_2469` `associate-/l*_binary64_2410` `1-exp_binary64_2509`
2×	`sub-neg_binary64_2458` `diff-log_binary64_2557` `sqrt-div_binary64_2482`
1×	`inv-pow_binary64_2550` `pow1/2_binary64_2545` `pow-flip_binary64_2539` `clear-num_binary64_2464` `rem-sqrt-square_binary64_2478` `frac-2neg_binary64_2476` `sqrt-pow1_binary64_2483`

Counts

4 → 356

Calls

4 calls:

42.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b) 2)))
15.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series1.2s (8.2%)

Counts

4 → 71

Calls

4 calls:

374.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b) 2)))
286.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
269.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
265.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2270 to 1940 computations (14.5% saved)

simplify365.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

427 → 427

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4995	17228
1	4995	17228

prune1.6s (11%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	423	4	427
Fresh	4	5	9
Picked	0	1	1
Done	0	1	1
Total	427	11	438

Error

4.5b

Counts

438 → 11

Compiler

Compiled 13750 to 8256 computations (40% saved)

localize22.0ms (0.2%)

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 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
1.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite73.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

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×	`sqrt-prod_binary64_2481` `flip--_binary64_2440` `flip3--_binary64_2469`
4×	`difference-of-squares_binary64_2434` `cancel-sign-sub-inv_binary64_2431`
2×	`associate-*l/_binary64_2408` `frac-times_binary64_2475` `distribute-lft-out--_binary64_2417` `sub-neg_binary64_2458` `unswap-sqr_binary64_2433` `diff-log_binary64_2557` `prod-exp_binary64_2514` `sqrt-div_binary64_2482` `cbrt-unprod_binary64_2498`
1×	`-commutative_binary64_2396` `pow1/2_binary64_2545` `associate-r/_binary64_2407` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `rem-sqrt-square_binary64_2478` `pow-prod-down_binary64_2536` `sqrt-pow1_binary64_2483`

Counts

4 → 83

Calls

4 calls:

26.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
15.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
11.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

series1.2s (8.1%)

Counts

4 → 71

Calls

4 calls:

364.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
284.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
273.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
259.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

Compiler

Compiled 2110 to 1780 computations (15.6% saved)

simplify145.0ms (1%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4980	3167
1	4980	3167

prune260.0ms (1.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	154	11	165

Error

4.5b

Counts

165 → 11

Compiler

Compiled 3097 to 1737 computations (43.9% saved)

regimes1.7s (11.8%)

Accuracy

Total 4.2b remaining (43.1%)

Threshold costs 0b (0%)

Compiler

Compiled 4104 to 3282 computations (20% saved)

bsearch116.0ms (0.8%)

Steps

Iters	Range		Point
9	7.072286000611734e-94	2.5277660571473974e-85	8.363763603956312e-87
8	-5.813356729419318e+127	-3.685760725423458e+124	-1.1308221896935463e+125

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	101	58
1	101	58

end0.0ms (0%)

sample3.9s (26.8%)

Algorithm

1×

intervals

Results

516.0ms	1118×	body	2048	valid
505.0ms	5253×	body	128	valid
267.0ms	724×	body	1024	valid
223.0ms	385×	body	4096	valid
99.0ms	351×	body	512	valid
63.0ms	661×	body	128	nan
34.0ms	354×	body	128	invalid
30.0ms	169×	body	256	valid

Compiler

Compiled 1073 to 853 computations (20.5% saved)

Details

analyze1.2s (8.6%)

sample80.0ms (0.6%)

simplify603.0ms (4.2%)

prune7.0ms (0%)

localize27.0ms (0.2%)

rewrite63.0ms (0.4%)

series1.2s (8.2%)

simplify137.0ms (0.9%)

prune335.0ms (2.3%)

localize6.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify12.0ms (0.1%)

prune22.0ms (0.2%)

localize28.0ms (0.2%)

rewrite187.0ms (1.3%)

series1.2s (8.2%)

simplify365.0ms (2.5%)

prune1.6s (11%)

localize22.0ms (0.2%)

rewrite73.0ms (0.5%)

series1.2s (8.1%)

simplify145.0ms (1%)

prune260.0ms (1.8%)

regimes1.7s (11.8%)

bsearch116.0ms (0.8%)

simplify6.0ms (0%)

end0.0ms (0%)

sample3.9s (26.8%)

Profiling