Details

analyze41.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	14%	86%	0
0%	14%	86%	1
0%	14%	86%	2
0%	14%	86%	3
0%	14%	86%	4
0%	14%	86%	5
0%	14%	86%	6
8.1%	5.9%	86%	7
10.3%	3.7%	86%	8
12.6%	1.5%	86%	9
13.9%	0.1%	86%	10
14%	0%	86%	11
14%	0%	86%	12
14%	0%	86%	13
14%	0%	86%	14

Compiler

Compiled 63 to 34 computations (46% saved)

sample39.0ms (0.3%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 116 to 64 computations (44.8% saved)

simplify133.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5395	79

prune4.0ms (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

54.5b

Counts

2 → 1

Compiler

Compiled 106 to 54 computations (49.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
0.1b	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
39.1b	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
46.2b	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))

rewrite148.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`times-frac_binary64_2471`
66×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-/r/_binary64_2411`
61×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
46×	`add-sqr-sqrt_binary64_2487`
44×	`*-un-lft-identity_binary64_2465` `frac-times_binary64_2475`
34×	`associate-*r/_binary64_2407`
30×	`add-cube-cbrt_binary64_2500`
28×	`difference-of-squares_binary64_2434`
22×	`associate-*l/_binary64_2408` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
19×	`cbrt-undiv_binary64_2499` `div-exp_binary64_2516`
16×	`pow1_binary64_2526`
14×	`difference-of-sqr-1_binary64_2435` `associate-/l*_binary64_2410`
9×	`associate-/l/_binary64_2412` `div-inv_binary64_2462`
7×	`associate-/r*_binary64_2409`
6×	`associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `pow-prod-down_binary64_2536` `associate-l_binary64_2406`
3×	`swap-sqr_binary64_2432`
2×	`distribute-lft-in_binary64_2414` `*-commutative_binary64_2396` `clear-num_binary64_2464` `distribute-rgt-in_binary64_2415` `frac-2neg_binary64_2476`
1×	`pow-plus_binary64_2528` `flip--_binary64_2440` `unswap-sqr_binary64_2433` `pow2_binary64_2546` `flip3--_binary64_2469` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`

Counts

4 → 228

Calls

4 calls:

39.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
30.0ms	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
13.0ms	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
13.0ms	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))

series2.0s (12.8%)

Counts

4 → 12

Calls

4 calls:

1.6s	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
219.0ms	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
104.0ms	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
52.0ms	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

simplify157.0ms (1%)

Algorithm

1×	egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5261	18181

prune616.0ms (4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	236	4	240
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	237	4	241

Error

37.4b

Counts

241 → 4

Compiler

Compiled 17539 to 6570 computations (62.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))
0.1b	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))
38.4b	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))
38.9b	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

rewrite263.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

414×	`times-frac_binary64_2471`
314×	`add-sqr-sqrt_binary64_2487`
280×	`*-un-lft-identity_binary64_2465`
169×	`add-cube-cbrt_binary64_2500`
111×	`associate-r_binary64_2405`
70×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
62×	`difference-of-squares_binary64_2434`
48×	`associate-/r/_binary64_2411`
42×	`associate-l_binary64_2406`
33×	`cbrt-undiv_binary64_2499` `div-exp_binary64_2516`
31×	`difference-of-sqr-1_binary64_2435` `distribute-lft-out--_binary64_2417`
24×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `div-inv_binary64_2462`
19×	`associate-/l*_binary64_2410`
16×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
13×	`associate-/r*_binary64_2409`
9×	`distribute-lft-out_binary64_2416`
6×	`unswap-sqr_binary64_2433` `pow1_binary64_2526`
5×	`associate-/l/_binary64_2412`
4×	`add-log-exp_binary64_2504`
3×	`associate-*r/_binary64_2407` `clear-num_binary64_2464` `frac-2neg_binary64_2476`
2×	`flip--_binary64_2440` `flip3--_binary64_2469`
1×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `frac-times_binary64_2475` `pow-prod-down_binary64_2536`

Counts

4 → 395

Calls

4 calls:

123.0ms	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))
22.0ms	(/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))
13.0ms	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))
11.0ms	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

series1.9s (12.6%)

Counts

4 → 12

Calls

4 calls:

1.6s	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))
189.0ms	(/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))
104.0ms	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
66.0ms	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))

simplify246.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

407 → 407

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5170	30002

prune1.4s (9.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	403	4	407
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	403	8	411

Error

37.4b

Counts

411 → 8

Compiler

Compiled 32119 to 13002 computations (59.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta))))) (/.f64 (sqrt.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
38.4b	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))
38.7b	(sqrt.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))))
38.7b	(sqrt.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))))

rewrite121.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
59×	`times-frac_binary64_2471`
49×	`*-un-lft-identity_binary64_2465`
42×	`associate-l_binary64_2406`
39×	`add-sqr-sqrt_binary64_2487`
38×	`cbrt-undiv_binary64_2499` `div-exp_binary64_2516`
29×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
28×	`add-cube-cbrt_binary64_2500`
14×	`associate-/r/_binary64_2411`
13×	`associate-r_binary64_2405`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416`
8×	`pow1_binary64_2526`
7×	`div-inv_binary64_2462`
6×	`sqrt-prod_binary64_2481`
4×	`add-log-exp_binary64_2504` `sqrt-div_binary64_2482`
3×	`associate-/r_binary64_2409` `associate-r/_binary64_2407`
2×	`difference-of-squares_binary64_2434` `pow1/2_binary64_2545` `associate-/l/_binary64_2412` `unswap-sqr_binary64_2433` `rem-sqrt-square_binary64_2478` `sqrt-pow1_binary64_2483`
1×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `difference-of-sqr-1_binary64_2435` `frac-times_binary64_2475` `flip--_binary64_2440` `clear-num_binary64_2464` `distribute-lft-out--_binary64_2417` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536` `flip3--_binary64_2469` `associate-/l*_binary64_2410`

Counts

4 → 156

Calls

4 calls:

63.0ms	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta))))) (/.f64 (sqrt.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
13.0ms	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))
4.0ms	(sqrt.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))))
4.0ms	(sqrt.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))))

series1.8s (11.4%)

Counts

4 → 12

Calls

4 calls:

1.6s	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta))))) (/.f64 (sqrt.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
69.0ms	(sqrt.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))))
67.0ms	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))
61.0ms	(sqrt.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))))

simplify146.0ms (1%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4974	9878
1	4974	9878

prune398.0ms (2.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	168	8	176

Error

37.4b

Counts

176 → 8

Compiler

Compiled 12507 to 4786 computations (61.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (/.f64 (sqrt.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))) (.f64 (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)) (/.f64 (sqrt.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))))
38.4b	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))
38.4b	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))
38.9b	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

rewrite198.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`times-frac_binary64_2471`
111×	`sqrt-prod_binary64_2481`
90×	`associate-l_binary64_2406`
86×	`*-un-lft-identity_binary64_2465`
81×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
62×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
30×	`cbrt-undiv_binary64_2499` `div-exp_binary64_2516`
28×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
22×	`associate-/r/_binary64_2411`
14×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
12×	`distribute-lft-out_binary64_2416`
11×	`div-inv_binary64_2462`
9×	`associate-/r_binary64_2409` `associate-r/_binary64_2407` `pow1_binary64_2526`
6×	`associate-/l/_binary64_2412`
5×	`frac-times_binary64_2475` `associate-/l*_binary64_2410`
4×	`add-log-exp_binary64_2504`
3×	`associate-*l/_binary64_2408` `clear-num_binary64_2464` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536`
2×	`sqrt-div_binary64_2482`
1×	`-commutative_binary64_2396` `associate-r*_binary64_2405`

Counts

4 → 217

Calls

4 calls:

93.0ms	(.f64 (/.f64 (sqrt.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))) (.f64 (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)) (/.f64 (sqrt.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))))
14.0ms	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))
13.0ms	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))
11.0ms	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

series1.8s (12%)

Counts

4 → 12

Calls

4 calls:

1.6s	(.f64 (/.f64 (sqrt.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))) (.f64 (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)) (/.f64 (sqrt.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))))
98.0ms	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
66.0ms	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))
64.0ms	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))

simplify195.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4969	17480
1	4969	17480

prune901.0ms (5.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	229	0	229
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	229	8	237

Error

37.4b

Counts

237 → 8

Compiler

Compiled 21166 to 9401 computations (55.6% saved)

regimes559.0ms (3.6%)

Accuracy

Total 2.7b remaining (7.3%)

Threshold costs 0b (0%)

Compiler

Compiled 9940 to 5185 computations (47.8% saved)

bsearch35.0ms (0.2%)

Steps

Iters	Range		Point
8	3.0484555001538813e+187	4.827571513037573e+190	3.084497531162042e+187

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	46	111
1	46	111

end0.0ms (0%)

sample2.2s (14.1%)

Algorithm

1×

intervals

Results

627.0ms	8000×	body	128	valid
184.0ms	8000×	pre	128	true

Compiler

Compiled 2554 to 1329 computations (48% saved)

Details

analyze41.0ms (0.3%)

sample39.0ms (0.3%)

simplify133.0ms (0.9%)

prune4.0ms (0%)

localize15.0ms (0.1%)

rewrite148.0ms (1%)

series2.0s (12.8%)

simplify157.0ms (1%)

prune616.0ms (4%)

localize20.0ms (0.1%)

rewrite263.0ms (1.7%)

series1.9s (12.6%)

simplify246.0ms (1.6%)

prune1.4s (9.2%)

localize20.0ms (0.1%)

rewrite121.0ms (0.8%)

series1.8s (11.4%)

simplify146.0ms (1%)

prune398.0ms (2.6%)

localize25.0ms (0.2%)

rewrite198.0ms (1.3%)

series1.8s (12%)

simplify195.0ms (1.3%)

prune901.0ms (5.9%)

regimes559.0ms (3.6%)

bsearch35.0ms (0.2%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (14.1%)

Profiling