Details

analyze3.9s (13.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5334	427
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	98.2%	1.8%	8
0%	94.3%	5.7%	9
0.4%	93%	6.6%	10
7.4%	83.3%	9.3%	11
12.4%	75.2%	12.4%	12
14.4%	68.9%	16.7%	13
16.8%	65.4%	17.8%	14

Symmetry

(sort A C)

Compiler

Compiled 41 to 33 computations (19.5% saved)

sample191.0ms (0.6%)

Algorithm

1×

intervals

Results

27.0ms	173×	body	128	valid
26.0ms	25×	body	2048	nan
21.0ms	29×	body	1024	valid
20.0ms	23×	body	2048	valid
17.0ms	25×	body	1024	nan
16.0ms	100×	body	128	nan
9.0ms	18×	body	512	valid
9.0ms	18×	body	512	nan
5.0ms	13×	body	256	valid
2.0ms	9×	body	256	nan

Compiler

Compiled 81 to 69 computations (14.8% saved)

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5613	61

prune13.0ms (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

53.1b

Counts

2 → 1

Compiler

Compiled 80 to 59 computations (26.3% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.3b	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)
16.9b	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
20.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
34.3b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

rewrite983.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

50.7b

Rules

66×	`sqrt-div_binary64_3505`
40×	`associate-*r/_binary64_3430`
39×	`*-un-lft-identity_binary64_3488`
36×	`times-frac_binary64_3494`
35×	`add-sqr-sqrt_binary64_3510`
34×	`associate-*l/_binary64_3431`
32×	`add-cube-cbrt_binary64_3523`
31×	`flip3-+_binary64_3491` `flip-+_binary64_3462`
24×	`frac-add_binary64_3496` `frac-times_binary64_3498`
20×	`distribute-neg-frac_binary64_3452` `associate-/l/_binary64_3435`
17×	`pow1_binary64_3549`
16×	`distribute-rgt-neg-in_binary64_3446` `distribute-lft-neg-in_binary64_3445` `flip3--_binary64_3492` `flip--_binary64_3463`
15×	`sqrt-prod_binary64_3504`
12×	`associate-/l*_binary64_3433`
8×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
7×	`pow-prod-down_binary64_3559`
5×	`sqrt-pow1_binary64_3506`
4×	`add-log-exp_binary64_3527` `unpow-prod-down_binary64_3567` `neg-mul-1_binary64_3484`
3×	`distribute-lft-out_binary64_3439` `associate-/r_binary64_3432` `associate-l_binary64_3429` `associate-r*_binary64_3428`
2×	`pow1/2_binary64_3568` `associate-/r/_binary64_3434`
1×	`distribute-lft-out--_binary64_3440` `rem-sqrt-square_binary64_3501` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `neg-sub0_binary64_3483` `div-sub_binary64_3493` `clear-num_binary64_3487` `div-inv_binary64_3485` `distribute-frac-neg_binary64_3451` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `*-commutative_binary64_3419`

Counts

4 → 158

Calls

4 calls:

35.0ms	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
18.0ms	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
13.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
12.0ms	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)

Compiler

Compiled 11876 to 7641 computations (35.7% saved)

series4.8s (16.1%)

Error

29.9b

Counts

4 → 73

Calls

4 calls:

2.3s	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
1.5s	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
376.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
371.0ms	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)

Compiler

Compiled 14385 to 10660 computations (25.9% saved)

simplify180.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4969	13924
1	4969	13924

prune875.0ms (3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	211	20	231
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	212	20	232

Error

28.7b

Counts

232 → 20

Compiler

Compiled 15048 to 8035 computations (46.6% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 -1/2 (/.f64 F A))
0.4b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
12.5b	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

rewrite129.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

28.6b

Rules

23×	`add-sqr-sqrt_binary64_3510`
17×	`associate-r_binary64_3428`
15×	`pow1_binary64_3549`
14×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
10×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `times-frac_binary64_3494`
9×	`associate-l_binary64_3429`
7×	`pow-prod-down_binary64_3559`
6×	`sqrt-pow1_binary64_3506` `sqrt-prod_binary64_3504`
4×	`associate-*r/_binary64_3430` `unswap-sqr_binary64_3456`
3×	`pow1/2_binary64_3568` `add-log-exp_binary64_3527` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
2×	`sqrt-div_binary64_3505` `*-commutative_binary64_3419`
1×	`sqrt-unprod_binary64_3508` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485`

Counts

3 → 72

Calls

3 calls:

9.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
7.0ms	(*.f64 -1/2 (/.f64 F A))
4.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

Compiler

Compiled 1174 to 824 computations (29.8% saved)

series233.0ms (0.8%)

Error

28.7b

Counts

3 → 18

Calls

3 calls:

83.0ms	(*.f64 -1/2 (/.f64 F A))
73.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
66.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

Compiler

Compiled 674 to 676 computations (-0.3% saved)

simplify86.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4948	1045
1	4948	1045

prune169.0ms (0.6%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	83	7	90
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	84	26	110

Error

28.6b

Counts

110 → 26

Compiler

Compiled 2092 to 1493 computations (28.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

12.5b

(sqrt.f64 (neg.f64 (/.f64 F A)))

rewrite53.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

26.5b

Rules

30×	`sqrt-prod_binary64_3504`
18×	`times-frac_binary64_3494`
17×	`add-sqr-sqrt_binary64_3510`
16×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
13×	`distribute-rgt-neg-in_binary64_3446` `distribute-lft-neg-in_binary64_3445`
2×	`pow1_binary64_3549` `div-inv_binary64_3485`
1×	`pow1/2_binary64_3568` `add-log-exp_binary64_3527` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `sqrt-pow1_binary64_3506` `distribute-neg-frac_binary64_3452` `sqrt-div_binary64_3505` `neg-mul-1_binary64_3484` `rem-sqrt-square_binary64_3501`

Counts

1 → 41

Calls

1 calls:

5.0ms

(sqrt.f64 (neg.f64 (/.f64 F A)))

Compiler

Compiled 547 to 221 computations (59.6% saved)

series42.0ms (0.1%)

Error

28.6b

Counts

1 → 6

Calls

1 calls:

39.0ms

(sqrt.f64 (neg.f64 (/.f64 F A)))

Compiler

Compiled 160 to 154 computations (3.8% saved)

simplify172.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	4604	671
1	4604	671

prune115.0ms (0.4%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	41	6	47
Fresh	4	21	25
Picked	0	1	1
Done	0	0	0
Total	45	28	73

Error

26.5b

Counts

73 → 28

Compiler

Compiled 1349 to 818 computations (39.4% saved)

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

0.1b	(sqrt.f64 (/.f64 -1 A))
0.3b	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))

rewrite152.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

26.5b

Rules

36×	`add-sqr-sqrt_binary64_3510` `sqrt-prod_binary64_3504`
21×	`times-frac_binary64_3494`
19×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
16×	`associate-r_binary64_3428`
7×	`pow1_binary64_3549`
6×	`unswap-sqr_binary64_3456` `associate-l_binary64_3429`
4×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
3×	`pow1/2_binary64_3568` `pow-prod-down_binary64_3559` `sqrt-pow1_binary64_3506`
2×	`add-log-exp_binary64_3527` `sqrt-div_binary64_3505` `div-inv_binary64_3485` `rem-sqrt-square_binary64_3501`
1×	`prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `sqrt-unprod_binary64_3508` `associate-r/_binary64_3430` `-commutative_binary64_3419`

Counts

2 → 68

Calls

2 calls:

26.0ms	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))
5.0ms	(sqrt.f64 (/.f64 -1 A))

Compiler

Compiled 1023 to 688 computations (32.7% saved)

series85.0ms (0.3%)

Error

26.5b

Counts

2 → 9

Calls

2 calls:

66.0ms	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))
13.0ms	(sqrt.f64 (/.f64 -1 A))

Compiler

Compiled 277 to 270 computations (2.5% saved)

simplify110.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4831	989
1	4831	989

prune80.0ms (0.3%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	69	8	77
Fresh	6	20	26
Picked	0	1	1
Done	1	0	1
Total	76	29	105

Error

26.5b

Counts

105 → 29

Compiler

Compiled 993 to 644 computations (35.1% saved)

regimes5.0s (17%)

Accuracy

Total 4.7b remaining (15.1%)

Threshold costs 0b (0%)

Compiler

Compiled 35876 to 28248 computations (21.3% saved)

bsearch13.0ms (0%)

Compiler: Compiled 40 to 32 computations (20% saved)

simplify40.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	310	431
1	310	431

Compiler

Compiled 556 to 384 computations (30.9% saved)

end0.0ms (0%)

sample12.0s (40.7%)

Algorithm

1×

intervals

Results

1.0s	5518×	body	128	valid
663.0ms	649×	body	2048	valid
652.0ms	874×	body	1024	valid
556.0ms	759×	body	1024	nan
509.0ms	2851×	body	128	nan
508.0ms	526×	body	2048	nan
330.0ms	609×	body	512	valid
294.0ms	551×	body	512	nan
142.0ms	349×	body	256	valid
115.0ms	339×	body	256	nan
2.0ms	1×	body	4096	valid

Compiler

Compiled 6228 to 4878 computations (21.7% saved)

Details

analyze3.9s (13.2%)

sample191.0ms (0.6%)

simplify56.0ms (0.2%)

prune13.0ms (0%)

localize39.0ms (0.1%)

rewrite983.0ms (3.3%)

series4.8s (16.1%)

simplify180.0ms (0.6%)

prune875.0ms (3%)

localize8.0ms (0%)

rewrite129.0ms (0.4%)

series233.0ms (0.8%)

simplify86.0ms (0.3%)

prune169.0ms (0.6%)

localize5.0ms (0%)

rewrite53.0ms (0.2%)

series42.0ms (0.1%)

simplify172.0ms (0.6%)

prune115.0ms (0.4%)

localize13.0ms (0%)

rewrite152.0ms (0.5%)

series85.0ms (0.3%)

simplify110.0ms (0.4%)

prune80.0ms (0.3%)

regimes5.0s (17%)

bsearch13.0ms (0%)

simplify40.0ms (0.1%)

end0.0ms (0%)

sample12.0s (40.7%)

Profiling