Details

analyze461.0ms (5.1%)

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)

sample43.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	37×	body	2048	valid
8.0ms	159×	body	128	valid
6.0ms	19×	body	4096	valid
3.0ms	18×	body	1024	valid
2.0ms	11×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	22×	body	128	nan
1.0ms	13×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify417.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (325.0ms)

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

37.8b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.8b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
25.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite142.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

37.5b

Rules

24×	`*-un-lft-identity_binary64_760`
15×	`add-sqr-sqrt_binary64_782`
14×	`add-cube-cbrt_binary64_795`
12×	`times-frac_binary64_766`
8×	`add-log-exp_binary64_799`
6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
5×	`pow1_binary64_821` `distribute-lft-out_binary64_711`
4×	`associate-/l*_binary64_705`
3×	`sqrt-prod_binary64_776` `associate-/r*_binary64_704`
2×	`flip3--_binary64_764` `sqrt-div_binary64_777` `flip--_binary64_735` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l/_binary64_707`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `sum-log_binary64_851` `+-commutative_binary64_690` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

4 → 72

Calls

4 calls:

8.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
5.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2053 to 1050 computations (48.9% saved)

series546.0ms (6.1%)

Error

9.5b

Counts

4 → 59

Calls

4 calls:

161.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
139.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
105.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
96.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2303 to 1771 computations (23.1% saved)

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4911	2414
1	4911	2414

prune143.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	121	10	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	10	132

Error

9.3b

Counts

132 → 10

Compiler

Compiled 2679 to 1432 computations (46.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.6b	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
11.7b	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
25.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite243.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

9.3b

Rules

66×	`times-frac_binary64_766`
53×	`add-sqr-sqrt_binary64_782`
40×	`*-un-lft-identity_binary64_760`
28×	`add-cube-cbrt_binary64_795`
27×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
13×	`associate-/l*_binary64_705`
12×	`difference-of-squares_binary64_729`
10×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/r/_binary64_706`
9×	`sqrt-prod_binary64_776` `associate-/r*_binary64_704`
7×	`flip3--_binary64_764` `flip--_binary64_735`
6×	`add-log-exp_binary64_799` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `distribute-lft-out--_binary64_712` `div-inv_binary64_757`
5×	`pow1_binary64_821`
2×	`sqrt-div_binary64_777` `frac-2neg_binary64_771` `clear-num_binary64_759`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `associate-/l/_binary64_707` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 128

Calls

4 calls:

16.0ms	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
11.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
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 4938 to 2474 computations (49.9% saved)

series792.0ms (8.8%)

Error

9.3b

Counts

4 → 62

Calls

4 calls:

236.0ms	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
236.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
145.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
125.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3421 to 2446 computations (28.5% saved)

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5132	5306

prune231.0ms (2.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	193	7	200

Error

9.3b

Counts

200 → 7

Compiler

Compiled 5392 to 2832 computations (47.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.8b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
25.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite247.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

9.3b

Rules

102×	`times-frac_binary64_766`
82×	`*-un-lft-identity_binary64_760`
57×	`add-sqr-sqrt_binary64_782`
56×	`add-cube-cbrt_binary64_795`
18×	`associate-/r*_binary64_704`
15×	`add-exp-log_binary64_798`
13×	`distribute-lft-out_binary64_711`
9×	`add-cbrt-cube_binary64_796` `associate-/r/_binary64_706`
8×	`add-log-exp_binary64_799`
7×	`div-exp_binary64_811`
6×	`pow1_binary64_821`
5×	`flip3-+_binary64_763` `flip-+_binary64_734` `div-inv_binary64_757`
3×	`sqrt-prod_binary64_776` `cbrt-undiv_binary64_794` `associate-/l*_binary64_705`
2×	`flip3--_binary64_764` `sqrt-div_binary64_777` `flip--_binary64_735` `1-exp_binary64_804` `rec-exp_binary64_810`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `sum-log_binary64_851` `+-commutative_binary64_690` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `inv-pow_binary64_845` `pow-flip_binary64_834` `frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

4 → 135

Calls

4 calls:

11.0ms	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
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 4590 to 2591 computations (43.6% saved)

series536.0ms (6%)

Error

9.3b

Counts

4 → 59

Calls

4 calls:

154.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
136.0ms	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
105.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
100.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2537 to 2007 computations (20.9% saved)

simplify102.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5035	4900

prune220.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	194	7	201

Error

9.3b

Counts

201 → 7

Compiler

Compiled 4819 to 2675 computations (44.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
0.0b	(*.f64 2 (/.f64 c b))

rewrite60.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

9.3b

Rules

16×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-sqr-sqrt_binary64_782`
14×	`associate-r_binary64_700`
11×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
10×	`times-frac_binary64_766`
9×	`pow1_binary64_821`
7×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
6×	`associate-l_binary64_701`
4×	`pow-prod-down_binary64_831`
3×	`associate-*r/_binary64_702`
2×	`div-exp_binary64_811` `add-log-exp_binary64_799` `cbrt-undiv_binary64_794` `unswap-sqr_binary64_728` `*-commutative_binary64_691`
1×	`div-inv_binary64_757`

Counts

2 → 53

Calls

2 calls:

8.0ms	(.f64 -1/2 (.f64 2 (/.f64 c b)))
7.0ms	(*.f64 2 (/.f64 c b))

Compiler

Compiled 718 to 438 computations (39% saved)

series106.0ms (1.2%)

Error

9.3b

Counts

2 → 12

Calls

2 calls:

56.0ms	(*.f64 2 (/.f64 c b))
45.0ms	(.f64 -1/2 (.f64 2 (/.f64 c b)))

Compiler

Compiled 216 to 208 computations (3.7% saved)

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5124	569

prune43.0ms (0.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	60	5	65
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	60	12	72

Error

9.3b

Counts

72 → 12

Compiler

Compiled 619 to 318 computations (48.6% saved)

regimes1.2s (13.3%)

Accuracy

Total 1.3b remaining (19.2%)

Threshold costs 0b (0%)

Compiler

Compiled 9040 to 6606 computations (26.9% saved)

bsearch59.0ms (0.7%)

Steps

Iters	Range		Point
3	4.554776889888666e+77	6.297399501157076e+77	5.728796597759453e+77
9	2.0162235541411197e-290	4.779149853212573e-283	1.4205734994238377e-288
2	-1.6072096567209718e+64	-1.414166646279074e+64	-1.486557775194786e+64

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	127	93
1	127	93

end0.0ms (0%)

sample3.1s (34.7%)

Algorithm

1×

intervals

Results

287.0ms	1157×	body	2048	valid
265.0ms	5211×	body	128	valid
139.0ms	708×	body	1024	valid
122.0ms	392×	body	4096	valid
56.0ms	355×	body	512	valid
32.0ms	681×	body	128	nan
20.0ms	405×	body	128	invalid
20.0ms	177×	body	256	valid

Compiler

Compiled 2372 to 1726 computations (27.2% saved)

Details

analyze461.0ms (5.1%)

sample43.0ms (0.5%)

simplify417.0ms (4.6%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite142.0ms (1.6%)

series546.0ms (6.1%)

simplify97.0ms (1.1%)

prune143.0ms (1.6%)

localize12.0ms (0.1%)

rewrite243.0ms (2.7%)

series792.0ms (8.8%)

simplify75.0ms (0.8%)

prune231.0ms (2.6%)

localize12.0ms (0.1%)

rewrite247.0ms (2.8%)

series536.0ms (6%)

simplify102.0ms (1.1%)

prune220.0ms (2.5%)

localize5.0ms (0.1%)

rewrite60.0ms (0.7%)

series106.0ms (1.2%)

simplify55.0ms (0.6%)

prune43.0ms (0.5%)

regimes1.2s (13.3%)

bsearch59.0ms (0.7%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.1s (34.7%)

Profiling