Details

analyze906.0ms (9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4983	154
1	4983	154
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
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5230	22

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

27.9b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.2b	(-.f64 (.f64 b c) (.f64 a d))
27.4b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite83.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

27.8b

Rules

11×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
9×	`times-frac_binary64_766`
7×	`add-log-exp_binary64_799`
5×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`pow1_binary64_821` `associate-/l_binary64_705` `associate-/r_binary64_704`
2×	`flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735` `flip3-+_binary64_763` `associate-/r/_binary64_706` `flip-+_binary64_734`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

3 → 55

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 c c) (.f64 d d))
3.0ms	(-.f64 (.f64 b c) (.f64 a d))

Compiler

Compiled 1509 to 201 computations (86.7% saved)

series594.0ms (5.9%)

Error

4.9b

Counts

3 → 63

Calls

3 calls:

315.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
142.0ms	(-.f64 (.f64 b c) (.f64 a d))
91.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 2250 to 1441 computations (36% saved)

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	6114	2125

prune92.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	110	8	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	9	119

Error

4.8b

Counts

119 → 9

Compiler

Compiled 2287 to 317 computations (86.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 c b) (.f64 d a))
18.7b	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
28.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
28.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite105.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

4.8b

Rules

23×	`add-sqr-sqrt_binary64_782`
21×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
18×	`sqrt-prod_binary64_776` `times-frac_binary64_766`
6×	`pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `sqrt-div_binary64_777` `associate-/r*_binary64_704`
3×	`flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l*_binary64_705`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735` `associate-/r/_binary64_706`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 86

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(-.f64 (.f64 c b) (.f64 d a))

Compiler

Compiled 3272 to 353 computations (89.2% saved)

series922.0ms (9.2%)

Error

4.8b

Counts

4 → 96

Calls

4 calls:

420.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
153.0ms	(-.f64 (.f64 c b) (.f64 d a))
131.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
128.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 6036 to 3249 computations (46.2% saved)

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4974	3816
1	4974	3816

prune164.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	177	5	182
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	181	10	191

Error

4.8b

Counts

191 → 10

Compiler

Compiled 5540 to 836 computations (84.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (.f64 c b) (.f64 d a))))
18.8b	(/.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (.f64 c b) (.f64 d a)))
28.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
28.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite279.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

4.8b

Rules

162×	`times-frac_binary64_766`
100×	`add-sqr-sqrt_binary64_782`
98×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
54×	`sqrt-prod_binary64_776`
27×	`associate-/r*_binary64_704`
17×	`add-exp-log_binary64_798`
11×	`add-cbrt-cube_binary64_796` `associate-/r/_binary64_706`
9×	`associate-/l*_binary64_705`
8×	`div-exp_binary64_811`
7×	`pow1_binary64_821`
6×	`sqrt-div_binary64_777` `div-inv_binary64_757`
5×	`flip3--_binary64_764` `flip--_binary64_735`
4×	`add-log-exp_binary64_799` `cbrt-undiv_binary64_794`
3×	`flip3-+_binary64_763` `flip-+_binary64_734`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l/_binary64_707` `1-exp_binary64_804` `rec-exp_binary64_810`
1×	`inv-pow_binary64_845` `pow-flip_binary64_834`

Counts

4 → 193

Calls

4 calls:

14.0ms	(/.f64 1 (/.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (.f64 c b) (.f64 d a))))
10.0ms	(/.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (.f64 c b) (.f64 d a)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 8731 to 1419 computations (83.7% saved)

series1.1s (10.9%)

Error

4.8b

Counts

4 → 99

Calls

4 calls:

412.0ms	(/.f64 1 (/.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (.f64 c b) (.f64 d a))))
326.0ms	(/.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (.f64 c b) (.f64 d a)))
134.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
121.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 7323 to 4721 computations (35.5% saved)

simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

292 → 292

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5171	9393

prune297.0ms (3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	290	2	292
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	291	11	302

Error

4.8b

Counts

302 → 11

Compiler

Compiled 10721 to 1803 computations (83.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.9b	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (.f64 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (cbrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
29.5b	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.5b	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.5b	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite109.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

4.8b

Rules

18×	`cbrt-div_binary64_792`
9×	`add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `flip3-+_binary64_763` `flip-+_binary64_734` `cbrt-prod_binary64_791` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
8×	`associate-/r/_binary64_706`
7×	`add-cbrt-cube_binary64_796`
4×	`pow1_binary64_821` `add-log-exp_binary64_799` `frac-times_binary64_770`
3×	`pow1/3_binary64_842` `times-frac_binary64_766` `associate-/l*_binary64_705`
2×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707` `associate-l/_binary64_703` `associate-r/_binary64_702`
1×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `flip3--_binary64_764` `flip--_binary64_735` `associate-/r*_binary64_704`

Counts

4 → 71

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (.f64 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (cbrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
6.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 3459 to 354 computations (89.8% saved)

series1.5s (14.9%)

Error

4.8b

Counts

4 → 60

Calls

4 calls:

930.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (.f64 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (cbrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
169.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
166.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
158.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 5718 to 3458 computations (39.5% saved)

simplify92.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4959	2957
1	4959	2957

prune192.0ms (1.9%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	130	12	142

Error

4.8b

Counts

142 → 12

Compiler

Compiled 4862 to 906 computations (81.4% saved)

regimes1.3s (12.8%)

Accuracy

Total 9.6b remaining (64.5%)

Threshold costs 0b (0%)

Compiler

Compiled 8894 to 4953 computations (44.3% saved)

bsearch97.0ms (1%)

Steps

Iters	Range		Point
8	2.7939514582115514e+145	1.0051221626125225e+149	3.6607070884127416e+145
10	1.0970004053100951e-111	1.2009873087078437e-101	9.170406126705686e-109
10	-2.764719735381122e-83	-1.2187704435217416e-94	-2.2844571867045313e-93
8	-3.815339962647348e+103	-1.449334875666959e+99	-3.2283116114628037e+100

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	80	138
1	80	138

end0.0ms (0%)

sample1.8s (17.4%)

Algorithm

1×

intervals

Results

326.0ms	8000×	body	128	valid
22.0ms	495×	body	128	invalid

Compiler

Compiled 1881 to 1034 computations (45% saved)

Details

analyze906.0ms (9%)

sample25.0ms (0.3%)

simplify129.0ms (1.3%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite83.0ms (0.8%)

series594.0ms (5.9%)

simplify79.0ms (0.8%)

prune92.0ms (0.9%)

localize13.0ms (0.1%)

rewrite105.0ms (1%)

series922.0ms (9.2%)

simplify82.0ms (0.8%)

prune164.0ms (1.6%)

localize15.0ms (0.2%)

rewrite279.0ms (2.8%)

series1.1s (10.9%)

simplify129.0ms (1.3%)

prune297.0ms (3%)

localize15.0ms (0.1%)

rewrite109.0ms (1.1%)

series1.5s (14.9%)

simplify92.0ms (0.9%)

prune192.0ms (1.9%)

regimes1.3s (12.8%)

bsearch97.0ms (1%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.8s (17.4%)

Profiling