Details

analyze864.0ms (5.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4810	96
1	4810	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)

sample44.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	41×	body	2048	valid
8.0ms	159×	body	128	valid
5.0ms	27×	body	1024	valid
4.0ms	11×	body	4096	valid
2.0ms	15×	body	512	valid
1.0ms	21×	body	128	nan
1.0ms	17×	body	128	invalid
0.0ms	3×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify318.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (312.0ms)

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

35.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize12.0ms (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)
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite199.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

35.2b

Rules

24×	`*-un-lft-identity_binary64_3488`
15×	`add-sqr-sqrt_binary64_3510`
14×	`add-cube-cbrt_binary64_3523`
12×	`times-frac_binary64_3494`
8×	`add-log-exp_binary64_3527`
6×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
5×	`pow1_binary64_3549` `distribute-lft-out_binary64_3439`
4×	`associate-/l*_binary64_3433`
3×	`sqrt-prod_binary64_3504` `associate-/r*_binary64_3432`
2×	`flip3--_binary64_3492` `sqrt-div_binary64_3505` `flip--_binary64_3463` `flip3-+_binary64_3491` `flip-+_binary64_3462` `associate-/l/_binary64_3435`
1×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501` `sum-log_binary64_3579` `+-commutative_binary64_3418` `diff-log_binary64_3580` `sub-neg_binary64_3481` `cancel-sign-sub-inv_binary64_3454` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485`

Counts

4 → 72

Calls

4 calls:

8.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
7.0ms	(-.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	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 1903 to 971 computations (49% saved)

series1.0s (6.2%)

Error

4.1b

Counts

4 → 74

Calls

4 calls:

324.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
239.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
217.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
187.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2787 to 2229 computations (20% saved)

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4964	3073
1	4964	3073

prune182.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	135	11	146
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	135	12	147

Error

4.0b

Counts

147 → 12

Compiler

Compiled 2431 to 1362 computations (44% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.7b	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
3.3b	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
8.1b	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite316.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

66×	`times-frac_binary64_3494`
59×	`add-sqr-sqrt_binary64_3510`
44×	`*-un-lft-identity_binary64_3488`
30×	`add-cube-cbrt_binary64_3523`
27×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
14×	`difference-of-squares_binary64_3457`
13×	`sqrt-prod_binary64_3504` `associate-/l*_binary64_3433`
10×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `associate-/r/_binary64_3434`
9×	`associate-/r*_binary64_3432`
7×	`flip3--_binary64_3492` `flip--_binary64_3463` `distribute-lft-out--_binary64_3440`
6×	`add-log-exp_binary64_3527` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `div-inv_binary64_3485` `cancel-sign-sub-inv_binary64_3454`
5×	`pow1_binary64_3549`
2×	`sqrt-div_binary64_3505` `frac-2neg_binary64_3499` `clear-num_binary64_3487`
1×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501` `associate-/l/_binary64_3435` `diff-log_binary64_3580` `sub-neg_binary64_3481`

Counts

4 → 136

Calls

4 calls:

14.0ms	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
12.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
7.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4703 to 2367 computations (49.7% saved)

series1.6s (9.4%)

Error

4.0b

Counts

4 → 77

Calls

4 calls:

541.0ms	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
493.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
234.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
230.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4185 to 3119 computations (25.5% saved)

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4944	6563
1	4944	6563

prune290.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	209	4	213
Fresh	7	3	10
Picked	0	1	1
Done	0	1	1
Total	216	9	225

Error

4.0b

Counts

225 → 9

Compiler

Compiled 4614 to 2428 computations (47.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.7b	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite197.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

39×	`add-sqr-sqrt_binary64_3510`
28×	`*-un-lft-identity_binary64_3488`
18×	`add-cube-cbrt_binary64_3523` `times-frac_binary64_3494`
11×	`sqrt-prod_binary64_3504`
10×	`difference-of-squares_binary64_3457`
8×	`add-log-exp_binary64_3527`
7×	`cancel-sign-sub-inv_binary64_3454`
6×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `associate-/r*_binary64_3432`
5×	`pow1_binary64_3549` `distribute-lft-out--_binary64_3440`
4×	`flip3--_binary64_3492` `flip--_binary64_3463`
3×	`associate-/l*_binary64_3433`
2×	`sqrt-div_binary64_3505` `diff-log_binary64_3580` `sub-neg_binary64_3481` `associate-/r/_binary64_3434`
1×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485`

Counts

4 → 88

Calls

4 calls:

8.0ms	(/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
7.0ms	(-.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 2534 to 1439 computations (43.2% saved)

series1.2s (7.2%)

Error

4.0b

Counts

4 → 77

Calls

4 calls:

464.0ms	(/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
233.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
229.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
216.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3612 to 2967 computations (17.9% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5152	3780

prune200.0ms (1.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	165	9	174

Error

4.0b

Counts

174 → 9

Compiler

Compiled 2864 to 1725 computations (39.8% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

14.6b	(-.f64 b (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite198.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

10×	`add-sqr-sqrt_binary64_3510`
9×	`sqrt-prod_binary64_3504`
7×	`pow1_binary64_3549` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
6×	`add-log-exp_binary64_3527` `sqrt-div_binary64_3505`
4×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `flip3--_binary64_3492` `flip--_binary64_3463`
3×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501`
1×	`diff-log_binary64_3580` `sub-neg_binary64_3481` `cancel-sign-sub-inv_binary64_3454`

Counts

4 → 57

Calls

4 calls:

5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
3.0ms	(-.f64 b (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))

Compiler

Compiled 3304 to 1816 computations (45% saved)

series1.1s (6.8%)

Error

4.0b

Counts

4 → 78

Calls

4 calls:

279.0ms	(-.f64 b (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
254.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
247.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
246.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 6913 to 4875 computations (29.5% saved)

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4969	2539
1	4969	2539

prune240.0ms (1.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	135	9	144

Error

4.0b

Counts

144 → 9

Compiler

Compiled 3987 to 2283 computations (42.7% saved)

regimes6.7s (39.7%)

Accuracy

Total 1.3b remaining (19.9%)

Threshold costs 0b (0%)

Compiler

Compiled 41114 to 30812 computations (25.1% saved)

bsearch149.0ms (0.9%)

Steps

Iters	Range	Point
6	3.2329081004901607e+62	3.544750113506261e+63	3.4546240696680445e+63
9	2.4934069589522603e-284	2.417074210727026e-278	1.6674544466416018e-283
8	-3.6237794107983125e+102	-3.3714694218032497e+99	-5.601648774806547e+101

Iters

Range

Point

3.2329081004901607e+62

3.544750113506261e+63

3.4546240696680445e+63

2.4934069589522603e-284

2.417074210727026e-278

1.6674544466416018e-283

-3.6237794107983125e+102

-3.3714694218032497e+99

-5.601648774806547e+101

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	117	117
1	117	117

end4.0ms (0%)

Compiler: Compiled 78 to 51 computations (34.6% saved)

sample1.6s (9.3%)

Algorithm

1×

intervals

Results

285.0ms	1150×	body	2048	valid
277.0ms	5183×	body	128	valid
150.0ms	726×	body	1024	valid
131.0ms	411×	body	4096	valid
51.0ms	352×	body	512	valid
30.0ms	630×	body	128	nan
20.0ms	358×	body	128	invalid
17.0ms	178×	body	256	valid

Compiler

Compiled 306 to 239 computations (21.9% saved)

Details

analyze864.0ms (5.2%)

sample44.0ms (0.3%)

simplify318.0ms (1.9%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite199.0ms (1.2%)

series1.0s (6.2%)

simplify71.0ms (0.4%)

prune182.0ms (1.1%)

localize14.0ms (0.1%)

rewrite316.0ms (1.9%)

series1.6s (9.4%)

simplify122.0ms (0.7%)

prune290.0ms (1.7%)

localize17.0ms (0.1%)

rewrite197.0ms (1.2%)

series1.2s (7.2%)

simplify60.0ms (0.4%)

prune200.0ms (1.2%)

localize23.0ms (0.1%)

rewrite198.0ms (1.2%)

series1.1s (6.8%)

simplify83.0ms (0.5%)

prune240.0ms (1.4%)

regimes6.7s (39.7%)

bsearch149.0ms (0.9%)

simplify5.0ms (0%)

end4.0ms (0%)

sample1.6s (9.3%)

Profiling