Details

analyze686.0ms (5.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample42.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	41×	body	2048	valid
9.0ms	167×	body	128	valid
3.0ms	17×	body	1024	valid
3.0ms	9×	body	4096	valid
2.0ms	12×	body	512	valid
1.0ms	25×	body	128	nan
1.0ms	10×	body	256	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify290.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (285.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	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

32.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
22.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite172.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

32.1b

Rules

21×	`add-sqr-sqrt_binary64_2828`
14×	`*-un-lft-identity_binary64_2806`
9×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
8×	`add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841`
6×	`sqrt-prod_binary64_2822` `difference-of-squares_binary64_2775` `times-frac_binary64_2812` `associate-/l*_binary64_2751`
5×	`pow1_binary64_2867`
4×	`flip3--_binary64_2810` `flip--_binary64_2781` `cancel-sign-sub-inv_binary64_2772`
3×	`distribute-lft-out--_binary64_2758`
2×	`sqrt-div_binary64_2823` `diff-log_binary64_2898` `sub-neg_binary64_2799` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `associate-/l/_binary64_2753`
1×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `frac-2neg_binary64_2817` `div-sub_binary64_2811` `clear-num_binary64_2805` `div-inv_binary64_2803` `associate-/r*_binary64_2750`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series759.0ms (6%)

Error

6.1b

Counts

4 → 69

Calls

4 calls:

225.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
163.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
160.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
144.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 3114 to 2381 computations (23.5% saved)

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4955	2854
1	4955	2854

prune160.0ms (1.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	130	13	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	13	144

Error

6.0b

Counts

144 → 13

Compiler

Compiled 3071 to 1676 computations (45.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 3 (.f64 a c))
0.6b	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
1.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
22.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite96.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

6.0b

Rules

12×	`add-sqr-sqrt_binary64_2828`
10×	`pow1_binary64_2867`
9×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `*-un-lft-identity_binary64_2806`
8×	`add-log-exp_binary64_2845`
7×	`add-cube-cbrt_binary64_2841`
4×	`sqrt-prod_binary64_2822` `cancel-sign-sub-inv_binary64_2772`
3×	`flip3--_binary64_2810` `flip--_binary64_2781` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-l_binary64_2747`
2×	`sqrt-div_binary64_2823` `diff-log_binary64_2898` `sub-neg_binary64_2799` `difference-of-squares_binary64_2775`
1×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819` `distribute-lft-out--_binary64_2758` `associate-r_binary64_2746` `*-commutative_binary64_2737`

Counts

4 → 62

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
5.0ms	(.f64 3 (.f64 a c))
5.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 1583 to 833 computations (47.4% saved)

series565.0ms (4.5%)

Error

6.0b

Counts

4 → 58

Calls

4 calls:

170.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
156.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
136.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
58.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 2619 to 1980 computations (24.4% saved)

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4910	1802
1	4910	1802

prune120.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	121	12	133

Error

6.0b

Counts

133 → 12

Compiler

Compiled 2438 to 1339 computations (45.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
3.5b	(/.f64 (/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) 3) a)
9.9b	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
22.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite546.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

6.0b

Rules

274×	`times-frac_binary64_2812`
140×	`*-un-lft-identity_binary64_2806`
111×	`add-sqr-sqrt_binary64_2828`
110×	`add-cube-cbrt_binary64_2841`
35×	`associate-/l*_binary64_2751`
33×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
26×	`associate-/r/_binary64_2752`
18×	`div-inv_binary64_2803`
15×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `distribute-lft-out_binary64_2757`
14×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
7×	`associate-/r*_binary64_2750`
6×	`add-log-exp_binary64_2845` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
5×	`pow1_binary64_2867`
3×	`sqrt-prod_binary64_2822`
2×	`sqrt-div_binary64_2823` `frac-2neg_binary64_2817` `clear-num_binary64_2805`
1×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `flip3--_binary64_2810` `flip--_binary64_2781` `rem-sqrt-square_binary64_2819` `associate-/l/_binary64_2753` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 214

Calls

4 calls:

21.0ms	(/.f64 (/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) 3) a)
14.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 9294 to 5213 computations (43.9% saved)

series928.0ms (7.3%)

Error

6.0b

Counts

4 → 71

Calls

4 calls:

270.0ms	(/.f64 (/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) 3) a)
265.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
182.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
141.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 4307 to 3127 computations (27.4% saved)

simplify135.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4953	11397
1	4953	11397

prune479.0ms (3.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	281	4	285
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	287	10	297

Error

6.0b

Counts

297 → 10

Compiler

Compiled 9714 to 5420 computations (44.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
3.0b	(.f64 a (/.f64 (.f64 c -3) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))))
3.5b	(.f64 (.f64 a (/.f64 (.f64 c -3) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))))) (/.f64 1/3 a))
22.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite195.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

6.0b

Rules

45×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
23×	`associate-r_binary64_2746`
20×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
19×	`*-un-lft-identity_binary64_2806`
18×	`add-sqr-sqrt_binary64_2828`
15×	`add-cube-cbrt_binary64_2841`
13×	`times-frac_binary64_2812`
12×	`pow1_binary64_2867`
10×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
6×	`add-log-exp_binary64_2845`
4×	`pow-prod-down_binary64_2877` `associate-r/_binary64_2748` `associate-l*_binary64_2747`
3×	`sqrt-prod_binary64_2822`
2×	`sqrt-div_binary64_2823` `div-inv_binary64_2803` `*-commutative_binary64_2737` `distribute-lft-out_binary64_2757` `flip3-+_binary64_2809` `associate-/r/_binary64_2752` `flip-+_binary64_2780`
1×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `flip3--_binary64_2810` `flip--_binary64_2781` `rem-sqrt-square_binary64_2819` `frac-times_binary64_2816` `associate-*l/_binary64_2749` `unswap-sqr_binary64_2774` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 100

Calls

4 calls:

18.0ms	(.f64 (.f64 a (/.f64 (.f64 c -3) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))))) (/.f64 1/3 a))
14.0ms	(.f64 a (/.f64 (.f64 c -3) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 3624 to 1998 computations (44.9% saved)

series931.0ms (7.3%)

Error

6.0b

Counts

4 → 71

Calls

4 calls:

274.0ms	(.f64 a (/.f64 (.f64 c -3) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))))
268.0ms	(.f64 (.f64 a (/.f64 (.f64 c -3) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))))) (/.f64 1/3 a))
174.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
146.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 4307 to 3127 computations (27.4% saved)

simplify113.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4918	3990
1	4918	3990

prune183.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	171	10	181

Error

6.0b

Counts

181 → 10

Compiler

Compiled 4113 to 2212 computations (46.2% saved)

regimes2.4s (18.6%)

Accuracy

Total 1.0b remaining (15.7%)

Threshold costs 0b (0%)

Compiler

Compiled 16002 to 12027 computations (24.8% saved)

bsearch85.0ms (0.7%)

Steps

Iters	Range	Point
1	2.597995383546239e+91	2.7476677298933524e+91	2.710249643306574e+91
11	-4.450237862758758e-275	-1.456054562677208e-297	-1.0659637489022944e-294
8	-8.410697094633912e+127	-2.583927971795296e+125	-3.6719904792053715e+126

Iters

Range

Point

2.597995383546239e+91

2.7476677298933524e+91

2.710249643306574e+91

-4.450237862758758e-275

-1.456054562677208e-297

-1.0659637489022944e-294

-8.410697094633912e+127

-2.583927971795296e+125

-3.6719904792053715e+126

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	98	88
1	98	88

end0.0ms (0%)

sample3.6s (28.4%)

Algorithm

1×

intervals

Results

296.0ms	1149×	body	2048	valid
274.0ms	5197×	body	128	valid
143.0ms	708×	body	1024	valid
129.0ms	405×	body	4096	valid
54.0ms	347×	body	512	valid
31.0ms	647×	body	128	nan
22.0ms	194×	body	256	valid
20.0ms	396×	body	128	invalid

Compiler

Compiled 3031 to 2278 computations (24.8% saved)

Details

analyze686.0ms (5.4%)

sample42.0ms (0.3%)

simplify290.0ms (2.3%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite172.0ms (1.4%)

series759.0ms (6%)

simplify92.0ms (0.7%)

prune160.0ms (1.3%)

localize11.0ms (0.1%)

rewrite96.0ms (0.8%)

series565.0ms (4.5%)

simplify94.0ms (0.7%)

prune120.0ms (0.9%)

localize15.0ms (0.1%)

rewrite546.0ms (4.3%)

series928.0ms (7.3%)

simplify135.0ms (1.1%)

prune479.0ms (3.8%)

localize15.0ms (0.1%)

rewrite195.0ms (1.5%)

series931.0ms (7.3%)

simplify113.0ms (0.9%)

prune183.0ms (1.4%)

regimes2.4s (18.6%)

bsearch85.0ms (0.7%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.6s (28.4%)

Profiling