Details

analyze703.0ms (5.8%)

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)

sample44.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	40×	body	2048	valid
8.0ms	160×	body	128	valid
5.0ms	24×	body	1024	valid
4.0ms	13×	body	4096	valid
2.0ms	12×	body	512	valid
1.0ms	22×	body	128	nan
1.0ms	18×	body	128	invalid
1.0ms	7×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify285.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (279.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune6.0ms (0.1%)

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

35.2b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (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))
0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
22.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite156.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

34.9b

Rules

21×	`add-sqr-sqrt_binary64_1123`
14×	`*-un-lft-identity_binary64_1101`
9×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
8×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136`
6×	`sqrt-prod_binary64_1117` `difference-of-squares_binary64_1070` `times-frac_binary64_1107` `associate-/l*_binary64_1046`
5×	`pow1_binary64_1162`
4×	`flip3--_binary64_1105` `flip--_binary64_1076` `cancel-sign-sub-inv_binary64_1067`
3×	`distribute-lft-out--_binary64_1053`
2×	`sqrt-div_binary64_1118` `diff-log_binary64_1193` `sub-neg_binary64_1094` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/l/_binary64_1048`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/r*_binary64_1045`

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)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series768.0ms (6.3%)

Error

5.5b

Counts

4 → 72

Calls

4 calls:

219.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
166.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
158.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
154.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

Compiler

Compiled 3332 to 2538 computations (23.8% saved)

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5288	3051

prune169.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	134	12	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	12	147

Error

5.4b

Counts

147 → 12

Compiler

Compiled 3191 to 1765 computations (44.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 a c))
0.8b	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
22.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite100.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

12×	`add-sqr-sqrt_binary64_1123`
10×	`pow1_binary64_1162`
9×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `*-un-lft-identity_binary64_1101`
8×	`add-log-exp_binary64_1140`
7×	`add-cube-cbrt_binary64_1136`
4×	`sqrt-prod_binary64_1117` `cancel-sign-sub-inv_binary64_1067`
3×	`flip3--_binary64_1105` `flip--_binary64_1076` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-l_binary64_1042`
2×	`sqrt-div_binary64_1118` `diff-log_binary64_1193` `sub-neg_binary64_1094` `difference-of-squares_binary64_1070`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `distribute-lft-out--_binary64_1053` `associate-r_binary64_1041` `*-commutative_binary64_1032`

Counts

4 → 62

Calls

4 calls:

9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
6.0ms	(.f64 3 (.f64 a c))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
5.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))

Compiler

Compiled 1707 to 957 computations (43.9% saved)

series611.0ms (5%)

Error

5.4b

Counts

4 → 61

Calls

4 calls:

168.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
167.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
161.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
58.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 3129 to 2426 computations (22.5% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4920	1984
1	4920	1984

prune133.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	123	12	135

Error

5.4b

Counts

135 → 12

Compiler

Compiled 2826 to 1673 computations (40.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.3b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
4.3b	(/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) a)
10.4b	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
22.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite253.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

50×	`times-frac_binary64_1107`
40×	`*-un-lft-identity_binary64_1101`
27×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-sqr-sqrt_binary64_1123`
26×	`add-cube-cbrt_binary64_1136`
11×	`associate-/l*_binary64_1046`
10×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r/_binary64_1047`
7×	`distribute-lft-out_binary64_1052` `associate-/r*_binary64_1045`
6×	`add-log-exp_binary64_1140` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075`
5×	`pow1_binary64_1162`
3×	`sqrt-prod_binary64_1117`
2×	`sqrt-div_binary64_1118` `frac-2neg_binary64_1112` `clear-num_binary64_1100`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `flip3--_binary64_1105` `flip--_binary64_1076` `rem-sqrt-square_binary64_1114` `associate-/l/_binary64_1048` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

4 → 116

Calls

4 calls:

19.0ms	(/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) a)
13.0ms	(/.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 4706 to 2632 computations (44.1% saved)

series1.0s (8.3%)

Error

5.4b

Counts

4 → 73

Calls

4 calls:

320.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
287.0ms	(/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) a)
163.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
157.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 5038 to 3776 computations (25% saved)

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5369	5579

prune537.0ms (4.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	183	6	189
Fresh	3	7	10
Picked	1	0	1
Done	0	1	1
Total	187	14	201

Error

5.2b

Counts

201 → 14

Compiler

Compiled 5989 to 3525 computations (41.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 a c))
0.8b	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
22.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite94.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

5.2b

Rules

12×	`add-sqr-sqrt_binary64_1123`
10×	`pow1_binary64_1162`
9×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `*-un-lft-identity_binary64_1101`
8×	`add-log-exp_binary64_1140`
7×	`add-cube-cbrt_binary64_1136`
4×	`sqrt-prod_binary64_1117` `cancel-sign-sub-inv_binary64_1067`
3×	`flip3--_binary64_1105` `flip--_binary64_1076` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-l_binary64_1042`
2×	`sqrt-div_binary64_1118` `diff-log_binary64_1193` `sub-neg_binary64_1094` `difference-of-squares_binary64_1070`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `distribute-lft-out--_binary64_1053` `associate-r_binary64_1041` `*-commutative_binary64_1032`

Counts

4 → 62

Calls

4 calls:

10.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
5.0ms	(.f64 3 (.f64 a c))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
5.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))

Compiler

Compiled 1583 to 833 computations (47.4% saved)

series557.0ms (4.6%)

Error

5.2b

Counts

4 → 61

Calls

4 calls:

158.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
155.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
147.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
48.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 2823 to 2128 computations (24.6% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4920	1984
1	4920	1984

prune106.0ms (0.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	123	14	137

Error

5.2b

Counts

137 → 14

Compiler

Compiled 2380 to 1283 computations (46.1% saved)

regimes2.7s (22%)

Accuracy

Total 2.6b remaining (33.7%)

Threshold costs 0b (0%)

Compiler

Compiled 14456 to 11144 computations (22.9% saved)

bsearch115.0ms (0.9%)

Steps

Iters	Range		Point
7	95.62636532403697	4014.26002020368	3970.532612665264
10	-2.5056518156586156e-291	-6.206059484346032e-303	-8.289375697312939e-303
9	-3.4721276475462573e+115	-2.1860443976093696e+110	-8.957255745626847e+114

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	129	110
1	129	110

end0.0ms (0%)

sample3.5s (28.7%)

Algorithm

1×

intervals

Results

288.0ms	1158×	body	2048	valid
282.0ms	5228×	body	128	valid
137.0ms	679×	body	1024	valid
128.0ms	370×	body	4096	valid
53.0ms	363×	body	512	valid
38.0ms	661×	body	128	nan
23.0ms	202×	body	256	valid
22.0ms	373×	body	128	invalid

Compiler

Compiled 2780 to 2144 computations (22.9% saved)

Details

analyze703.0ms (5.8%)

sample44.0ms (0.4%)

simplify285.0ms (2.3%)

prune6.0ms (0.1%)

localize9.0ms (0.1%)

rewrite156.0ms (1.3%)

series768.0ms (6.3%)

simplify57.0ms (0.5%)

prune169.0ms (1.4%)

localize12.0ms (0.1%)

rewrite100.0ms (0.8%)

series611.0ms (5%)

simplify78.0ms (0.6%)

prune133.0ms (1.1%)

localize16.0ms (0.1%)

rewrite253.0ms (2.1%)

series1.0s (8.3%)

simplify101.0ms (0.8%)

prune537.0ms (4.4%)

localize11.0ms (0.1%)

rewrite94.0ms (0.8%)

series557.0ms (4.6%)

simplify77.0ms (0.6%)

prune106.0ms (0.9%)

regimes2.7s (22%)

bsearch115.0ms (0.9%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.5s (28.7%)

Profiling