Details

analyze808.0ms (8%)

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 (0.4%)

Algorithm

1×

intervals

Results

11.0ms	171×	body	128	valid
9.0ms	39×	body	2048	valid
5.0ms	17×	body	4096	valid
3.0ms	16×	body	1024	valid
1.0ms	21×	body	128	nan
1.0ms	6×	body	512	valid
1.0ms	15×	body	128	invalid
1.0ms	7×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify326.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (321.0ms)

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

32.8b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (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)))
0.9b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
23.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite140.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

32.6b

Rules

24×	`*-un-lft-identity_binary64_2124`
15×	`add-sqr-sqrt_binary64_2146`
14×	`add-cube-cbrt_binary64_2159`
12×	`times-frac_binary64_2130`
8×	`add-log-exp_binary64_2163`
6×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
5×	`pow1_binary64_2185` `distribute-lft-out_binary64_2075`
4×	`associate-/l*_binary64_2069`
3×	`sqrt-prod_binary64_2140` `associate-/r*_binary64_2068`
2×	`flip3--_binary64_2128` `sqrt-div_binary64_2141` `flip--_binary64_2099` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-/l/_binary64_2071`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `sum-log_binary64_2215` `+-commutative_binary64_2054` `diff-log_binary64_2216` `sub-neg_binary64_2117` `cancel-sign-sub-inv_binary64_2090` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`

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

Compiler

Compiled 2053 to 1050 computations (48.9% saved)

series758.0ms (7.5%)

Error

6.0b

Counts

4 → 76

Calls

4 calls:

201.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
164.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
161.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
158.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 3466 to 2621 computations (24.4% saved)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5033	3065

prune161.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	140	8	148
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	9	149

Error

5.9b

Counts

149 → 9

Compiler

Compiled 3147 to 1668 computations (47% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
2.9b	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
9.3b	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
23.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite261.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

66×	`times-frac_binary64_2130`
59×	`add-sqr-sqrt_binary64_2146`
44×	`*-un-lft-identity_binary64_2124`
30×	`add-cube-cbrt_binary64_2159`
27×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
14×	`difference-of-squares_binary64_2093`
13×	`sqrt-prod_binary64_2140` `associate-/l*_binary64_2069`
10×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/r/_binary64_2070`
9×	`associate-/r*_binary64_2068`
7×	`flip3--_binary64_2128` `flip--_binary64_2099` `distribute-lft-out--_binary64_2076`
6×	`add-log-exp_binary64_2163` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `div-inv_binary64_2121` `cancel-sign-sub-inv_binary64_2090`
5×	`pow1_binary64_2185`
2×	`sqrt-div_binary64_2141` `frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `associate-/l/_binary64_2071` `diff-log_binary64_2216` `sub-neg_binary64_2117`

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)
11.0ms	(/.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 5265 to 2649 computations (49.7% saved)

series1.1s (10.7%)

Error

5.9b

Counts

4 → 75

Calls

4 calls:

357.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
325.0ms	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
162.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
162.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))

Compiler

Compiled 4740 to 3388 computations (28.5% saved)

simplify125.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4945	6413
1	4945	6413

prune284.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	212	8	220

Error

5.9b

Counts

220 → 8

Compiler

Compiled 6124 to 3213 computations (47.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 4 (.f64 1 (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) c)))
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.8b	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
23.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite141.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

18×	`add-exp-log_binary64_2162`
14×	`add-sqr-sqrt_binary64_2146`
13×	`add-cbrt-cube_binary64_2160`
11×	`*-un-lft-identity_binary64_2124`
9×	`add-cube-cbrt_binary64_2159`
8×	`add-log-exp_binary64_2163`
7×	`sqrt-prod_binary64_2140` `cancel-sign-sub-inv_binary64_2090` `div-exp_binary64_2175`
5×	`pow1_binary64_2185`
4×	`prod-exp_binary64_2173` `cbrt-undiv_binary64_2158`
3×	`flip3--_binary64_2128` `flip--_binary64_2099` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
2×	`sqrt-div_binary64_2141` `diff-log_binary64_2216` `sub-neg_binary64_2117` `difference-of-squares_binary64_2093` `1-exp_binary64_2168` `cbrt-unprod_binary64_2157`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `distribute-lft-out--_binary64_2076` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-r/_binary64_2066` `associate-/r/_binary64_2070` `associate-/r_binary64_2068`

Counts

4 → 73

Calls

4 calls:

14.0ms	(/.f64 4 (.f64 1 (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) c)))
7.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
5.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2450 to 1516 computations (38.1% saved)

series900.0ms (8.9%)

Error

5.9b

Counts

4 → 74

Calls

4 calls:

325.0ms	(/.f64 4 (.f64 1 (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) c)))
167.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
166.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
160.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4496 to 3610 computations (19.7% saved)

simplify90.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4937	2972
1	4937	2972

prune179.0ms (1.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	146	9	155

Error

5.9b

Counts

155 → 9

Compiler

Compiled 3650 to 2334 computations (36.1% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 -1/2 (.f64 2 (/.f64 c b)))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

10×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`pow1_binary64_2185`
5×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`pow-prod-down_binary64_2195` `associate-l_binary64_2065`
2×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `-un-lft-identity_binary64_2124` `associate-r/_binary64_2066`
1×	`div-exp_binary64_2175` `add-log-exp_binary64_2163` `cbrt-undiv_binary64_2158` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

1 → 21

Calls

1 calls:

7.0ms

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

Compiler

Compiled 281 to 194 computations (31% saved)

series60.0ms (0.6%)

Error

5.9b

Counts

1 → 6

Calls

1 calls:

56.0ms

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

Compiler

Compiled 90 to 88 computations (2.2% saved)

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4936	200
1	4936	200

prune15.0ms (0.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	26	10	36

Error

5.9b

Counts

36 → 10

Compiler

Compiled 187 to 71 computations (62% saved)

regimes1.3s (13%)

Accuracy

Total 1.1b remaining (16.8%)

Threshold costs 0b (0%)

Compiler

Compiled 7828 to 5810 computations (25.8% saved)

bsearch122.0ms (1.2%)

Steps

Iters	Range	Point
8	2.620802859355677e+115	6.295868307123495e+118	3.346781742900937e+117
9	-4.419904171647445e-295	-1.8698274748105066e-304	-1.9251932428213444e-304
10	-4.350381150979249e+131	-5.889766974776502e+116	-2.986384134100874e+125

Iters

Range

Point

2.620802859355677e+115

6.295868307123495e+118

3.346781742900937e+117

-4.419904171647445e-295

-1.8698274748105066e-304

-1.9251932428213444e-304

-4.350381150979249e+131

-5.889766974776502e+116

-2.986384134100874e+125

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	122	87
1	122	87

end0.0ms (0%)

sample3.1s (30.5%)

Algorithm

1×

intervals

Results

277.0ms	1145×	body	2048	valid
274.0ms	5191×	body	128	valid
135.0ms	700×	body	1024	valid
113.0ms	386×	body	4096	valid
54.0ms	382×	body	512	valid
35.0ms	697×	body	128	nan
22.0ms	386×	body	128	invalid
22.0ms	196×	body	256	valid

Compiler

Compiled 2065 to 1525 computations (26.2% saved)

Details

analyze808.0ms (8%)

sample44.0ms (0.4%)

simplify326.0ms (3.2%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite140.0ms (1.4%)

series758.0ms (7.5%)

simplify71.0ms (0.7%)

prune161.0ms (1.6%)

localize14.0ms (0.1%)

rewrite261.0ms (2.6%)

series1.1s (10.7%)

simplify125.0ms (1.2%)

prune284.0ms (2.8%)

localize14.0ms (0.1%)

rewrite141.0ms (1.4%)

series900.0ms (8.9%)

simplify90.0ms (0.9%)

prune179.0ms (1.8%)

localize5.0ms (0%)

rewrite27.0ms (0.3%)

series60.0ms (0.6%)

simplify68.0ms (0.7%)

prune15.0ms (0.1%)

regimes1.3s (13%)

bsearch122.0ms (1.2%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.1s (30.5%)

Profiling