Details

analyze824.0ms (8.2%)

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)

sample45.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	42×	body	2048	valid
8.0ms	155×	body	128	valid
5.0ms	27×	body	1024	valid
4.0ms	12×	body	4096	valid
2.0ms	15×	body	512	valid
1.0ms	19×	body	128	nan
0.0ms	5×	body	256	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify342.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (336.0ms)

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

35.2b

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)
0.5b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
1.0b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
24.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite140.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

35.1b

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` `diff-log_binary64_2216` `sub-neg_binary64_2117` `cancel-sign-sub-inv_binary64_2090` `sum-log_binary64_2215` `+-commutative_binary64_2054` `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)
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))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2053 to 1050 computations (48.9% saved)

series692.0ms (6.9%)

Error

5.6b

Counts

4 → 70

Calls

4 calls:

204.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
152.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
146.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
127.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3077 to 2341 computations (23.9% saved)

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5243	2757

prune153.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	132	10	142
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	11	143

Error

5.5b

Counts

143 → 11

Compiler

Compiled 2981 to 1568 computations (47.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.8b	(-.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)
9.6b	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
24.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite269.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

5.5b

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)
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 5265 to 2649 computations (49.7% saved)

series985.0ms (9.8%)

Error

5.5b

Counts

4 → 67

Calls

4 calls:

342.0ms	(/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
316.0ms	(/.f64 (/.f64 (.f64 4 (.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) a)
139.0ms	(-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
129.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4140 to 2969 computations (28.3% saved)

simplify100.0ms (1%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4945	5921
1	4945	5921

prune257.0ms (2.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	205	9	214

Error

5.5b

Counts

214 → 9

Compiler

Compiled 5825 to 3024 computations (48.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (/.f64 1 a))
0.5b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
1.0b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
24.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite135.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

5.5b

Rules

21×	`add-sqr-sqrt_binary64_2146`
18×	`*-un-lft-identity_binary64_2124`
13×	`add-exp-log_binary64_2162` `add-cube-cbrt_binary64_2159` `associate-r_binary64_2064`
11×	`times-frac_binary64_2130`
9×	`add-cbrt-cube_binary64_2160`
8×	`add-log-exp_binary64_2163`
7×	`pow1_binary64_2185`
4×	`prod-exp_binary64_2173` `associate-l_binary64_2065`
3×	`sqrt-prod_binary64_2140` `flip3-+_binary64_2127` `flip-+_binary64_2098` `unswap-sqr_binary64_2092`
2×	`flip3--_binary64_2128` `sqrt-div_binary64_2141` `flip--_binary64_2099` `distribute-lft-out_binary64_2075` `div-exp_binary64_2175` `cbrt-unprod_binary64_2157` `frac-times_binary64_2134` `associate-*l/_binary64_2067`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `diff-log_binary64_2216` `sub-neg_binary64_2117` `cancel-sign-sub-inv_binary64_2090` `sum-log_binary64_2215` `+-commutative_binary64_2054` `pow-prod-down_binary64_2195` `1-exp_binary64_2168` `rec-exp_binary64_2174` `cbrt-undiv_binary64_2158` `un-div-inv_binary64_2122` `associate-r/_binary64_2066` `div-inv_binary64_2121` `-commutative_binary64_2055`

Counts

4 → 80

Calls

4 calls:

14.0ms	(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (/.f64 1 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 2417 to 1345 computations (44.4% saved)

series674.0ms (6.7%)

Error

5.5b

Counts

4 → 70

Calls

4 calls:

190.0ms	(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (/.f64 1 a))
159.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
146.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
122.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3339 to 2612 computations (21.8% saved)

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4954	2797
1	4954	2797

prune153.0ms (1.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	150	9	159

Error

5.5b

Counts

159 → 9

Compiler

Compiled 3232 to 1822 computations (43.6% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
24.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite145.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

5.5b

Rules

10×	`add-sqr-sqrt_binary64_2146`
9×	`sqrt-prod_binary64_2140`
7×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
6×	`add-log-exp_binary64_2163` `sqrt-div_binary64_2141`
4×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3--_binary64_2128` `flip--_binary64_2099`
3×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137`
1×	`diff-log_binary64_2216` `sub-neg_binary64_2117` `cancel-sign-sub-inv_binary64_2090`

Counts

4 → 57

Calls

4 calls:

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

Compiler

Compiled 3198 to 1648 computations (48.5% saved)

series731.0ms (7.3%)

Error

5.5b

Counts

4 → 69

Calls

4 calls:

171.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
151.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
150.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
150.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 8123 to 5030 computations (38.1% saved)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4950	1947
1	4950	1947

prune245.0ms (2.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	126	9	135

Error

5.5b

Counts

135 → 9

Compiler

Compiled 5977 to 3060 computations (48.8% saved)

regimes1.0s (10.5%)

Accuracy

Total 4.7b remaining (46.3%)

Threshold costs 0b (0%)

Compiler

Compiled 6996 to 5070 computations (27.5% saved)

bsearch100.0ms (1%)

Steps

Iters	Range		Point
7	5.5040266036660205e+73	9.068619892240998e+75	4.74489523208748e+75
5	-8.494722453609595e-50	-3.326262108462608e-50	-3.3740638410628572e-50
10	-3.2971747286480474e+104	-1.769601491730643e+93	-8.283334678121039e+98

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	104	101
1	104	101

end0.0ms (0%)

sample2.7s (26.8%)

Algorithm

1×

intervals

Results

286.0ms	1139×	body	2048	valid
270.0ms	5162×	body	128	valid
141.0ms	719×	body	1024	valid
126.0ms	410×	body	4096	valid
65.0ms	405×	body	512	valid
36.0ms	690×	body	128	nan
19.0ms	165×	body	256	valid
19.0ms	372×	body	128	invalid

Compiler

Compiled 1867 to 1345 computations (28% saved)

Details

analyze824.0ms (8.2%)

sample45.0ms (0.4%)

simplify342.0ms (3.4%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite140.0ms (1.4%)

series692.0ms (6.9%)

simplify67.0ms (0.7%)

prune153.0ms (1.5%)

localize12.0ms (0.1%)

rewrite269.0ms (2.7%)

series985.0ms (9.8%)

simplify100.0ms (1%)

prune257.0ms (2.6%)

localize13.0ms (0.1%)

rewrite135.0ms (1.4%)

series674.0ms (6.7%)

simplify82.0ms (0.8%)

prune153.0ms (1.5%)

localize17.0ms (0.2%)

rewrite145.0ms (1.5%)

series731.0ms (7.3%)

simplify71.0ms (0.7%)

prune245.0ms (2.5%)

regimes1.0s (10.5%)

bsearch100.0ms (1%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.7s (26.8%)

Profiling