Details

analyze450.0ms (6.3%)

Algorithm

1×

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)

sample40.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	37×	body	2048	valid
9.0ms	170×	body	128	valid
5.0ms	25×	body	1024	valid
3.0ms	11×	body	4096	valid
1.0ms	24×	body	128	nan
1.0ms	8×	body	512	valid
0.0ms	5×	body	256	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify457.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (289.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 33.0b

Counts

2 → 1

Compiler

Compiled 66 to 54 computations (18.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 3 a) c)
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64_2204` `add-log-exp_binary64_2182` `*-un-lft-identity_binary64_2143`
9×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
7×	`add-sqr-sqrt_binary64_2165`
6×	`add-cube-cbrt_binary64_2178`
3×	`associate-r_binary64_2083` `cbrt-unprod_binary64_2176` `sqrt-prod_binary64_2159` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192`
2×	`sqrt-div_binary64_2160` `flip--_binary64_2118` `sum-log_binary64_2234` `flip3--_binary64_2147` `distribute-lft-out_binary64_2094`
1×	`rem-sqrt-square_binary64_2156` `pow1/2_binary64_2223` `+-commutative_binary64_2073` `diff-log_binary64_2235` `sub-neg_binary64_2136` `distribute-rgt-neg-in_binary64_2101` `associate-+l-_binary64_2078` `neg-sub0_binary64_2138` `associate-l_binary64_2084` `flip3-+_binary64_2146` `cancel-sign-sub-inv_binary64_2109` `neg-log_binary64_2236` `sqrt-pow1_binary64_2161` `flip-+_binary64_2117` `*-commutative_binary64_2074`

Counts

4 → 60

Calls

4 calls:

10.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series345.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

131.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
120.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
64.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
28.0ms	(.f64 (.f64 3 a) c)

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5558	1187

prune338.0ms (4.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	63	9	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	10	73

Merged error: 12.6b

Counts

73 → 10

Compiler

Compiled 6563 to 4677 computations (28.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
4.7b	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
9.1b	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite67.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
34×	`add-sqr-sqrt_binary64_2165` `times-frac_binary64_2149`
33×	`*-un-lft-identity_binary64_2143`
17×	`cbrt-undiv_binary64_2177` `div-exp_binary64_2194`
14×	`associate-/l*_binary64_2088`
13×	`cbrt-unprod_binary64_2176` `prod-exp_binary64_2192` `add-cube-cbrt_binary64_2178`
11×	`sqrt-prod_binary64_2159`
10×	`distribute-lft-out--_binary64_2095` `difference-of-squares_binary64_2112`
8×	`add-log-exp_binary64_2182` `associate-/r*_binary64_2087`
6×	`associate-/r/_binary64_2089` `cancel-sign-sub-inv_binary64_2109`
5×	`pow1_binary64_2204` `flip--_binary64_2118` `distribute-rgt-neg-in_binary64_2101` `flip3--_binary64_2147`
4×	`div-inv_binary64_2140`
2×	`sqrt-div_binary64_2160` `diff-log_binary64_2235` `clear-num_binary64_2142` `frac-2neg_binary64_2154`
1×	`rem-sqrt-square_binary64_2156` `pow1/2_binary64_2223` `sub-neg_binary64_2136` `associate--l-_binary64_2081` `neg-sub0_binary64_2138` `neg-log_binary64_2236` `sqrt-pow1_binary64_2161` `associate-/l/_binary64_2090`

Counts

4 → 125

Calls

4 calls:

20.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
16.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
11.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series909.0ms (12.6%)

Counts

4 → 12

Calls

4 calls:

380.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
290.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
126.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
114.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

simplify86.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4938	3955
1	4938	3955

prune607.0ms (8.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	124	13	137
Fresh	5	3	8
Picked	1	0	1
Done	1	0	1
Total	131	16	147

Merged error: 7.4b

Counts

147 → 16

Compiler

Compiled 11971 to 8289 computations (30.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 3 a) c)
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_2165`
12×	`*-un-lft-identity_binary64_2143`
10×	`pow1_binary64_2204` `add-log-exp_binary64_2182`
9×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
8×	`add-cube-cbrt_binary64_2178`
7×	`sqrt-prod_binary64_2159` `cancel-sign-sub-inv_binary64_2109`
3×	`diff-log_binary64_2235` `flip--_binary64_2118` `associate-r_binary64_2083` `cbrt-unprod_binary64_2176` `flip3--_binary64_2147` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192`
2×	`sqrt-div_binary64_2160` `sub-neg_binary64_2136` `distribute-lft-out--_binary64_2095` `difference-of-squares_binary64_2112`
1×	`rem-sqrt-square_binary64_2156` `pow1/2_binary64_2223` `distribute-rgt-neg-in_binary64_2101` `associate--l-_binary64_2081` `neg-sub0_binary64_2138` `associate-l_binary64_2084` `neg-log_binary64_2236` `sqrt-pow1_binary64_2161` `*-commutative_binary64_2074`

Counts

4 → 68

Calls

4 calls:

11.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series334.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
120.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
64.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
28.0ms	(.f64 (.f64 3 a) c)

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5791	1426

prune164.0ms (2.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	3	12	15
Picked	0	1	1
Done	0	0	0
Total	81	15	96

Merged error: 6.8b

Counts

96 → 15

Compiler

Compiled 3359 to 2263 computations (32.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
2.6b	(.f64 (.f64 3 a) (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))))
4.7b	(/.f64 (.f64 (.f64 3 a) (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (.f64 3 a))
21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite76.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
35×	`add-sqr-sqrt_binary64_2165`
34×	`*-un-lft-identity_binary64_2143`
27×	`associate-r_binary64_2083`
23×	`cbrt-unprod_binary64_2176` `prod-exp_binary64_2192`
22×	`times-frac_binary64_2149`
18×	`add-cube-cbrt_binary64_2178`
16×	`cbrt-undiv_binary64_2177` `div-exp_binary64_2194`
10×	`pow1_binary64_2204` `sqrt-prod_binary64_2159`
8×	`add-log-exp_binary64_2182` `distribute-lft-out--_binary64_2095` `difference-of-squares_binary64_2112`
6×	`cancel-sign-sub-inv_binary64_2109`
4×	`distribute-rgt-neg-in_binary64_2101`
3×	`flip--_binary64_2118` `flip3--_binary64_2147` `pow-prod-down_binary64_2214`
2×	`sqrt-div_binary64_2160` `diff-log_binary64_2235` `associate-/r/_binary64_2089` `div-inv_binary64_2140` `associate-*r/_binary64_2085`
1×	`rem-sqrt-square_binary64_2156` `pow1/2_binary64_2223` `clear-num_binary64_2142` `associate-/r_binary64_2087` `sub-neg_binary64_2136` `associate-/l_binary64_2088` `associate--l-_binary64_2081` `neg-sub0_binary64_2138` `associate-l_binary64_2084` `neg-log_binary64_2236` `sqrt-pow1_binary64_2161` `*-commutative_binary64_2074` `frac-2neg_binary64_2154` `associate-/l/_binary64_2090`

Counts

4 → 119

Calls

4 calls:

20.0ms	(/.f64 (.f64 (.f64 3 a) (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (.f64 3 a))
20.0ms	(.f64 (.f64 3 a) (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))))
15.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series910.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

382.0ms	(.f64 (.f64 3 a) (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))))
291.0ms	(/.f64 (.f64 (.f64 3 a) (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))) (.f64 3 a))
124.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
112.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5163	3273

prune202.0ms (2.8%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	130	16	146

Merged error: 6.8b

Counts

146 → 16

Compiler

Compiled 4384 to 2632 computations (40% saved)

regimes263.0ms (3.7%)

Compiler: Compiled 1665 to 1306 computations (21.6% saved)

bsearch107.0ms (1.5%)

Steps

Iters	Range	Point
9	4.5762674785843844e+117	7.133955408180205e+122	6.036361899813576e+122
9	1.654574471472652e-279	2.464086180618573e-273	1.672182564513283e-279
8	-2.6124887179107254e+101	-9.062670540509247e+98	-5.843460629957331e+100

Iters

Range

Point

4.5762674785843844e+117

7.133955408180205e+122

6.036361899813576e+122

1.654574471472652e-279

2.464086180618573e-273

1.672182564513283e-279

-2.6124887179107254e+101

-9.062670540509247e+98

-5.843460629957331e+100

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	181	121
1	181	121

end0.0ms (0%)

sample1.5s (21.1%)

Algorithm

1×

intervals

Results

274.0ms	5220×	body	128	valid
272.0ms	1093×	body	2048	valid
141.0ms	717×	body	1024	valid
122.0ms	398×	body	4096	valid
56.0ms	376×	body	512	valid
32.0ms	661×	body	128	nan
19.0ms	196×	body	256	valid
18.0ms	360×	body	128	invalid

Compiler

Compiled 466 to 355 computations (23.8% saved)

Details

analyze450.0ms (6.3%)

sample40.0ms (0.6%)

simplify457.0ms (6.4%)

prune6.0ms (0.1%)

localize10.0ms (0.1%)

rewrite30.0ms (0.4%)

series345.0ms (4.8%)

simplify64.0ms (0.9%)

prune338.0ms (4.7%)

localize11.0ms (0.2%)

rewrite67.0ms (0.9%)

series909.0ms (12.6%)

simplify86.0ms (1.2%)

prune607.0ms (8.4%)

localize12.0ms (0.2%)

rewrite33.0ms (0.5%)

series334.0ms (4.6%)

simplify68.0ms (0.9%)

prune164.0ms (2.3%)

localize12.0ms (0.2%)

rewrite76.0ms (1.1%)

series910.0ms (12.7%)

simplify65.0ms (0.9%)

prune202.0ms (2.8%)

regimes263.0ms (3.7%)

bsearch107.0ms (1.5%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.5s (21.1%)

Profiling