Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	0%	50%	2

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	71×	body	1024	valid
5.0ms	132×	body	128	valid
5.0ms	43×	body	512	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify104.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	75	17
1	75	17

prune2.0ms (0%)

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

Error

21.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
0.3b	(/.f64 1 (sqrt.f64 x))
2.3b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite343.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

20.7b

Rules

127×	`add-sqr-sqrt_binary64_2146`
118×	`times-frac_binary64_2130`
117×	`*-un-lft-identity_binary64_2124`
76×	`sqrt-prod_binary64_2140`
56×	`add-cube-cbrt_binary64_2159`
27×	`cancel-sign-sub-inv_binary64_2090`
25×	`difference-of-squares_binary64_2093`
13×	`distribute-lft-out--_binary64_2076` `associate-/r*_binary64_2068`
12×	`add-exp-log_binary64_2162`
11×	`distribute-lft-out_binary64_2075`
9×	`pow1_binary64_2185`
8×	`add-cbrt-cube_binary64_2160`
7×	`div-inv_binary64_2121`
6×	`add-log-exp_binary64_2163` `sqrt-div_binary64_2141` `pow-flip_binary64_2198` `associate-/l*_binary64_2069`
4×	`associate-/r/_binary64_2070` `div-exp_binary64_2175`
3×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `pow1/2_binary64_2204` `sqrt-pow1_binary64_2142`
2×	`inv-pow_binary64_2209` `1-exp_binary64_2168` `rec-exp_binary64_2174` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`diff-log_binary64_2216` `frac-sub_binary64_2133` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `rem-sqrt-square_binary64_2137`

Counts

4 → 189

Calls

4 calls:

43.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
4.0ms	(/.f64 1 (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 3837 to 2945 computations (23.2% saved)

series76.0ms (0.9%)

Error

21.0b

Counts

4 → 14

Calls

4 calls:

25.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
16.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
14.0ms	(sqrt.f64 (+.f64 x 1))
12.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 435 to 360 computations (17.2% saved)

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5145	3271

prune242.0ms (2.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	191	12	203
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	192	12	204

Error

20.7b

Counts

204 → 12

Compiler

Compiled 3582 to 2678 computations (25.2% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.1b	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.3b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
2.3b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

rewrite186.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

20.6b

Rules

46×	`add-sqr-sqrt_binary64_2146`
42×	`sqrt-prod_binary64_2140`
38×	`*-un-lft-identity_binary64_2124`
13×	`add-cube-cbrt_binary64_2159`
12×	`difference-of-squares_binary64_2093`
11×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`times-frac_binary64_2130` `associate-/l*_binary64_2069`
9×	`pow1_binary64_2185` `distribute-lft-out--_binary64_2076`
7×	`associate-r_binary64_2064`
6×	`add-log-exp_binary64_2163` `cancel-sign-sub-inv_binary64_2090` `sqrt-div_binary64_2141` `associate-l_binary64_2065`
5×	`distribute-lft-out_binary64_2075`
4×	`unswap-sqr_binary64_2092` `associate-*r/_binary64_2066`
3×	`pow1/2_binary64_2204` `pow-prod-down_binary64_2195` `sqrt-pow1_binary64_2142` `flip3-+_binary64_2127` `flip-+_binary64_2098`
2×	`flip3--_binary64_2128` `flip--_binary64_2099` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070`
1×	`diff-log_binary64_2216` `sub-neg_binary64_2117` `sqrt-unprod_binary64_2144` `-commutative_binary64_2055` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r_binary64_2068` `rem-sqrt-square_binary64_2137`

Counts

4 → 113

Calls

4 calls:

18.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
9.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 2641 to 1665 computations (37% saved)

series147.0ms (1.7%)

Error

20.6b

Counts

4 → 17

Calls

4 calls:

58.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
30.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
27.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
17.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 754 to 567 computations (24.8% saved)

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5205	2116

prune140.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	10	1	11
Picked	1	0	1
Done	0	0	0
Total	140	2	142

Error

0.3b

Counts

142 → 2

Compiler

Compiled 2543 to 1620 computations (36.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.2b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.3b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))

rewrite339.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

114×	`*-un-lft-identity_binary64_2124`
78×	`times-frac_binary64_2130`
55×	`sqrt-prod_binary64_2140`
49×	`add-sqr-sqrt_binary64_2146`
42×	`distribute-lft-out_binary64_2075`
40×	`add-cube-cbrt_binary64_2159`
32×	`add-exp-log_binary64_2162`
27×	`associate-/l*_binary64_2069`
20×	`add-cbrt-cube_binary64_2160`
14×	`div-exp_binary64_2175`
10×	`pow1_binary64_2185`
8×	`associate-/r/_binary64_2070`
7×	`associate-r_binary64_2064` `cbrt-undiv_binary64_2158` `associate-/r*_binary64_2068`
6×	`flip3-+_binary64_2127` `sqrt-div_binary64_2141` `flip-+_binary64_2098` `associate-l_binary64_2065`
5×	`prod-exp_binary64_2173`
4×	`add-log-exp_binary64_2163` `unswap-sqr_binary64_2092` `associate-*r/_binary64_2066` `div-inv_binary64_2121`
3×	`pow1/2_binary64_2204` `pow-prod-down_binary64_2195` `sqrt-pow1_binary64_2142` `cbrt-unprod_binary64_2157` `1-exp_binary64_2168` `rec-exp_binary64_2174`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`sqrt-unprod_binary64_2144` `*-commutative_binary64_2055` `associate-/l/_binary64_2071` `inv-pow_binary64_2209` `pow-flip_binary64_2198` `rem-sqrt-square_binary64_2137`

Counts

4 → 168

Calls

4 calls:

23.0ms	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
10.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
3.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 4438 to 3078 computations (30.6% saved)

series119.0ms (1.4%)

Error

0.1b

Counts

4 → 17

Calls

4 calls:

44.0ms	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
26.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
17.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
17.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 680 to 525 computations (22.8% saved)

simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4971	3642
1	4971	3642

prune254.0ms (2.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	177	8	185
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	178	9	187

Error

0.0b

Counts

187 → 9

Compiler

Compiled 4258 to 2926 computations (31.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 (+.f64 x 1) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
0.1b	(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (+.f64 x 1) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
0.3b	(/.f64 1 (sqrt.f64 x))
0.3b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))

rewrite439.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

109×	`add-sqr-sqrt_binary64_2146`
82×	`times-frac_binary64_2130`
66×	`*-un-lft-identity_binary64_2124`
54×	`add-exp-log_binary64_2162`
53×	`add-cube-cbrt_binary64_2159`
38×	`sqrt-prod_binary64_2140`
29×	`associate-r_binary64_2064`
28×	`associate-l_binary64_2065`
22×	`add-cbrt-cube_binary64_2160`
20×	`div-exp_binary64_2175`
19×	`unswap-sqr_binary64_2092`
17×	`prod-exp_binary64_2173`
15×	`pow1_binary64_2185`
12×	`associate-/r/_binary64_2070`
11×	`flip3-+_binary64_2127` `associate-*r/_binary64_2066` `flip-+_binary64_2098`
10×	`sqrt-div_binary64_2141` `1-exp_binary64_2168` `rec-exp_binary64_2174` `associate-/r*_binary64_2068`
8×	`frac-add_binary64_2132`
7×	`distribute-rgt-out_binary64_2077`
6×	`pow-prod-down_binary64_2195` `pow-flip_binary64_2198` `cbrt-undiv_binary64_2158` `associate-/l*_binary64_2069`
5×	`cbrt-unprod_binary64_2157`
4×	`add-log-exp_binary64_2163` `inv-pow_binary64_2209` `div-inv_binary64_2121`
3×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142`
2×	`*-commutative_binary64_2055` `frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`sqrt-unprod_binary64_2144` `distribute-lft-out_binary64_2075` `frac-times_binary64_2134` `un-div-inv_binary64_2122` `associate-*l/_binary64_2067`

Counts

4 → 213

Calls

4 calls:

26.0ms	(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (+.f64 x 1) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
10.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
8.0ms	(/.f64 1 (+.f64 (+.f64 x 1) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
4.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 6289 to 4291 computations (31.8% saved)

series120.0ms (1.4%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

35.0ms	(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (+.f64 x 1) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
30.0ms	(/.f64 1 (+.f64 (+.f64 x 1) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
27.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
13.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 732 to 593 computations (19% saved)

simplify114.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4925	5154
1	4925	5154

prune333.0ms (3.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	227	4	231
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	232	8	240

Error

Counts

240 → 8

Compiler

Compiled 5723 to 3821 computations (33.2% saved)

regimes715.0ms (8.2%)

Accuracy

Total 0.2b remaining (99.1%)

Threshold costs 0.2b (99.1%)

Compiler

Compiled 9253 to 7335 computations (20.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	26
1	17	26

end0.0ms (0%)

sample4.8s (54.5%)

Algorithm

1×

intervals

Results

327.0ms	2168×	body	1024	valid
174.0ms	4285×	body	128	valid
108.0ms	1001×	body	512	valid
47.0ms	546×	body	256	valid

Compiler

Compiled 4586 to 3633 computations (20.8% saved)

Details

analyze2.0ms (0%)

sample28.0ms (0.3%)

simplify104.0ms (1.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite343.0ms (3.9%)

series76.0ms (0.9%)

simplify92.0ms (1%)

prune242.0ms (2.8%)

localize7.0ms (0.1%)

rewrite186.0ms (2.1%)

series147.0ms (1.7%)

simplify67.0ms (0.8%)

prune140.0ms (1.6%)

localize9.0ms (0.1%)

rewrite339.0ms (3.9%)

series119.0ms (1.4%)

simplify94.0ms (1.1%)

prune254.0ms (2.9%)

localize10.0ms (0.1%)

rewrite439.0ms (5%)

series120.0ms (1.4%)

simplify114.0ms (1.3%)

prune333.0ms (3.8%)

regimes715.0ms (8.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.8s (54.5%)

Profiling