Details

analyze150.0ms (2.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample26.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	30×	body	512	valid
6.0ms	61×	body	1024	valid
4.0ms	140×	body	128	valid
1.0ms	9×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

28.6b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

2.8b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite49.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

28.2b

Rules

11×	`add-sqr-sqrt_binary64_2146` `sqrt-prod_binary64_2140`
10×	`*-un-lft-identity_binary64_2124`
6×	`cancel-sign-sub-inv_binary64_2090`
4×	`difference-of-squares_binary64_2093`
3×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `distribute-lft-out--_binary64_2076`
1×	`diff-log_binary64_2216` `pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `distribute-lft-out_binary64_2075`

Counts

1 → 24

Calls

1 calls:

9.0ms

(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 275 to 175 computations (36.4% saved)

series47.0ms (0.9%)

Error

27.8b

Counts

1 → 3

Calls

1 calls:

45.0ms

(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 89 to 76 computations (14.6% saved)

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5280	397

prune34.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	3	28

Error

0.1b

Counts

28 → 3

Compiler

Compiled 220 to 153 computations (30.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite128.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`*-un-lft-identity_binary64_2124`
20×	`sqrt-prod_binary64_2140` `distribute-lft-out_binary64_2075`
18×	`times-frac_binary64_2130`
13×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
6×	`add-exp-log_binary64_2162` `associate-/r*_binary64_2068`
4×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
3×	`pow1_binary64_2185` `associate-/l*_binary64_2069`
2×	`div-exp_binary64_2175` `flip3-+_binary64_2127` `associate-/r/_binary64_2070` `flip-+_binary64_2098`
1×	`inv-pow_binary64_2209` `pow-flip_binary64_2198` `1-exp_binary64_2168` `rec-exp_binary64_2174` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

2 → 59

Calls

2 calls:

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

Compiler

Compiled 866 to 622 computations (28.2% saved)

series50.0ms (0.9%)

Error

0.1b

Counts

2 → 6

Calls

2 calls:

26.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
22.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 88 to 89 computations (-1.1% saved)

simplify99.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4780	1037
1	4780	1037

prune79.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	60	8	68

Error

0.0b

Counts

68 → 8

Compiler

Compiled 719 to 524 computations (27.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite846.0ms (15.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

310×	`*-un-lft-identity_binary64_2124`
290×	`sqrt-prod_binary64_2140`
172×	`times-frac_binary64_2130`
144×	`add-sqr-sqrt_binary64_2146`
116×	`distribute-lft-out_binary64_2075`
88×	`add-cube-cbrt_binary64_2159`
43×	`swap-sqr_binary64_2091`
31×	`pow1_binary64_2185`
27×	`sqrt-pow1_binary64_2142` `associate-l_binary64_2065` `associate-r_binary64_2064`
16×	`unswap-sqr_binary64_2092`
14×	`add-exp-log_binary64_2162` `associate-/r/_binary64_2070`
12×	`associate-/r*_binary64_2068`
11×	`inv-pow_binary64_2209` `pow-flip_binary64_2198`
10×	`add-cbrt-cube_binary64_2160`
9×	`pow1/2_binary64_2204` `pow-prod-up_binary64_2194` `rem-sqrt-square_binary64_2137` `div-inv_binary64_2121`
7×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
6×	`associate-/l*_binary64_2069`
5×	`pow-prod-down_binary64_2195` `sqrt-div_binary64_2141` `pow-sqr_binary64_2097`
4×	`add-log-exp_binary64_2163` `div-exp_binary64_2175`
3×	`sqr-abs_binary64_2139`
2×	`1-exp_binary64_2168` `rec-exp_binary64_2174` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `sqrt-unprod_binary64_2144` `rem-square-sqrt_binary64_2136` `frac-times_binary64_2134` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `*-commutative_binary64_2055`

Counts

4 → 281

Calls

4 calls:

48.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
11.0ms	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 6523 to 4853 computations (25.6% saved)

series132.0ms (2.4%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
30.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
28.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
28.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 443 to 400 computations (9.7% saved)

simplify124.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5824	5963

prune346.0ms (6.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	290	3	293
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	295	6	301

Error

Counts

301 → 6

Compiler

Compiled 3411 to 2516 computations (26.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.0b	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4) (/.f64 -1 2))
0.1b	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.5b	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4)

rewrite264.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`*-un-lft-identity_binary64_2124`
34×	`sqrt-prod_binary64_2140`
31×	`unpow-prod-down_binary64_2203`
19×	`add-sqr-sqrt_binary64_2146`
18×	`add-cube-cbrt_binary64_2159`
16×	`distribute-lft-out_binary64_2075` `pow-unpow_binary64_2201`
9×	`times-frac_binary64_2130`
7×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
6×	`add-log-exp_binary64_2163`
5×	`pow-exp_binary64_2192`
4×	`pow-pow_binary64_2196` `add-cbrt-cube_binary64_2160`
3×	`pow-to-exp_binary64_2193` `sqr-pow_binary64_2096`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `flip3-+_binary64_2127` `sqrt-div_binary64_2141` `flip-+_binary64_2098`
1×	`sqrt-pow2_binary64_2143` `rem-sqrt-square_binary64_2137` `div-inv_binary64_2121` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 97

Calls

4 calls:

14.0ms	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4) (/.f64 -1 2))
11.0ms	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4)
8.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
8.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 1929 to 1541 computations (20.1% saved)

series174.0ms (3.2%)

Error

Counts

4 → 12

Calls

4 calls:

63.0ms	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4) (/.f64 -1 2))
48.0ms	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4)
32.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
25.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 341 to 340 computations (0.3% saved)

simplify81.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5004	1870

prune155.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	109	6	115

Error

Counts

115 → 6

Compiler

Compiled 1288 to 1022 computations (20.7% saved)

regimes1.8s (32.4%)

Accuracy

Total 0.1b remaining (78.5%)

Threshold costs 0.1b (78.5%)

Compiler

Compiled 20581 to 17259 computations (16.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample853.0ms (15.4%)

Algorithm

1×

intervals

Results

218.0ms	2037×	body	1024	valid
127.0ms	4269×	body	128	valid
74.0ms	975×	body	512	valid
28.0ms	213×	body	2048	valid
26.0ms	506×	body	256	valid

Compiler

Compiled 165 to 138 computations (16.4% saved)

Details

analyze150.0ms (2.7%)

sample26.0ms (0.5%)

simplify9.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite49.0ms (0.9%)

series47.0ms (0.9%)

simplify59.0ms (1.1%)

prune34.0ms (0.6%)

localize6.0ms (0.1%)

rewrite128.0ms (2.3%)

series50.0ms (0.9%)

simplify99.0ms (1.8%)

prune79.0ms (1.4%)

localize9.0ms (0.2%)

rewrite846.0ms (15.3%)

series132.0ms (2.4%)

simplify124.0ms (2.2%)

prune346.0ms (6.2%)

localize12.0ms (0.2%)

rewrite264.0ms (4.8%)

series174.0ms (3.2%)

simplify81.0ms (1.5%)

prune155.0ms (2.8%)

regimes1.8s (32.4%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample853.0ms (15.4%)

Profiling