Details

analyze155.0ms (3%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	2
50%	25%	25%	3
50%	25%	25%	3
62.5%	12.5%	25%	4
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	13
74.9%	0%	25%	14
74.9%	0%	25%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample119.0ms (2.3%)

Algorithm

2×

intervals

Results

13.0ms	511×	body	128	valid
4.0ms	153×	body	128	nan
0.0ms	1×	body	2048	valid

Compiler

Compiled 3059 to 3058 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12

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

0.2b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite113.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64_2124`
26×	`add-sqr-sqrt_binary64_2146`
21×	`distribute-lft-out_binary64_2075`
18×	`times-frac_binary64_2130`
15×	`add-cube-cbrt_binary64_2159`
14×	`sqrt-prod_binary64_2140`
6×	`associate-/r*_binary64_2068`
5×	`add-exp-log_binary64_2162` `add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
4×	`pow1_binary64_2185`
3×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-/l*_binary64_2069`
2×	`associate-/r/_binary64_2070` `sqrt-div_binary64_2141`
1×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `sum-log_binary64_2215` `+-commutative_binary64_2054` `pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137`

Counts

3 → 71

Calls

3 calls:

11.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 1133 to 876 computations (22.7% saved)

series113.0ms (2.2%)

Error

0.2b

Counts

3 → 18

Calls

3 calls:

52.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
25.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
23.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 446 to 364 computations (18.4% saved)

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4923	1202
1	4923	1202

prune93.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Error

Counts

90 → 5

Compiler

Compiled 1205 to 912 computations (24.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.1b	(sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.2b	(/.f64 x (*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
0.8b	(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))

rewrite323.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`sqrt-prod_binary64_2140`
58×	`*-un-lft-identity_binary64_2124`
48×	`add-sqr-sqrt_binary64_2146`
32×	`distribute-lft-out_binary64_2075`
28×	`sqrt-div_binary64_2141`
21×	`pow1_binary64_2185`
16×	`add-cube-cbrt_binary64_2159`
15×	`swap-sqr_binary64_2091`
14×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
11×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142`
9×	`associate-l_binary64_2065` `associate-r_binary64_2064`
8×	`frac-times_binary64_2134` `associate-/r/_binary64_2070`
5×	`pow-prod-up_binary64_2194`
4×	`add-log-exp_binary64_2163` `rem-sqrt-square_binary64_2137` `unswap-sqr_binary64_2092` `associate-l/_binary64_2067` `associate-r/_binary64_2066`
3×	`pow-prod-down_binary64_2195` `pow-sqr_binary64_2097` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
2×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `sqrt-unprod_binary64_2144` `sqr-abs_binary64_2139` `rem-square-sqrt_binary64_2136` `-commutative_binary64_2055` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r_binary64_2068`

Counts

4 → 136

Calls

4 calls:

20.0ms	(/.f64 x (*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
19.0ms	(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
6.0ms	(sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 3847 to 3270 computations (15% saved)

series240.0ms (4.6%)

Error

Counts

4 → 24

Calls

4 calls:

65.0ms	(sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
60.0ms	(sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
56.0ms	(/.f64 x (*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
30.0ms	(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))

Compiler

Compiled 1136 to 974 computations (14.3% saved)

simplify83.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4921	2333
1	4921	2333

prune195.0ms (3.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	160	5	165

Error

Counts

165 → 5

Compiler

Compiled 2953 to 2417 computations (18.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3))
0.1b	(pow.f64 (sqrt.f64 (+.f64 x 1)) 3)
0.2b	(/.f64 x (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))
7.5b	(/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))

rewrite651.0ms (12.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

250×	`*-un-lft-identity_binary64_2124`
178×	`times-frac_binary64_2130`
87×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
71×	`distribute-lft-out_binary64_2075`
31×	`associate-/r*_binary64_2068`
21×	`distribute-lft-out--_binary64_2076`
12×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
11×	`associate-/r/_binary64_2070`
8×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `sqrt-prod_binary64_2140`
7×	`associate-/l*_binary64_2069` `unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
6×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `div-inv_binary64_2121`
4×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
3×	`pow-unpow_binary64_2201` `pow-pow_binary64_2196`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l/_binary64_2071` `sqrt-div_binary64_2141` `cube-div_binary64_2153`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow3_binary64_2190` `cube-mult_binary64_2154` `rem-cube-cbrt_binary64_2147` `sqrt-pow2_binary64_2143` `sqr-pow_binary64_2096` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 215

Calls

4 calls:

24.0ms	(/.f64 x (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))
19.0ms	(/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
9.0ms	(+.f64 1 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3))
5.0ms	(pow.f64 (sqrt.f64 (+.f64 x 1)) 3)

Compiler

Compiled 7448 to 5943 computations (20.2% saved)

series210.0ms (4%)

Error

Counts

4 → 24

Calls

4 calls:

65.0ms	(/.f64 x (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))
50.0ms	(/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
39.0ms	(pow.f64 (sqrt.f64 (+.f64 x 1)) 3)
34.0ms	(+.f64 1 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3))

Compiler

Compiled 860 to 685 computations (20.3% saved)

simplify133.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4949	8261
1	4949	8261

prune508.0ms (9.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	239	0	239
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	239	5	244

Error

Counts

244 → 5

Compiler

Compiled 7198 to 5642 computations (21.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite251.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`*-un-lft-identity_binary64_2124`
92×	`add-sqr-sqrt_binary64_2146`
79×	`sqrt-prod_binary64_2140`
76×	`times-frac_binary64_2130`
57×	`distribute-lft-out_binary64_2075`
47×	`add-cube-cbrt_binary64_2159`
42×	`associate-r_binary64_2064`
11×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
7×	`pow1_binary64_2185`
6×	`add-log-exp_binary64_2163` `unswap-sqr_binary64_2092` `associate-l_binary64_2065` `associate-/l_binary64_2069` `associate-/r_binary64_2068`
4×	`flip3-+_binary64_2127` `associate-/r/_binary64_2070` `flip-+_binary64_2098`
2×	`div-exp_binary64_2175` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `cbrt-undiv_binary64_2158` `div-inv_binary64_2121` `sqrt-div_binary64_2141`
1×	`pow-prod-down_binary64_2195` `associate-r/_binary64_2066` `-commutative_binary64_2055` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `sum-log_binary64_2215` `+-commutative_binary64_2054` `pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137`

Counts

4 → 160

Calls

4 calls:

22.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
9.0ms	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 3521 to 2199 computations (37.5% saved)

series184.0ms (3.6%)

Error

Counts

4 → 21

Calls

4 calls:

60.0ms	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
58.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
26.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
24.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 740 to 546 computations (26.2% saved)

simplify84.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5028	3000

prune199.0ms (3.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	181	5	186

Error

Counts

186 → 5

Compiler

Compiled 3197 to 1999 computations (37.5% saved)

regimes165.0ms (3.2%)

Accuracy

Total 0.2b remaining (99.9%)

Threshold costs 0.2b (99.9%)

Compiler

Compiled 1378 to 1156 computations (16.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12

end0.0ms (0%)

sample1.3s (24.4%)

Algorithm

1×

intervals

Results

221.0ms	7994×	body	128	valid
69.0ms	2739×	body	128	nan
1.0ms	6×	body	2048	valid

Compiler

Compiled 697 to 586 computations (15.9% saved)

Details

analyze155.0ms (3%)

sample119.0ms (2.3%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite113.0ms (2.2%)

series113.0ms (2.2%)

simplify59.0ms (1.1%)

prune93.0ms (1.8%)

localize8.0ms (0.1%)

rewrite323.0ms (6.2%)

series240.0ms (4.6%)

simplify83.0ms (1.6%)

prune195.0ms (3.8%)

localize12.0ms (0.2%)

rewrite651.0ms (12.5%)

series210.0ms (4%)

simplify133.0ms (2.6%)

prune508.0ms (9.8%)

localize7.0ms (0.1%)

rewrite251.0ms (4.8%)

series184.0ms (3.6%)

simplify84.0ms (1.6%)

prune199.0ms (3.8%)

regimes165.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (24.4%)

Profiling