Details

analyze93.0ms (6.2%)

Algorithm

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample16.0ms (1.1%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12

prune2.0ms (0.1%)

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 (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64_2124`
20×	`add-sqr-sqrt_binary64_2146`
18×	`times-frac_binary64_2130`
16×	`distribute-lft-out_binary64_2075`
12×	`add-cube-cbrt_binary64_2159`
8×	`sqrt-prod_binary64_2140`
6×	`associate-/r*_binary64_2068`
3×	`associate-/l*_binary64_2069` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
2×	`associate-/r/_binary64_2070`
1×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `pow1_binary64_2185` `add-log-exp_binary64_2163` `flip3-+_binary64_2127` `flip-+_binary64_2098` `div-inv_binary64_2121` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

1 → 41

Calls

1 calls:

8.0ms

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

series61.0ms (4.1%)

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify63.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4954	1013
1	4954	1013

prune50.0ms (3.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	2	45

Error

Counts

45 → 2

Compiler

Compiled 794 to 591 computations (25.6% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite32.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`*-un-lft-identity_binary64_2124`
45×	`add-sqr-sqrt_binary64_2146`
38×	`times-frac_binary64_2130`
28×	`distribute-lft-out_binary64_2075`
24×	`add-cube-cbrt_binary64_2159` `associate-r_binary64_2064`
15×	`add-exp-log_binary64_2162`
14×	`sqrt-prod_binary64_2140`
9×	`add-cbrt-cube_binary64_2160`
6×	`associate-/r*_binary64_2068`
5×	`pow1_binary64_2185`
4×	`associate-/r/_binary64_2070` `prod-exp_binary64_2173` `div-exp_binary64_2175`
3×	`unswap-sqr_binary64_2092` `associate-/l_binary64_2069` `associate-l*_binary64_2065`
2×	`cbrt-undiv_binary64_2158` `add-log-exp_binary64_2163` `flip3-+_binary64_2127` `flip-+_binary64_2098` `1-exp_binary64_2168` `div-inv_binary64_2121` `cbrt-unprod_binary64_2157` `rec-exp_binary64_2174`
1×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `un-div-inv_binary64_2122` `-commutative_binary64_2055` `pow-flip_binary64_2198` `associate-r/_binary64_2066` `inv-pow_binary64_2209` `frac-2neg_binary64_2135`

Counts

2 → 92

Calls

2 calls:

16.0ms	(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
8.0ms	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

series106.0ms (7.1%)

Counts

2 → 6

Calls

2 calls:

62.0ms	(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
43.0ms	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

simplify82.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4922	1952
1	4922	1952

prune102.0ms (6.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	98	2	100

Error

Counts

100 → 2

Compiler

Compiled 1822 to 1488 computations (18.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

3.4b	(-.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

7.0ms

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

series19.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify82.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4904	435
1	4904	435

prune24.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	28	2	30

Error

Counts

30 → 2

Compiler

Compiled 383 to 326 computations (14.9% saved)

regimes77.0ms (5.2%)

Accuracy

Total 0.2b remaining (98.8%)

Threshold costs 0.2b (98.8%)

Compiler

Compiled 641 to 534 computations (16.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	15
1	12	15

end0.0ms (0%)

sample633.0ms (42.6%)

Algorithm

1×

intervals

Results

220.0ms	7997×	body	128	valid
0.0ms	3×	body	2048	valid

Compiler

Compiled 284 to 237 computations (16.5% saved)

Details

analyze93.0ms (6.2%)

sample16.0ms (1.1%)

simplify7.0ms (0.5%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite11.0ms (0.8%)

series61.0ms (4.1%)

simplify63.0ms (4.2%)

prune50.0ms (3.4%)

localize6.0ms (0.4%)

rewrite32.0ms (2.2%)

series106.0ms (7.1%)

simplify82.0ms (5.5%)

prune102.0ms (6.9%)

localize5.0ms (0.3%)

rewrite9.0ms (0.6%)

series19.0ms (1.3%)

simplify82.0ms (5.5%)

prune24.0ms (1.6%)

regimes77.0ms (5.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample633.0ms (42.6%)

Profiling