Details

analyze95.0ms (5.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample21.0ms (1.1%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

prune3.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b	(/.f64 1 (-.f64 x 1))

rewrite155.0ms (8.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

67×	`*-un-lft-identity_binary64_2124`
41×	`times-frac_binary64_2130`
40×	`add-sqr-sqrt_binary64_2146`
24×	`add-cube-cbrt_binary64_2159`
12×	`distribute-lft-out_binary64_2075`
11×	`associate-/r*_binary64_2068`
9×	`add-exp-log_binary64_2162`
8×	`difference-of-squares_binary64_2093`
7×	`add-cbrt-cube_binary64_2160`
6×	`distribute-lft-out--_binary64_2076` `associate-/l*_binary64_2069`
5×	`add-log-exp_binary64_2163`
4×	`pow1_binary64_2185` `difference-of-sqr-1_binary64_2094` `associate-/r/_binary64_2070`
3×	`div-exp_binary64_2175` `div-inv_binary64_2121`
2×	`cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`inv-pow_binary64_2209` `pow-flip_binary64_2198` `1-exp_binary64_2168` `rec-exp_binary64_2174` `flip3--_binary64_2128` `flip--_binary64_2099` `sum-log_binary64_2215` `frac-add_binary64_2132` `+-commutative_binary64_2054`

Counts

3 → 100

Calls

3 calls:

33.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 1870 to 1402 computations (25% saved)

series158.0ms (8.8%)

Error

Counts

3 → 36

Calls

3 calls:

66.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
30.0ms	(/.f64 x (+.f64 x 1))
28.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 1016 to 849 computations (16.4% saved)

simplify83.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4999	1891
1	4999	1891

prune124.0ms (6.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	135	2	137

Error

Counts

137 → 2

Compiler

Compiled 2185 to 1589 computations (27.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 2 (.f64 x x))

rewrite22.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `add-sqr-sqrt_binary64_2146` `associate-l_binary64_2065`
2×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
1×	`add-log-exp_binary64_2163` `unswap-sqr_binary64_2092` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

1 → 19

Calls

1 calls:

8.0ms

(*.f64 2 (*.f64 x x))

Compiler

Compiled 231 to 151 computations (34.6% saved)

series28.0ms (1.5%)

Error

Counts

1 → 3

Calls

1 calls:

25.0ms

(*.f64 2 (*.f64 x x))

Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify66.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5069	180

prune14.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 213 to 148 computations (30.5% saved)

regimes59.0ms (3.3%)

Accuracy

Total 0.0b remaining (96.9%)

Threshold costs 0.0b (96.9%)

Compiler

Compiled 443 to 367 computations (17.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	20
1	22	20

end0.0ms (0%)

sample952.0ms (52.9%)

Algorithm

1×

intervals

Results

260.0ms

8000×

body

128

valid

Compiler

Compiled 199 to 166 computations (16.6% saved)

Details

analyze95.0ms (5.3%)

sample21.0ms (1.1%)

simplify9.0ms (0.5%)

prune3.0ms (0.1%)

localize7.0ms (0.4%)

rewrite155.0ms (8.6%)

series158.0ms (8.8%)

simplify83.0ms (4.6%)

prune124.0ms (6.9%)

localize4.0ms (0.2%)

rewrite22.0ms (1.2%)

series28.0ms (1.5%)

simplify66.0ms (3.7%)

prune14.0ms (0.8%)

regimes59.0ms (3.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample952.0ms (52.9%)

Profiling