Details

analyze98.0ms (6.8%)

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)

sample19.0ms (1.3%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

prune3.0ms (0.2%)

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 (0.5%)

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))

rewrite150.0ms (10.4%)

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:

32.0ms	(+.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)

series147.0ms (10.2%)

Error

Counts

3 → 33

Calls

3 calls:

59.0ms	(+.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 943 to 788 computations (16.4% saved)

simplify88.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4936	1840
1	4936	1840

prune119.0ms (8.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	2	134

Error

Counts

134 → 2

Compiler

Compiled 2144 to 1561 computations (27.2% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

1.2b	(/.f64 2 (*.f64 x x))

rewrite21.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `times-frac_binary64_2130` `-un-lft-identity_binary64_2124` `associate-/l_binary64_2069`
2×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
1×	`pow1_binary64_2185` `prod-exp_binary64_2173` `add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r*_binary64_2068`

Counts

1 → 21

Calls

1 calls:

4.0ms

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

Compiler

Compiled 256 to 172 computations (32.8% saved)

series27.0ms (1.9%)

Error

Counts

1 → 3

Calls

1 calls:

25.0ms

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

Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify88.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4675	212
1	4675	212

prune14.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	24	2	26

Error

Counts

26 → 2

Compiler

Compiled 237 to 172 computations (27.4% saved)

regimes40.0ms (2.8%)

Accuracy

Total 0.0b remaining (90.4%)

Threshold costs 0.0b (90.4%)

Compiler

Compiled 274 to 236 computations (13.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms (0%)

sample606.0ms (42.1%)

Algorithm

1×

intervals

Results

244.0ms

8000×

body

128

valid

Compiler

Compiled 148 to 128 computations (13.5% saved)

Details

analyze98.0ms (6.8%)

sample19.0ms (1.3%)

simplify8.0ms (0.5%)

prune3.0ms (0.2%)

localize7.0ms (0.5%)

rewrite150.0ms (10.4%)

series147.0ms (10.2%)

simplify88.0ms (6.1%)

prune119.0ms (8.2%)

localize4.0ms (0.3%)

rewrite21.0ms (1.4%)

series27.0ms (1.9%)

simplify88.0ms (6.1%)

prune14.0ms (1%)

regimes40.0ms (2.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample606.0ms (42.1%)

Profiling