Details

analyze7.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 29 to 20 computations (31% saved)

sample21.0ms (1.1%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify142.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5047	13

prune5.0ms (0.2%)

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

0.1b

Counts

2 → 2

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.4b	(/.f64 1 (*.f64 i i))

rewrite19.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_2146`
35×	`times-frac_binary64_2130`
33×	`*-un-lft-identity_binary64_2124`
17×	`add-cube-cbrt_binary64_2159`
15×	`add-exp-log_binary64_2162`
12×	`difference-of-squares_binary64_2093`
10×	`pow1_binary64_2185`
9×	`associate-/r*_binary64_2068` `add-cbrt-cube_binary64_2160`
8×	`distribute-lft-out--_binary64_2076`
6×	`associate-/l*_binary64_2069` `pow-flip_binary64_2198` `div-inv_binary64_2121`
5×	`div-exp_binary64_2175`
3×	`cbrt-undiv_binary64_2158` `prod-exp_binary64_2173`
2×	`clear-num_binary64_2123` `associate-/r/_binary64_2070` `add-log-exp_binary64_2163` `1-exp_binary64_2168` `frac-2neg_binary64_2135` `rec-exp_binary64_2174`
1×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `pow-prod-up_binary64_2194` `pow-plus_binary64_2187` `pow2_binary64_2205` `pow-sqr_binary64_2097` `inv-pow_binary64_2209` `cbrt-unprod_binary64_2157`

Counts

2 → 81

Calls

2 calls:

8.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
5.0ms	(/.f64 1 (*.f64 i i))

series29.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

17.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
12.0ms	(/.f64 1 (*.f64 i i))

simplify79.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5049	1212

prune78.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	87	2	89

Error

Counts

89 → 2

Compiler

Compiled 1213 to 928 computations (23.5% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2 (/.f64 1 i))
0.0b	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
0.1b	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
0.1b	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))

rewrite77.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

123×	`add-sqr-sqrt_binary64_2146`
108×	`*-un-lft-identity_binary64_2124`
107×	`times-frac_binary64_2130`
55×	`add-cube-cbrt_binary64_2159`
30×	`associate-r_binary64_2064`
24×	`difference-of-squares_binary64_2093`
21×	`associate-l_binary64_2065`
20×	`add-exp-log_binary64_2162` `div-inv_binary64_2121` `add-cbrt-cube_binary64_2160`
16×	`distribute-lft-out--_binary64_2076`
14×	`distribute-lft-out_binary64_2075`
13×	`cancel-sign-sub-inv_binary64_2090` `associate-/r*_binary64_2068`
8×	`associate-/r/_binary64_2070`
6×	`cbrt-undiv_binary64_2158` `associate-/l*_binary64_2069` `pow1_binary64_2185` `add-log-exp_binary64_2163` `div-exp_binary64_2175`
4×	`unswap-sqr_binary64_2092` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`flip--_binary64_2099` `flip3--_binary64_2128`
2×	`clear-num_binary64_2123` `flip3-+_binary64_2127` `flip-+_binary64_2098` `frac-2neg_binary64_2135`
1×	`pow-prod-down_binary64_2195` `-commutative_binary64_2055` `diff-log_binary64_2216` `associate-l/_binary64_2067` `sub-neg_binary64_2117` `associate-*r/_binary64_2066` `frac-times_binary64_2134`

Counts

4 → 190

Calls

4 calls:

34.0ms	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
9.0ms	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
8.0ms	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
8.0ms	(-.f64 2 (/.f64 1 i))

series50.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
9.0ms	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
9.0ms	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
8.0ms	(-.f64 2 (/.f64 1 i))

simplify85.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4910	3644
1	4910	3644

prune288.0ms (15.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	202	2	204

Error

Counts

204 → 2

Compiler

Compiled 4356 to 3782 computations (13.2% saved)

regimes53.0ms (2.8%)

Accuracy

Total 0.1b remaining (96.8%)

Threshold costs 0.1b (96.8%)

Compiler

Compiled 586 to 494 computations (15.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	26
1	24	26

end0.0ms (0%)

sample920.0ms (49.2%)

Algorithm

1×

intervals

Results

399.0ms	8000×	body	128	valid
99.0ms	8000×	pre	128	true

Compiler

Compiled 313 to 266 computations (15% saved)

Details

analyze7.0ms (0.4%)

sample21.0ms (1.1%)

simplify142.0ms (7.6%)

prune5.0ms (0.2%)

localize6.0ms (0.3%)

rewrite19.0ms (1%)

series29.0ms (1.6%)

simplify79.0ms (4.2%)

prune78.0ms (4.2%)

localize8.0ms (0.4%)

rewrite77.0ms (4.1%)

series50.0ms (2.7%)

simplify85.0ms (4.6%)

prune288.0ms (15.4%)

regimes53.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample920.0ms (49.2%)

Profiling