Details

analyze257.0ms (6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5047	13
0	1	1
1	1	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)

sample40.0ms (0.9%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify109.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5047	13

prune10.0ms (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)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 4 (/.f64 1 (*.f64 i i)))
0.1b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.6b	(/.f64 1 (*.f64 i i))

rewrite52.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-sqr-sqrt_binary64_2146`
40×	`times-frac_binary64_2130` `*-un-lft-identity_binary64_2124`
20×	`add-cube-cbrt_binary64_2159`
16×	`add-exp-log_binary64_2162`
15×	`difference-of-squares_binary64_2093`
11×	`pow1_binary64_2185`
10×	`distribute-lft-out--_binary64_2076` `add-cbrt-cube_binary64_2160`
9×	`associate-/r*_binary64_2068`
8×	`div-inv_binary64_2121`
7×	`cancel-sign-sub-inv_binary64_2090`
6×	`associate-/l*_binary64_2069` `pow-flip_binary64_2198`
5×	`add-log-exp_binary64_2163` `div-exp_binary64_2175`
3×	`cbrt-undiv_binary64_2158` `prod-exp_binary64_2173`
2×	`flip--_binary64_2099` `clear-num_binary64_2123` `flip3--_binary64_2128` `associate-/r/_binary64_2070` `1-exp_binary64_2168` `frac-2neg_binary64_2135` `rec-exp_binary64_2174`
1×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `diff-log_binary64_2216` `pow-plus_binary64_2187` `sub-neg_binary64_2117` `pow2_binary64_2205` `pow-sqr_binary64_2097` `inv-pow_binary64_2209` `cbrt-unprod_binary64_2157`

Counts

3 → 104

Calls

3 calls:

15.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
12.0ms	(-.f64 4 (/.f64 1 (*.f64 i i)))
10.0ms	(/.f64 1 (*.f64 i i))

series167.0ms (3.9%)

Counts

3 → 21

Calls

3 calls:

77.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
53.0ms	(-.f64 4 (/.f64 1 (*.f64 i i)))
36.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 278 to 270 computations (2.9% saved)

simplify183.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4855	1662
1	4855	1662

prune198.0ms (4.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	124	3	127

Error

Counts

127 → 3

Compiler

Compiled 1646 to 1234 computations (25% saved)

localize6.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

Counts

3 → 3

Compiler

Compiled 25 to 17 computations (32% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1)
0.1b	(.f64 (.f64 i i) (*.f64 i i))
17.3b	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
42.0b	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i)))

rewrite228.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Rules

303×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
168×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
115×	`pow1_binary64_2185`
76×	`cbrt-undiv_binary64_2158` `div-exp_binary64_2175`
38×	`times-frac_binary64_2130`
36×	`pow-prod-up_binary64_2194`
25×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
23×	`pow-prod-down_binary64_2195`
22×	`pow-sqr_binary64_2097`
18×	`add-cube-cbrt_binary64_2159` `pow-plus_binary64_2187`
14×	`difference-of-squares_binary64_2093`
13×	`pow2_binary64_2205`
9×	`div-inv_binary64_2121`
7×	`associate-/r*_binary64_2068` `difference-of-sqr-1_binary64_2094`
6×	`associate-/l*_binary64_2069` `add-log-exp_binary64_2163`
3×	`cancel-sign-sub-inv_binary64_2090`
2×	`flip--_binary64_2099` `clear-num_binary64_2123` `flip3--_binary64_2128` `associate-/r/_binary64_2070` `frac-2neg_binary64_2135`
1×	`unswap-sqr_binary64_2092` `-commutative_binary64_2055` `swap-sqr_binary64_2091` `diff-log_binary64_2216` `associate-l_binary64_2065` `sub-neg_binary64_2117` `associate-r*_binary64_2064` `associate-/l/_binary64_2071`

Counts

4 → 249

Calls

4 calls:

66.0ms	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
50.0ms	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i)))
17.0ms	(.f64 (.f64 i i) (*.f64 i i))
14.0ms	(-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1)

series332.0ms (7.8%)

Counts

4 → 24

Calls

4 calls:

129.0ms	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
90.0ms	(-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1)
61.0ms	(.f64 (.f64 i i) (*.f64 i i))
51.0ms	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i)))

Compiler

Compiled 570 to 462 computations (18.9% saved)

simplify243.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

273 → 273

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4862	3828
1	4862	3828

prune559.0ms (13.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	273	0	273
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	273	3	276

Error

Counts

276 → 3

Compiler

Compiled 5488 to 3957 computations (27.9% saved)

regimes137.0ms (3.2%)

Accuracy

Total 0.1b remaining (99.7%)

Threshold costs 0.1b (99.7%)

Compiler

Compiled 566 to 477 computations (15.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	22
1	34	22

end0.0ms (0%)

sample1.7s (39.5%)

Algorithm

1×

intervals

Results

764.0ms	8000×	body	128	valid
165.0ms	8000×	pre	128	true

Compiler

Compiled 263 to 229 computations (12.9% saved)

Details

analyze257.0ms (6%)

sample40.0ms (0.9%)

simplify109.0ms (2.6%)

prune10.0ms (0.2%)

localize13.0ms (0.3%)

rewrite52.0ms (1.2%)

series167.0ms (3.9%)

simplify183.0ms (4.3%)

prune198.0ms (4.6%)

localize6.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify13.0ms (0.3%)

prune4.0ms (0.1%)

localize18.0ms (0.4%)

rewrite228.0ms (5.4%)

series332.0ms (7.8%)

simplify243.0ms (5.7%)

prune559.0ms (13.1%)

regimes137.0ms (3.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.7s (39.5%)

Profiling