Details

analyze148.0ms (7%)

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)

sample27.0ms (1.3%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify49.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

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

0.5b

Counts

2 → 2

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 1 (*.f64 i i))
0.6b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

rewrite102.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

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×	`add-cbrt-cube_binary64_2160` `associate-/r*_binary64_2068`
8×	`distribute-lft-out--_binary64_2076`
6×	`div-inv_binary64_2121` `associate-/l*_binary64_2069` `pow-flip_binary64_2198`
5×	`div-exp_binary64_2175`
3×	`cbrt-undiv_binary64_2158` `prod-exp_binary64_2173`
2×	`add-log-exp_binary64_2163` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/r/_binary64_2070` `1-exp_binary64_2168` `rec-exp_binary64_2174`
1×	`flip3--_binary64_2128` `flip--_binary64_2099` `inv-pow_binary64_2209` `pow2_binary64_2205` `pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `pow-plus_binary64_2187` `pow-sqr_binary64_2097` `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))

Compiler

Compiled 1349 to 1011 computations (25.1% saved)

series79.0ms (3.7%)

Error

0.0b

Counts

2 → 13

Calls

2 calls:

48.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
21.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 345 to 317 computations (8.1% saved)

simplify66.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4880	1285
1	4880	1285

prune77.0ms (3.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	94	2	96

Error

Counts

96 → 2

Compiler

Compiled 1261 to 957 computations (24.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.6b	(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

rewrite60.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`add-sqr-sqrt_binary64_2146`
21×	`times-frac_binary64_2130` `*-un-lft-identity_binary64_2124`
13×	`add-cube-cbrt_binary64_2159`
12×	`difference-of-squares_binary64_2093`
7×	`associate-/r*_binary64_2068`
4×	`unpow-prod-down_binary64_2203` `sqr-pow_binary64_2096` `distribute-lft-out--_binary64_2076`
3×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `associate-/l*_binary64_2069`
2×	`associate-/r/_binary64_2070`
1×	`pow1_binary64_2185` `div-exp_binary64_2175` `add-log-exp_binary64_2163` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `flip3--_binary64_2128` `flip--_binary64_2099`

Counts

1 → 45

Calls

1 calls:

7.0ms

(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

Compiler

Compiled 769 to 682 computations (11.3% saved)

series56.0ms (2.7%)

Error

Counts

1 → 10

Calls

1 calls:

50.0ms

(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

Compiler

Compiled 264 to 239 computations (9.5% saved)

simplify78.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4927	907
1	4927	907

prune48.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	55	2	57

Error

Counts

57 → 2

Compiler

Compiled 754 to 643 computations (14.7% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	1	1
Total	2	2

Error

Counts

2 → 2

Compiler

Compiled 0 to 0 computations (0% saved)

regimes87.0ms (4.1%)

Accuracy

Total 0.1b remaining (100%)

Threshold costs 0.1b (100%)

Compiler

Compiled 846 to 715 computations (15.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	22
1	36	22

end0.0ms (0%)

sample1.2s (57.2%)

Algorithm

1×

intervals

Results

414.0ms	8000×	body	128	valid
98.0ms	8000×	pre	128	true

Compiler

Compiled 403 to 348 computations (13.6% saved)

Details

analyze148.0ms (7%)

sample27.0ms (1.3%)

simplify49.0ms (2.3%)

prune5.0ms (0.2%)

localize6.0ms (0.3%)

rewrite102.0ms (4.8%)

series79.0ms (3.7%)

simplify66.0ms (3.1%)

prune77.0ms (3.6%)

localize5.0ms (0.2%)

rewrite60.0ms (2.8%)

series56.0ms (2.7%)

simplify78.0ms (3.7%)

prune48.0ms (2.3%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.4%)

prune0.0ms (0%)

regimes87.0ms (4.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (57.2%)

Profiling