Details

analyze232.0ms (13%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample14.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify176.0ms (9.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	180	10
1	180	10

prune2.0ms (0.1%)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 y 4) z))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_7864`
1×	`add-sqr-sqrt_binary64_7849` `add-exp-log_binary64_7863` `pow1_binary64_7886` `diff-log_binary64_7917` `sub-neg_binary64_7821` `add-cbrt-cube_binary64_7861` `flip3--_binary64_7832` `add-cube-cbrt_binary64_7860` `flip--_binary64_7803` `*-un-lft-identity_binary64_7828`

Counts

1 → 11

Calls

1 calls:

4.0ms

(-.f64 x (*.f64 (*.f64 y 4) z))

series74.0ms (4.2%)

Counts

1 → 3

Calls

1 calls:

74.0ms

(-.f64 x (*.f64 (*.f64 y 4) z))

simplify54.0ms (3%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5180	209

prune12.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

Compiler

Compiled 191 to 125 computations (34.6% saved)

localize13.0ms (0.7%)

Local error

Found 4 expressions with local error:

3.1b	(-.f64 (.f64 x x) (.f64 y (.f64 (.f64 y 16) (*.f64 z z))))
3.7b	(.f64 y (.f64 (.f64 y 16) (.f64 z z)))
8.6b	(.f64 (.f64 y 16) (*.f64 z z))
23.6b	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 (.f64 y 16) (.f64 z z)))) (+.f64 x (.f64 (*.f64 y 4) z)))

rewrite42.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-exp-log_binary64_7863` `add-cbrt-cube_binary64_7861`
34×	`pow1_binary64_7886`
21×	`pow-prod-down_binary64_7896` `cbrt-unprod_binary64_7858` `prod-exp_binary64_7874`
13×	`add-sqr-sqrt_binary64_7849` `add-cube-cbrt_binary64_7860` `*-un-lft-identity_binary64_7828`
9×	`times-frac_binary64_7834`
6×	`add-log-exp_binary64_7864`
4×	`associate-l_binary64_7771`
3×	`associate-/r_binary64_7774` `associate-/l_binary64_7775`
2×	`flip3--_binary64_7832` `associate-/r/_binary64_7776` `-commutative_binary64_7761` `flip--_binary64_7803` `associate-r*_binary64_7770` `associate-/l/_binary64_7777`
1×	`div-inv_binary64_7825` `diff-log_binary64_7917` `div-sub_binary64_7833` `sub-neg_binary64_7821` `flip3-+_binary64_7831` `flip-+_binary64_7802` `clear-num_binary64_7827` `cbrt-undiv_binary64_7859` `div-exp_binary64_7876` `frac-2neg_binary64_7839`

Counts

4 → 92

Calls

4 calls:

11.0ms	(.f64 y (.f64 (.f64 y 16) (.f64 z z)))
9.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 (.f64 y 16) (.f64 z z)))) (+.f64 x (.f64 (*.f64 y 4) z)))
8.0ms	(.f64 (.f64 y 16) (*.f64 z z))
5.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 (.f64 y 16) (*.f64 z z))))

series433.0ms (24.3%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 (.f64 y 16) (.f64 z z)))) (+.f64 x (.f64 (*.f64 y 4) z)))
159.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 (.f64 y 16) (*.f64 z z))))
54.0ms	(.f64 y (.f64 (.f64 y 16) (.f64 z z)))
48.0ms	(.f64 (.f64 y 16) (*.f64 z z))

simplify81.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4944	2448
1	4944	2448

prune118.0ms (6.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	104	2	106

Merged error: 0.0b

Counts

106 → 2

Compiler

Compiled 2861 to 1506 computations (47.4% saved)

regimes60.0ms (3.4%)

Compiler: Compiled 210 to 204 computations (2.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

end0.0ms (0%)

sample460.0ms (25.8%)

Algorithm

1×

intervals

Results

195.0ms	8000×	body	128	valid
7.0ms	298×	body	128	invalid

Compiler

Compiled 44 to 43 computations (2.3% saved)

Details

analyze232.0ms (13%)

sample14.0ms (0.8%)

simplify176.0ms (9.8%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite5.0ms (0.3%)

series74.0ms (4.2%)

simplify54.0ms (3%)

prune12.0ms (0.7%)

localize13.0ms (0.7%)

rewrite42.0ms (2.4%)

series433.0ms (24.3%)

simplify81.0ms (4.6%)

prune118.0ms (6.6%)

regimes60.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample460.0ms (25.8%)

Profiling