Details

analyze230.0ms (15.9%)

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)

sample13.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify24.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	210	10
1	210	10

prune4.0ms (0.3%)

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))

rewrite4.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

3.0ms

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

series9.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify103.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5275	209

prune12.0ms (0.8%)

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: 0b

Counts

15 → 2

Compiler

Compiled 191 to 125 computations (34.6% saved)

localize14.0ms (1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 z (.f64 z (*.f64 y 16)))
2.5b	(-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 z (*.f64 y 16)))))
3.7b	(.f64 y (.f64 z (.f64 z (.f64 y 16))))
28.5b	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 z (.f64 y 16))))) (+.f64 x (.f64 (*.f64 y 4) z)))

rewrite34.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
27×	`pow1_binary64`
16×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-r_binary64` `associate-/r/_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

4 → 88

Calls

4 calls:

10.0ms	(.f64 y (.f64 z (.f64 z (.f64 y 16))))
8.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 z (.f64 y 16))))) (+.f64 x (.f64 (*.f64 y 4) z)))
7.0ms	(.f64 z (.f64 z (*.f64 y 16)))
5.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 z (*.f64 y 16)))))

series62.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 z (*.f64 y 16)))))
24.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 z (.f64 y 16))))) (+.f64 x (.f64 (*.f64 y 4) z)))
8.0ms	(.f64 y (.f64 z (.f64 z (.f64 y 16))))
5.0ms	(.f64 z (.f64 z (*.f64 y 16)))

simplify101.0ms (7%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5157	2406

prune72.0ms (5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	100	2	102

Merged error: 0b

Counts

102 → 2

Compiler

Compiled 2785 to 1567 computations (43.7% saved)

regimes167.0ms (11.6%)

Compiler: Compiled 204 to 186 computations (8.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

end0.0ms (0%)

sample585.0ms (40.5%)

Algorithm

1×

intervals

Results

187.0ms	8000×	body	80	valid
6.0ms	276×	body	80	invalid

Compiler

Compiled 43 to 40 computations (7% saved)

Details

analyze230.0ms (15.9%)

sample13.0ms (0.9%)

simplify24.0ms (1.7%)

prune4.0ms (0.3%)

localize5.0ms (0.3%)

rewrite4.0ms (0.3%)

series9.0ms (0.6%)

simplify103.0ms (7.1%)

prune12.0ms (0.8%)

localize14.0ms (1%)

rewrite34.0ms (2.3%)

series62.0ms (4.3%)

simplify101.0ms (7%)

prune72.0ms (5%)

regimes167.0ms (11.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

end0.0ms (0%)

sample585.0ms (40.5%)

Profiling