Details

analyze268.0ms (15.8%)

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
12.5%	87.4%	0.1%	7
12.5%	71.8%	15.7%	8
25%	56.2%	18.9%	9
31.2%	43.7%	25.1%	10
39%	34.7%	26.3%	11
44.9%	27.9%	27.3%	12
47.8%	22%	30.2%	13
52.6%	16.8%	30.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify17.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	201	13
1	201	13

prune3.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (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:

4.0ms

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

series73.0ms (4.3%)

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify64.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4938	260
1	4938	260

prune13.0ms (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: 0b

Counts

15 → 2

Compiler

Compiled 231 to 133 computations (42.4% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
0.1b	(.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
3.0b	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
3.0b	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

rewrite44.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

20.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
5.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
4.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

series394.0ms (23.2%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
123.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
78.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
70.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

simplify62.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5218	2208

prune121.0ms (7.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Merged error: 0b

Counts

112 → 2

Compiler

Compiled 2642 to 1490 computations (43.6% saved)

regimes66.0ms (3.9%)

Compiler: Compiled 256 to 225 computations (12.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample530.0ms (31.3%)

Algorithm

1×

intervals

Results

241.0ms	8000×	body	128	valid
14.0ms	489×	body	128	invalid

Compiler

Compiled 49 to 43 computations (12.2% saved)

Details

analyze268.0ms (15.8%)

sample16.0ms (1%)

simplify17.0ms (1%)

prune3.0ms (0.2%)

localize9.0ms (0.6%)

rewrite5.0ms (0.3%)

series73.0ms (4.3%)

simplify64.0ms (3.8%)

prune13.0ms (0.7%)

localize9.0ms (0.5%)

rewrite44.0ms (2.6%)

series394.0ms (23.2%)

simplify62.0ms (3.6%)

prune121.0ms (7.1%)

regimes66.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample530.0ms (31.3%)

Profiling