Details

analyze98.0ms (8.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Symmetry

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample10.0ms (0.8%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify7.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (*.f64 x x) 1)

rewrite12.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_2504`
1×	`sum-log_binary64_2556` `pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `flip3-+_binary64_2468` `*-un-lft-identity_binary64_2465` `flip-+_binary64_2439` `+-commutative_binary64_2395`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x x) 1)

Compiler

Compiled 136 to 74 computations (45.6% saved)

series36.0ms (3%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

32.0ms

(+.f64 (*.f64 x x) 1)

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify80.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4939	148
1	4939	148

prune15.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Error

Counts

18 → 2

Compiler

Compiled 142 to 80 computations (43.7% saved)

localize5.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (*.f64 x x))
0.0b	(sqrt.f64 (+.f64 1 (*.f64 x x)))
0.0b	(sqrt.f64 (+.f64 1 (*.f64 x x)))
0.0b	(.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (sqrt.f64 (+.f64 1 (*.f64 x x))))

rewrite137.0ms (11.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_2487`
24×	`sqrt-prod_binary64_2481`
21×	`pow1_binary64_2526`
16×	`sqrt-div_binary64_2482`
14×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
10×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
8×	`swap-sqr_binary64_2432`
6×	`add-exp-log_binary64_2503` `add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `associate-l_binary64_2406` `associate-r_binary64_2405`
5×	`pow-prod-up_binary64_2535`
4×	`rem-sqrt-square_binary64_2478` `frac-times_binary64_2475` `unswap-sqr_binary64_2433`
3×	`pow-prod-down_binary64_2536` `pow-sqr_binary64_2438`
2×	`associate-l/_binary64_2408` `associate-r/_binary64_2407`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `sqrt-unprod_binary64_2485` `sqr-abs_binary64_2480` `rem-square-sqrt_binary64_2477` `*-commutative_binary64_2396` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 99

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
3.0ms	(+.f64 1 (*.f64 x x))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 x x)))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 x x)))

Compiler

Compiled 2235 to 1311 computations (41.3% saved)

series177.0ms (14.5%)

Error

Counts

4 → 32

Calls

4 calls:

45.0ms	(sqrt.f64 (+.f64 1 (*.f64 x x)))
44.0ms	(sqrt.f64 (+.f64 1 (*.f64 x x)))
33.0ms	(.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
31.0ms	(+.f64 1 (*.f64 x x))

Compiler

Compiled 994 to 780 computations (21.5% saved)

simplify92.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4907	1446
1	4907	1446

prune107.0ms (8.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	131	2	133

Error

Counts

133 → 2

Compiler

Compiled 1884 to 1135 computations (39.8% saved)

regimes31.0ms (2.6%)

Accuracy

Total 0.0b remaining (57.1%)

Threshold costs 0.0b (57.1%)

Compiler

Compiled 141 to 116 computations (17.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

Removed

()

end0.0ms (0%)

sample402.0ms (33%)

Algorithm

1×

intervals

Results

123.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 52 to 44 computations (15.4% saved)

Details

analyze98.0ms (8.1%)

sample10.0ms (0.8%)

simplify7.0ms (0.6%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite12.0ms (1%)

series36.0ms (3%)

simplify80.0ms (6.5%)

prune15.0ms (1.2%)

localize5.0ms (0.4%)

rewrite137.0ms (11.3%)

series177.0ms (14.5%)

simplify92.0ms (7.6%)

prune107.0ms (8.8%)

regimes31.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample402.0ms (33%)

Profiling