Details

analyze3.0ms (0.3%)

Algorithm

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample9.0ms (0.9%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify100.0ms (11%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	105	7
1	105	7

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite10.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_9989`
8×	`*-un-lft-identity_binary64_9967`
7×	`associate-r_binary64_9907`
6×	`cancel-sign-sub-inv_binary64_9933`
5×	`add-cube-cbrt_binary64_10002`
4×	`distribute-lft-in_binary64_9916` `distribute-rgt-in_binary64_9917`
3×	`add-cbrt-cube_binary64_10003` `associate-l_binary64_9908` `add-exp-log_binary64_10005` `pow1_binary64_10028`
2×	`sub-neg_binary64_9960` `difference-of-squares_binary64_9936` `associate-*r/_binary64_9909`
1×	`flip--_binary64_9942` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `flip3--_binary64_9971` `pow-prod-down_binary64_10038` `add-log-exp_binary64_10006` `difference-of-sqr-1_binary64_9937` `unswap-sqr_binary64_9935` `distribute-lft-out--_binary64_9919` `*-commutative_binary64_9898`

Counts

1 → 32

Calls

2 calls:

8.0ms	(*.f64 x (-.f64 x 1))
0.0ms	(*.f64 x (-.f64 x 1))

series34.0ms (3.7%)

Counts

1 → 6

Calls

1 calls:

34.0ms

(*.f64 x (-.f64 x 1))

Compiler

Compiled 39 to 33 computations (15.4% saved)

simplify69.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5004	299

prune25.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	2	39

Error

Counts

39 → 2

Compiler

Compiled 310 to 172 computations (44.5% saved)

localize4.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite6.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-log-exp_binary64_10006`
2×	`distribute-rgt-out_binary64_9920` `*-un-lft-identity_binary64_9967` `sum-log_binary64_10058`
1×	`add-sqr-sqrt_binary64_9989` `add-cbrt-cube_binary64_10003` `flip3-+_binary64_9970` `unsub-neg_binary64_9961` `flip-+_binary64_9941` `associate-+r-_binary64_9901` `add-cube-cbrt_binary64_10002` `add-exp-log_binary64_10005` `neg-sub0_binary64_9962` `+-commutative_binary64_9897` `neg-log_binary64_10060` `distribute-lft-neg-in_binary64_9924` `pow1_binary64_10028` `neg-mul-1_binary64_9963`

Counts

1 → 16

Calls

2 calls:

5.0ms	(+.f64 (*.f64 x x) (neg.f64 x))
0.0ms	(+.f64 (*.f64 x x) (neg.f64 x))

series36.0ms (4%)

Counts

1 → 6

Calls

1 calls:

36.0ms

(+.f64 (*.f64 x x) (neg.f64 x))

Compiler

Compiled 39 to 33 computations (15.4% saved)

simplify98.0ms (10.7%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4881	180
1	4881	180

prune13.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 166 to 56 computations (66.3% saved)

simplify5.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	40
1	23	40

regimes26.0ms (2.9%)

Compiler: Compiled 64 to 58 computations (9.4% saved)

bsearch0.0ms (0%)

regimes13.0ms (1.4%)

Compiler: Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

regimes22.0ms (2.4%)

Compiler: Compiled 10 to 12 computations (-20% saved)

bsearch17.0ms (1.9%)

Steps

Iters	Range		Point
5	0.694616828524831	2.717440551790354	0.9869624985097121
8	-34.482342047437854	-0.12208613939130855	-1.0158189080602509

Compiler

Compiled 1 to 1 computations (0% saved)

regimes9.0ms (1%)

Compiler: Compiled 7 to 10 computations (-42.9% saved)

bsearch0.0ms (0%)

regimes8.0ms (0.9%)

Accuracy

Total 0.0b remaining (93.5%)

Threshold costs 0.0b (93.5%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch3.0ms (0.3%)

Compiler: Compiled 29 to 20 computations (31% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	39
1	30	39

end0.0ms (0%)

sample396.0ms (43.3%)

Algorithm

1×

intervals

Results

127.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 64 to 54 computations (15.6% saved)

Pareto

0.6454186637563792

Details

analyze3.0ms (0.3%)

sample9.0ms (0.9%)

simplify100.0ms (11%)

prune2.0ms (0.2%)

localize3.0ms (0.4%)

rewrite10.0ms (1.1%)

series34.0ms (3.7%)

simplify69.0ms (7.6%)

prune25.0ms (2.8%)

localize4.0ms (0.4%)

rewrite6.0ms (0.7%)

series36.0ms (4%)

simplify98.0ms (10.7%)

prune13.0ms (1.4%)

simplify5.0ms (0.5%)

regimes26.0ms (2.9%)

bsearch0.0ms (0%)

regimes13.0ms (1.4%)

bsearch0.0ms (0%)

regimes22.0ms (2.4%)

bsearch17.0ms (1.9%)

regimes9.0ms (1%)

bsearch0.0ms (0%)

regimes8.0ms (0.9%)

bsearch3.0ms (0.3%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample396.0ms (43.3%)

Profiling