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)

sample14.0ms (1.4%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify96.0ms (9.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	105	7
1	105	7

prune3.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (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

1 calls:

10.0ms

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

series26.0ms (2.6%)

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify69.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5004	288

prune25.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

Counts

36 → 2

Compiler

Compiled 313 to 181 computations (42.2% saved)

localize10.0ms (1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (pow.f64 x 4) x)
0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))
11.5b	(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1))))

rewrite38.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_9989`
26×	`*-un-lft-identity_binary64_9967`
21×	`times-frac_binary64_9973`
16×	`add-cube-cbrt_binary64_10002`
15×	`difference-of-squares_binary64_9936`
10×	`add-log-exp_binary64_10006`
7×	`associate-/l*_binary64_9912`
5×	`add-cbrt-cube_binary64_10003` `unpow-prod-down_binary64_10046` `add-exp-log_binary64_10005` `sqr-pow_binary64_9939` `distribute-lft-out--_binary64_9919`
3×	`sum-log_binary64_10058` `associate-/r*_binary64_9911` `pow1_binary64_10028` `cancel-sign-sub-inv_binary64_9933`
2×	`flip--_binary64_9942` `flip3-+_binary64_9970` `flip3--_binary64_9971` `associate-/l/_binary64_9914` `flip-+_binary64_9941` `associate-/r/_binary64_9913`
1×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `sub-neg_binary64_9960` `associate-+r+_binary64_9899` `diff-log_binary64_10059` `div-sub_binary64_9972` `+-commutative_binary64_9897` `div-inv_binary64_9964` `frac-2neg_binary64_9978` `clear-num_binary64_9966`

Counts

3 → 79

Calls

3 calls:

16.0ms	(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1))))
9.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))
6.0ms	(-.f64 (pow.f64 x 4) x)

series130.0ms (12.9%)

Counts

3 → 9

Calls

3 calls:

76.0ms	(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1))))
43.0ms	(-.f64 (pow.f64 x 4) x)
10.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))

simplify75.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5595	1998

prune90.0ms (9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	88	2	90

Error

Counts

90 → 2

Compiler

Compiled 2006 to 1171 computations (41.6% saved)

regimes39.0ms (3.9%)

Accuracy

Total 0.0b remaining (98.9%)

Threshold costs 0.0b (98.9%)

Compiler

Compiled 190 to 144 computations (24.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms (0%)

sample370.0ms (36.9%)

Algorithm

1×

intervals

Results

137.0ms

8000×

body

128

valid

Compiler

Compiled 91 to 68 computations (25.3% saved)

Details

analyze3.0ms (0.3%)

sample14.0ms (1.4%)

simplify96.0ms (9.5%)

prune3.0ms (0.3%)

localize3.0ms (0.3%)

rewrite11.0ms (1.1%)

series26.0ms (2.6%)

simplify69.0ms (6.9%)

prune25.0ms (2.4%)

localize10.0ms (1%)

rewrite38.0ms (3.8%)

series130.0ms (12.9%)

simplify75.0ms (7.4%)

prune90.0ms (9%)

regimes39.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample370.0ms (36.9%)

Profiling