Details

analyze17.0ms (1.3%)

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
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample11.0ms (0.9%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify107.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	114	7
1	114	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 10 computations (0% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (/.f64 y 200))

rewrite9.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_5897` `cancel-sign-sub-inv_binary64_5841`
10×	`times-frac_binary64_5881` `*-un-lft-identity_binary64_5875`
8×	`add-cube-cbrt_binary64_5910`
3×	`add-log-exp_binary64_5914`
2×	`difference-of-squares_binary64_5844`
1×	`distribute-lft-out--_binary64_5827` `add-exp-log_binary64_5913` `div-inv_binary64_5872` `diff-log_binary64_5967` `sub-neg_binary64_5868` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936` `flip3--_binary64_5879` `flip--_binary64_5850`

Counts

1 → 27

Calls

1 calls:

7.0ms

(-.f64 x (/.f64 y 200))

series58.0ms (4.7%)

Counts

1 → 12

Calls

1 calls:

58.0ms

(-.f64 x (/.f64 y 200))

Compiler

Compiled 72 to 78 computations (-8.3% saved)

simplify49.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4916	304
1	4916	304

prune24.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Error

Counts

40 → 2

Compiler

Compiled 280 to 182 computations (35% saved)

localize9.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 y (/.f64 y 40000))
3.6b	(-.f64 (.f64 x x) (.f64 y (/.f64 y 40000)))
29.2b	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 40000))) (+.f64 x (/.f64 y 200)))

rewrite28.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_5875`
25×	`add-sqr-sqrt_binary64_5897`
22×	`times-frac_binary64_5881`
20×	`add-cube-cbrt_binary64_5910`
13×	`associate-r_binary64_5815`
10×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
5×	`pow1_binary64_5936` `add-log-exp_binary64_5914`
4×	`distribute-lft-out_binary64_5826` `associate-/r*_binary64_5819`
3×	`associate-l_binary64_5816` `associate-/l*_binary64_5820`
2×	`cbrt-undiv_binary64_5909` `associate-/r/_binary64_5821` `div-inv_binary64_5872` `cbrt-unprod_binary64_5908` `associate-/l/_binary64_5822` `div-exp_binary64_5926` `unswap-sqr_binary64_5843` `prod-exp_binary64_5924` `flip3--_binary64_5879` `flip--_binary64_5850`
1×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `div-sub_binary64_5880` `pow-prod-down_binary64_5946` `diff-log_binary64_5967` `sub-neg_binary64_5868` `cancel-sign-sub-inv_binary64_5841` `frac-2neg_binary64_5886` `associate-r/_binary64_5817` `-commutative_binary64_5806` `clear-num_binary64_5874`

Counts

3 → 80

Calls

3 calls:

11.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 40000))) (+.f64 x (/.f64 y 200)))
7.0ms	(*.f64 y (/.f64 y 40000))
4.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 40000)))

series290.0ms (23.4%)

Counts

3 → 27

Calls

3 calls:

160.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 40000))) (+.f64 x (/.f64 y 200)))
107.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 40000)))
23.0ms	(*.f64 y (/.f64 y 40000))

Compiler

Compiled 402 to 360 computations (10.4% saved)

simplify97.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4872	1839
1	4872	1839

prune93.0ms (7.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	2	109

Error

Counts

109 → 2

Compiler

Compiled 2068 to 1207 computations (41.6% saved)

regimes46.0ms (3.7%)

Accuracy

Total 0.0b remaining (30.6%)

Threshold costs 0.0b (30.6%)

Compiler

Compiled 160 to 150 computations (6.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	23	7

end0.0ms (0%)

sample396.0ms (31.9%)

Algorithm

1×

intervals

Results

173.0ms

8000×

body

128

valid

Compiler

Compiled 46 to 44 computations (4.3% saved)

Details

analyze17.0ms (1.3%)

sample11.0ms (0.9%)

simplify107.0ms (8.6%)

prune2.0ms (0.1%)

localize3.0ms (0.3%)

rewrite9.0ms (0.7%)

series58.0ms (4.7%)

simplify49.0ms (3.9%)

prune24.0ms (1.9%)

localize9.0ms (0.7%)

rewrite28.0ms (2.3%)

series290.0ms (23.4%)

simplify97.0ms (7.8%)

prune93.0ms (7.5%)

regimes46.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample396.0ms (31.9%)

Profiling