Details

analyze32.0ms (2.2%)

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)

sample21.0ms (1.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify124.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

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

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite26.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`cancel-sign-sub-inv_binary64_5500` `add-sqr-sqrt_binary64_5556`
10×	`*-un-lft-identity_binary64_5534` `times-frac_binary64_5540`
8×	`add-cube-cbrt_binary64_5569`
3×	`add-log-exp_binary64_5573`
2×	`difference-of-squares_binary64_5503`
1×	`div-inv_binary64_5531` `diff-log_binary64_5626` `distribute-lft-out--_binary64_5486` `add-cbrt-cube_binary64_5570` `flip--_binary64_5509` `add-exp-log_binary64_5572` `flip3--_binary64_5538` `pow1_binary64_5595` `sub-neg_binary64_5527`

Counts

1 → 27

Calls

1 calls:

16.0ms

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

series40.0ms (2.8%)

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify60.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4916	268
1	4916	268

prune33.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Error

Counts

31 → 2

Compiler

Compiled 253 to 167 computations (34% saved)

localize21.0ms (1.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y 200))
0.1b	(*.f64 y (/.f64 y 40000))
3.6b	(-.f64 (.f64 x x) (.f64 y (/.f64 y 40000)))
28.5b	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 40000))) (+.f64 x (/.f64 y 200)))

rewrite74.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_5534`
26×	`add-sqr-sqrt_binary64_5556`
22×	`times-frac_binary64_5540`
21×	`add-cube-cbrt_binary64_5569`
13×	`associate-r_binary64_5474`
11×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572`
8×	`add-log-exp_binary64_5573`
6×	`pow1_binary64_5595`
5×	`distribute-lft-out_binary64_5485`
4×	`associate-/r*_binary64_5478`
3×	`associate-l_binary64_5475` `associate-/l*_binary64_5479`
2×	`div-inv_binary64_5531` `flip-+_binary64_5508` `cbrt-unprod_binary64_5567` `associate-/l/_binary64_5481` `flip3-+_binary64_5537` `div-exp_binary64_5585` `flip--_binary64_5509` `unswap-sqr_binary64_5502` `associate-/r/_binary64_5480` `flip3--_binary64_5538` `prod-exp_binary64_5583` `cbrt-undiv_binary64_5568`
1×	`associate-r/_binary64_5476` `diff-log_binary64_5626` `cancel-sign-sub-inv_binary64_5500` `+-commutative_binary64_5464` `sum-log_binary64_5625` `-commutative_binary64_5465` `frac-2neg_binary64_5545` `clear-num_binary64_5533` `div-sub_binary64_5539` `sub-neg_binary64_5527` `pow-prod-down_binary64_5605`

Counts

4 → 92

Calls

4 calls:

23.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 40000))) (+.f64 x (/.f64 y 200)))
14.0ms	(*.f64 y (/.f64 y 40000))
12.0ms	(+.f64 x (/.f64 y 200))
8.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 40000)))

series125.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 40000))) (+.f64 x (/.f64 y 200)))
28.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 40000)))
27.0ms	(*.f64 y (/.f64 y 40000))
18.0ms	(+.f64 x (/.f64 y 200))

simplify119.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4916	1895
1	4916	1895

prune152.0ms (10.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	104	2	106

Error

Counts

106 → 2

Compiler

Compiled 2227 to 1304 computations (41.4% saved)

regimes64.0ms (4.4%)

Accuracy

Total 0.0b remaining (30.2%)

Threshold costs 0.0b (30.2%)

Compiler

Compiled 100 to 90 computations (10% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	23	7

end0.0ms (0%)

sample538.0ms (37.3%)

Algorithm

1×

intervals

Results

241.0ms

8000×

body

128

valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

Details

analyze32.0ms (2.2%)

sample21.0ms (1.5%)

simplify124.0ms (8.6%)

prune2.0ms (0.2%)

localize6.0ms (0.4%)

rewrite26.0ms (1.8%)

series40.0ms (2.8%)

simplify60.0ms (4.1%)

prune33.0ms (2.3%)

localize21.0ms (1.5%)

rewrite74.0ms (5.1%)

series125.0ms (8.7%)

simplify119.0ms (8.3%)

prune152.0ms (10.5%)

regimes64.0ms (4.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

end0.0ms (0%)

sample538.0ms (37.3%)

Profiling