Details

analyze17.0ms (1.7%)

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)

sample10.0ms (1.1%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify98.0ms (9.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

prune2.0ms (0.2%)

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)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 y 500))

rewrite7.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_8301` `*-un-lft-identity_binary64_8262`
1×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `pow1_binary64_8323` `+-commutative_binary64_8192` `distribute-lft-out_binary64_8213` `add-sqr-sqrt_binary64_8284` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `sum-log_binary64_8353` `add-cube-cbrt_binary64_8297`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 y 500))

series24.0ms (2.4%)

Counts

1 → 3

Calls

1 calls:

23.0ms

(+.f64 x (/.f64 y 500))

simplify65.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5533	164

prune11.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Error

Counts

16 → 2

Compiler

Compiled 156 to 108 computations (30.8% saved)

localize9.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y 500))
0.1b	(*.f64 y (/.f64 y 250000))
4.5b	(-.f64 (.f64 x x) (.f64 y (/.f64 y 250000)))
27.1b	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 250000))) (-.f64 x (/.f64 y 500)))

rewrite39.0ms (4%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`add-sqr-sqrt_binary64_8284`
42×	`times-frac_binary64_8268`
40×	`*-un-lft-identity_binary64_8262`
30×	`add-cube-cbrt_binary64_8297`
14×	`cancel-sign-sub-inv_binary64_8228`
13×	`associate-r_binary64_8202`
11×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
10×	`difference-of-squares_binary64_8231`
8×	`add-log-exp_binary64_8301`
6×	`pow1_binary64_8323` `associate-/r*_binary64_8206`
5×	`distribute-lft-out--_binary64_8214`
4×	`flip3--_binary64_8266` `flip--_binary64_8237`
3×	`associate-/l_binary64_8207` `div-inv_binary64_8259` `associate-l*_binary64_8203`
2×	`prod-exp_binary64_8311` `diff-log_binary64_8354` `associate-/l/_binary64_8209` `unswap-sqr_binary64_8230` `sub-neg_binary64_8255` `cbrt-unprod_binary64_8295` `cbrt-undiv_binary64_8296` `div-exp_binary64_8313` `associate-/r/_binary64_8208`
1×	`associate-r/_binary64_8204` `frac-2neg_binary64_8273` `div-sub_binary64_8267` `pow-prod-down_binary64_8333` `-commutative_binary64_8193` `clear-num_binary64_8261`

Counts

4 → 115

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 250000))) (-.f64 x (/.f64 y 500)))
7.0ms	(-.f64 x (/.f64 y 500))
7.0ms	(*.f64 y (/.f64 y 250000))
4.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 250000)))

series124.0ms (12.5%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 250000))) (-.f64 x (/.f64 y 500)))
31.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 250000)))
18.0ms	(*.f64 y (/.f64 y 250000))
18.0ms	(-.f64 x (/.f64 y 500))

simplify71.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4913	2497
1	4913	2497

prune120.0ms (12.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Error

Counts

129 → 2

Compiler

Compiled 2812 to 1629 computations (42.1% saved)

regimes32.0ms (3.2%)

Accuracy

Total 0.0b remaining (35.7%)

Threshold costs 0.0b (35.7%)

Compiler

Compiled 100 to 90 computations (10% 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

end0.0ms (0%)

sample354.0ms (35.8%)

Algorithm

1×

intervals

Results

163.0ms

8000×

body

128

valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

Details

analyze17.0ms (1.7%)

sample10.0ms (1.1%)

simplify98.0ms (9.9%)

prune2.0ms (0.2%)

localize3.0ms (0.3%)

rewrite7.0ms (0.7%)

series24.0ms (2.4%)

simplify65.0ms (6.6%)

prune11.0ms (1.1%)

localize9.0ms (0.9%)

rewrite39.0ms (4%)

series124.0ms (12.5%)

simplify71.0ms (7.2%)

prune120.0ms (12.2%)

regimes32.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample354.0ms (35.8%)

Profiling