Details

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune2.0ms

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

Merged error: 14.5b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

14.5b

(/.f64 x (+.f64 (*.f64 x x) 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/.f64 x (+.f64 (*.f64 x x) 1.0))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(/.f64 x (+.f64 (*.f64 x x) 1.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5303	373

prune50.0ms

Filtered

26 candidates to 32 candidates (-23.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	3	33

Merged error: 0b

Counts

33 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.4b	(/.f64 1 (+.f64 (*.f64 x x) 1.0))
14.2b	(.f64 x (/.f64 1 (+.f64 (.f64 x x) 1.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
15×	`associate-r_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
5×	`pow1_binary64`
4×	`associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `unswap-sqr_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

2 → 71

Calls

2 calls:

6.0ms	(/.f64 1 (+.f64 (*.f64 x x) 1.0))
11.0ms	(.f64 x (/.f64 1 (+.f64 (.f64 x x) 1.0)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/.f64 1 (+.f64 (*.f64 x x) 1.0))
6.0ms	(.f64 x (/.f64 1 (+.f64 (.f64 x x) 1.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5253	761

prune59.0ms

Filtered

48 candidates to 77 candidates (-60.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	77	3	80

Merged error: 0b

Counts

80 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

3.6b	(/.f64 x (-.f64 (pow.f64 x 4) (*.f64 1.0 1.0)))
19.1b	(.f64 (/.f64 x (-.f64 (pow.f64 x 4) (.f64 1.0 1.0))) (-.f64 (*.f64 x x) 1.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
37×	`times-frac_binary64`
24×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
22×	`difference-of-squares_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`sqr-pow_binary64` `unpow-prod-down_binary64`
6×	`associate-/r*_binary64`
4×	`pow1_binary64` `flip3--_binary64` `associate-r_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 91

Calls

2 calls:

7.0ms	(/.f64 x (-.f64 (pow.f64 x 4) (*.f64 1.0 1.0)))
15.0ms	(.f64 (/.f64 x (-.f64 (pow.f64 x 4) (.f64 1.0 1.0))) (-.f64 (*.f64 x x) 1.0))

series24.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/.f64 x (-.f64 (pow.f64 x 4) (*.f64 1.0 1.0)))
10.0ms	(.f64 (/.f64 x (-.f64 (pow.f64 x 4) (.f64 1.0 1.0))) (-.f64 (*.f64 x x) 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4977	1291
1	4977	1291

prune105.0ms

Filtered

80 candidates to 97 candidates (-21.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	3	100

Merged error: 0b

Counts

100 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(/.f64 1.0 (pow.f64 x 3))
0.3b	(/.f64 1.0 (pow.f64 x 5))
16.3b	(-.f64 (+.f64 (/.f64 1.0 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1.0 (pow.f64 x 3)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac_binary64`
57×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
44×	`add-cube-cbrt_binary64`
25×	`unpow-prod-down_binary64`
19×	`associate-/r*_binary64`
13×	`add-exp-log_binary64` `cube-prod_binary64`
9×	`sqr-pow_binary64`
8×	`add-log-exp_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-exp_binary64`
5×	`difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64` `unpow3_binary64` `cube-mult_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `div-inv_binary64` `frac-sub_binary64`
2×	`pow-to-exp_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `frac-add_binary64` `flip--_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

3 → 135

Calls

3 calls:

5.0ms	(/.f64 1.0 (pow.f64 x 3))
5.0ms	(/.f64 1.0 (pow.f64 x 5))
36.0ms	(-.f64 (+.f64 (/.f64 1.0 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1.0 (pow.f64 x 3)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 1.0 (pow.f64 x 3))
7.0ms	(/.f64 1.0 (pow.f64 x 5))
6.0ms	(-.f64 (+.f64 (/.f64 1.0 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1.0 (pow.f64 x 3)))

simplify35.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5135	1683

prune130.0ms

Filtered

89 candidates to 144 candidates (-61.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	144	3	147

Merged error: 0b

Counts

147 → 3

regimes37.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.9b

bsearch21.0ms

Steps

Iters	Range		Point
10	0.0004862905827468845	62261223539.84066	767.2537428637866
9	-1744667652411.9006	-5613911.5917952405	-2796513144.817297

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	33
1	45	33

end0.0ms

sample255.0ms

Algorithm

intervals

Results

169.0ms

8000×

body

valid

Details

analyze6.0ms

sample11.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite7.0ms

series6.0ms

simplify66.0ms

prune50.0ms

localize5.0ms

rewrite19.0ms

series10.0ms

simplify53.0ms

prune59.0ms

localize9.0ms

rewrite25.0ms

series24.0ms

simplify52.0ms

prune105.0ms

localize13.0ms

rewrite51.0ms

series20.0ms

simplify35.0ms

prune130.0ms

regimes37.0ms

bsearch21.0ms

simplify2.0ms

end0.0ms

sample255.0ms

Profiling