Details

analyze78.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	23×	body	80	overflowed

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

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: 1.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
1.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`distribute-lft-out_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`add-exp-log_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 45

Calls

2 calls:

9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
14.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series26.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
20.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify62.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4961	546
1	4961	546

prune27.0ms

Filtered

36 candidates to 51 candidates (-41.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0.5b

Counts

52 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
1.0b	(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
1.2b	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac_binary64`
304×	`*-un-lft-identity_binary64`
224×	`sqrt-prod_binary64`
188×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
58×	`distribute-lft-out_binary64`
30×	`associate-/l*_binary64`
20×	`associate-/r/_binary64` `sqrt-div_binary64`
14×	`associate-/r*_binary64`
12×	`flip3-+_binary64` `flip-+_binary64`
11×	`add-cbrt-cube_binary64`
10×	`div-inv_binary64`
9×	`add-exp-log_binary64`
8×	`add-log-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`
1×	`associate-/l/_binary64`

Counts

4 → 309

Calls

4 calls:

5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
21.0ms	(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
9.0ms	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

series45.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
12.0ms	(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
22.0ms	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

simplify102.0ms

Algorithm

egg-herbie

Counts

321 → 321

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5146	6845

prune68.0ms

Filtered

136 candidates to 321 candidates (-136.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	321	0	321
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	321	4	325

Merged error: 0.5b

Counts

325 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.1b	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
0.3b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
1.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
47×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
42×	`cbrt-prod_binary64`
36×	`unpow-prod-down_binary64` `cube-prod_binary64`
17×	`distribute-lft-out_binary64`
10×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
5×	`pow1_binary64` `div-inv_binary64`
4×	`associate-/r*_binary64`
3×	`pow-unpow_binary64` `associate-/l*_binary64`
2×	`cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 153

Calls

4 calls:

5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
9.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
9.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
22.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
16.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
12.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify39.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5308	2178

prune50.0ms

Filtered

81 candidates to 165 candidates (-103.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	164	5	169

Merged error: 0.4b

Counts

169 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
12×	`distribute-lft-out_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`associate-/r*_binary64`
3×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
2×	`add-exp-log_binary64` `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 → 37

Calls

1 calls:

8.0ms

(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

simplify49.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5166	460

prune17.0ms

Filtered

25 candidates to 40 candidates (-60.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	40	5	45

Merged error: 0.4b

Counts

45 → 5

regimes124.0ms

Accuracy

0% (0.5b remaining)

Error of 0.9b against oracle of 0.4b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	16
1	9	16

end0.0ms

sample390.0ms

Algorithm

intervals

Results

224.0ms	8000×	body	80	valid
19.0ms	678×	body	80	overflowed

Details

analyze78.0ms

sample14.0ms

simplify8.0ms

prune2.0ms

localize5.0ms

rewrite26.0ms

series26.0ms

simplify62.0ms

prune27.0ms

localize7.0ms

rewrite60.0ms

series45.0ms

simplify102.0ms

prune68.0ms

localize8.0ms

rewrite37.0ms

series56.0ms

simplify39.0ms

prune50.0ms

localize5.0ms

rewrite10.0ms

series14.0ms

simplify49.0ms

prune17.0ms

regimes124.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample390.0ms

Profiling