Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

sample35.0ms

Algorithm

intervals

Results

15.0ms	96×	body	1280	valid
9.0ms	88×	body	640	valid
3.0ms	52×	body	320	valid
3.0ms	256×	pre	80	true
1.0ms	15×	body	160	valid
0.0ms	5×	body	80	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

prune1.0ms

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: 59.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.6b	(-.f64 (exp.f64 x) 1)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
2×	`difference-of-squares_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 15

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) 1)

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(-.f64 (exp.f64 x) 1)

simplify96.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4960	196
1	4960	196

prune20.0ms

Filtered

12 candidates to 18 candidates (-50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	4	19

Merged error: 0.1b

Counts

19 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
9×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
4×	`associate-*r/_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`

Counts

3 → 62

Calls

3 calls:

6.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series69.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
40.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
11.0ms	(*.f64 x 1/6)

simplify73.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5184	906

prune52.0ms

Filtered

50 candidates to 71 candidates (-42.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	71	4	75

Merged error: 0.1b

Counts

75 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/6) 1/2)))
0.3b	(*.f64 x 1/6)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
9×	`associate-l_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`associate-*r/_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
3×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `unswap-sqr_binary64` `flip-+_binary64`

Counts

3 → 64

Calls

3 calls:

7.0ms	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
9.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/6) 1/2)))
4.0ms	(*.f64 x 1/6)

series90.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
41.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/6) 1/2)))
11.0ms	(*.f64 x 1/6)

simplify88.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5022	823

prune40.0ms

Filtered

43 candidates to 73 candidates (-69.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	73	4	77

Merged error: 0.1b

Counts

77 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(pow.f64 (exp.f64 x) 3)
0.3b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
5.6b	(-.f64 (pow.f64 (exp.f64 x) 3) 1)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-sqr-sqrt_binary64`
61×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
40×	`difference-of-squares_binary64`
29×	`add-cube-cbrt_binary64`
20×	`difference-of-sqr-1_binary64`
18×	`unpow-prod-down_binary64` `cube-prod_binary64`
16×	`sqr-pow_binary64` `associate-/l*_binary64`
8×	`add-log-exp_binary64`
7×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
5×	`pow1_binary64` `distribute-lft-out--_binary64`
4×	`pow-pow_binary64`
3×	`pow-unpow_binary64` `associate-/r*_binary64` `exp-prod_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `pow-exp_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

4 → 146

Calls

4 calls:

4.0ms	(+.f64 (exp.f64 x) 1)
3.0ms	(pow.f64 (exp.f64 x) 3)
12.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
8.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)

series159.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 (exp.f64 x) 1)
22.0ms	(pow.f64 (exp.f64 x) 3)
100.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
31.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)

simplify103.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5109	4438

prune103.0ms

Filtered

80 candidates to 158 candidates (-97.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	158	4	162

Merged error: 0.1b

Counts

162 → 4

regimes34.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

529.0ms	3448×	body	1280	valid
235.0ms	2449×	body	640	valid
84.0ms	8001×	pre	80	true
81.0ms	1277×	body	320	valid
24.0ms	632×	body	160	valid
4.0ms	194×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample35.0ms

simplify12.0ms

prune1.0ms

localize3.0ms

rewrite5.0ms

series8.0ms

simplify96.0ms

prune20.0ms

localize6.0ms

rewrite17.0ms

series69.0ms

simplify73.0ms

prune52.0ms

localize7.0ms

rewrite21.0ms

series90.0ms

simplify88.0ms

prune40.0ms

localize9.0ms

rewrite33.0ms

series159.0ms

simplify103.0ms

prune103.0ms

regimes34.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.1s

Profiling