Details

analyze944.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	9
37.4%	62.4%	0.1%	10
43.7%	56.2%	0.1%	11
43.7%	56.2%	0.1%	12
43.7%	56.2%	0.1%	13
61.7%	38.2%	0.1%	14

sample30.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5321	37

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 20.9b

Counts

2 → 2

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894))
0.1b	(* x (+ (* x 4.16438922228) 78.6994924154))
0.1b	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
20.3b	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*r/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 97

Calls

4 calls:

12.0ms	(* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894))
6.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
13.0ms	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
26.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

series60.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894))
6.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
9.0ms	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
40.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

simplify64.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5021	2487

prune269.0ms

Filtered

80 candidates to 109 candidates (-36.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	101	8	109
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	103	8	111

Merged error: 0.0b

Counts

111 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
0.1b	(* x (+ (* x 4.16438922228) 78.6994924154))
0.1b	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
20.4b	(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
6×	`flip3-+` `prod-exp` `flip-+`
5×	`associate-*r/` `unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `rec-exp` `distribute-lft-in` `1-exp` `associate-*l/` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 119

Calls

4 calls:

16.0ms	(/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
7.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
13.0ms	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
31.0ms	(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
6.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
9.0ms	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
38.0ms	(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

simplify62.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5612	3091

prune273.0ms

Filtered

86 candidates to 131 candidates (-52.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	131	8	139

Merged error: 0.0b

Counts

139 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

5.6b	(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
5.6b	(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
14.3b	(* (/ 1 (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))) (/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))))
17.4b	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
76×	`times-frac`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt` `sqrt-prod`
28×	`add-exp-log`
24×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
10×	`sqrt-div`
9×	`div-exp`
8×	`pow1` `prod-exp`
6×	`flip3-+` `associate-/r*` `associate-/r/` `flip-+`
5×	`cbrt-undiv`
4×	`cbrt-unprod` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `associate-/l/`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 160

Calls

4 calls:

12.0ms	(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
12.0ms	(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
54.0ms	(* (/ 1 (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))) (/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))))
27.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
7.0ms	(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
38.0ms	(* (/ 1 (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))) (/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))))
55.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

simplify100.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4960	7444
1	4960	7444

prune556.0ms

Filtered

109 candidates to 172 candidates (-57.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	172	8	180

Merged error: 0.0b

Counts

180 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ (* x 4.16438922228) 78.6994924154))
0.1b	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
0.1b	(* x (* x (+ (* x (+ x 43.3400022514)) 263.505074721)))
20.2b	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (* x (+ (* x (+ x 43.3400022514)) 263.505074721))) 47.066876606))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
9×	`times-frac` `associate-l`
8×	`associate-*r/`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
4×	`add-log-exp`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`associate-/r/` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 99

Calls

4 calls:

6.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
13.0ms	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
10.0ms	(* x (* x (+ (* x (+ x 43.3400022514)) 263.505074721)))
27.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (* x (+ (* x (+ x 43.3400022514)) 263.505074721))) 47.066876606))

series55.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
9.0ms	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
4.0ms	(* x (* x (+ (* x (+ x 43.3400022514)) 263.505074721)))
33.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (* x (+ (* x (+ x 43.3400022514)) 263.505074721))) 47.066876606))

simplify51.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5002	2347

prune184.0ms

Filtered

75 candidates to 111 candidates (-48.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	111	8	119

Merged error: 0.0b

Counts

119 → 8

regimes318.0ms

Accuracy

96.4% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 24.7b

bsearch49.0ms

Steps

Iters	Range		Point
9	1.4874065269776906e+17	1.2558506235376758e+24	1.2286890830635267e+24
9	-4.459147759173841e+67	-5.911377206098578e+60	-4.4054322492852364e+61

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	92	63
1	92	63

end0.0ms

sample823.0ms

Algorithm

intervals

Results

653.0ms	8000×	body	80	valid
1.0ms	7×	body	80	invalid

Details

analyze944.0ms

sample30.0ms

simplify35.0ms

prune11.0ms

localize26.0ms

rewrite60.0ms

series60.0ms

simplify64.0ms

prune269.0ms

localize24.0ms

rewrite70.0ms

series59.0ms

simplify62.0ms

prune273.0ms

localize28.0ms

rewrite112.0ms

series106.0ms

simplify100.0ms

prune556.0ms

localize21.0ms

rewrite59.0ms

series55.0ms

simplify51.0ms

prune184.0ms

regimes318.0ms

bsearch49.0ms

simplify2.0ms

end0.0ms

sample823.0ms

Profiling