Details

analyze998.0ms

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

sample31.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5321	37

prune15.0ms

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: 24.7b

Counts

2 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
0.1b	(* x (+ (* x 4.16438922228) 78.6994924154))
0.1b	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
23.9b	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

rewrite56.0ms

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:

10.0ms	(* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
7.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
10.0ms	(* 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)) 313.399215894)) 47.066876606))

series51.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
6.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
4.0ms	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
38.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

simplify48.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5007	2277

prune256.0ms

Filtered

76 candidates to 109 candidates (-43.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	103	8	111

Merged error: 0.0b

Counts

111 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 3) (* 4.16438922228 4.16438922228))
0.5b	(- (* (pow x 3) (* 4.16438922228 4.16438922228)) (* x (* 78.6994924154 78.6994924154)))
4.1b	(/ (- (* (pow x 3) (* 4.16438922228 4.16438922228)) (* x (* 78.6994924154 78.6994924154))) (- (* x 4.16438922228) 78.6994924154))
23.9b	(/ (+ (* x (+ (* x (+ (/ (- (* (pow x 3) (* 4.16438922228 4.16438922228)) (* x (* 78.6994924154 78.6994924154))) (- (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
18×	`times-frac`
13×	`add-cbrt-cube`
12×	`associate-l`
9×	`prod-exp`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`pow1` `unpow-prod-down` `cube-prod` `associate-/r/` `associate-/l/` `unswap-sqr`
3×	`flip3--` `flip--` `cbrt-unprod`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `div-exp` `pow-exp` `clear-num` `flip-+` `div-inv` `sqr-pow`
1×	`cube-mult` `sub-neg` `diff-log` `unpow3` `div-sub` `associate-r` `*-commutative`

Counts

4 → 107

Calls

4 calls:

12.0ms	(* (pow x 3) (* 4.16438922228 4.16438922228))
7.0ms	(- (* (pow x 3) (* 4.16438922228 4.16438922228)) (* x (* 78.6994924154 78.6994924154)))
13.0ms	(/ (- (* (pow x 3) (* 4.16438922228 4.16438922228)) (* x (* 78.6994924154 78.6994924154))) (- (* x 4.16438922228) 78.6994924154))
34.0ms	(/ (+ (* x (+ (* x (+ (/ (- (* (pow x 3) (* 4.16438922228 4.16438922228)) (* x (* 78.6994924154 78.6994924154))) (- (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

series65.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (pow x 3) (* 4.16438922228 4.16438922228))
9.0ms	(- (* (pow x 3) (* 4.16438922228 4.16438922228)) (* x (* 78.6994924154 78.6994924154)))
7.0ms	(/ (- (* (pow x 3) (* 4.16438922228 4.16438922228)) (* x (* 78.6994924154 78.6994924154))) (- (* x 4.16438922228) 78.6994924154))
46.0ms	(/ (+ (* x (+ (* x (+ (/ (- (* (pow x 3) (* 4.16438922228 4.16438922228)) (* x (* 78.6994924154 78.6994924154))) (- (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

simplify52.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	6256	3392

prune367.0ms

Filtered

88 candidates to 119 candidates (-35.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	119	8	127

Merged error: 0.0b

Counts

127 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
23.9b	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
23.9b	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
23.9b	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
7×	`flip3-+` `flip-+`
6×	`associate-/l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 117

Calls

4 calls:

22.0ms	(cbrt (/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
28.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
28.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
29.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

series167.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(cbrt (/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
37.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
35.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
41.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

simplify70.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5044	5802

prune1.0s

Filtered

108 candidates to 129 candidates (-19.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	129	8	137

Merged error: 0.0b

Counts

137 → 8

localize36.0ms

Local error

Found 4 expressions with local error:

15.6b	(cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
15.6b	(cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
15.6b	(cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
22.3b	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (* (cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)) (cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`flip3-+` `flip-+`
9×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 70

Calls

4 calls:

13.0ms	(cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
12.0ms	(cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
12.0ms	(cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
44.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (* (cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)) (cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
10.0ms	(cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
12.0ms	(cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
84.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (* (cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)) (cbrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))))

simplify55.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4956	3038
1	4956	3038

prune337.0ms

Filtered

69 candidates to 82 candidates (-18.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

regimes405.0ms

Accuracy

96.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 24.5b

bsearch46.0ms

Steps

Iters	Range		Point
10	1.8063504954965364e+38	7.354696418078069e+51	6.166489227288305e+51
6	-14506381047678.746	-1478644125742.8972	-14279306773394.688

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	128	73
1	128	73

end0.0ms

sample843.0ms

Algorithm

intervals

Results

666.0ms	8000×	body	80	valid
1.0ms	9×	body	80	invalid

Details

analyze998.0ms

sample31.0ms

simplify35.0ms

prune15.0ms

localize23.0ms

rewrite56.0ms

series51.0ms

simplify48.0ms

prune256.0ms

localize32.0ms

rewrite70.0ms

series65.0ms

simplify52.0ms

prune367.0ms

localize32.0ms

rewrite111.0ms

series167.0ms

simplify70.0ms

prune1.0s

localize36.0ms

rewrite86.0ms

series116.0ms

simplify55.0ms

prune337.0ms

regimes405.0ms

bsearch46.0ms

simplify2.0ms

end0.0ms

sample843.0ms

Profiling