Details

analyze985.0ms

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

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4946	37
1	4946	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: 24.5b

Counts

2 → 2

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
0.1b	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
0.1b	(* x (+ (* x 4.16438922228) 78.6994924154))
23.7b	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

rewrite54.0ms

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:

8.0ms	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
12.0ms	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
6.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
25.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

series59.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
9.0ms	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
6.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
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))

simplify48.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5008	2383

prune257.0ms

Filtered

78 candidates to 109 candidates (-39.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	104	7	111

Merged error: 0.0b

Counts

111 → 7

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* 4.16438922228 (* x 4.16438922228)))
0.2b	(* 4.16438922228 (* x 4.16438922228))
5.5b	(/ (* x (- (* x (* 4.16438922228 (* x 4.16438922228))) (* 78.6994924154 78.6994924154))) (- (* x 4.16438922228) 78.6994924154))
23.7b	(/ (+ (* x (+ (* x (+ (/ (* x (- (* x (* 4.16438922228 (* x 4.16438922228))) (* 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))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

9.0ms	(* x (* 4.16438922228 (* x 4.16438922228)))
5.0ms	(* 4.16438922228 (* x 4.16438922228))
13.0ms	(/ (* x (- (* x (* 4.16438922228 (* x 4.16438922228))) (* 78.6994924154 78.6994924154))) (- (* x 4.16438922228) 78.6994924154))
31.0ms	(/ (+ (* x (+ (* x (+ (/ (* x (- (* x (* 4.16438922228 (* x 4.16438922228))) (* 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))

series59.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* x (* 4.16438922228 (* x 4.16438922228)))
2.0ms	(* 4.16438922228 (* x 4.16438922228))
7.0ms	(/ (* x (- (* x (* 4.16438922228 (* x 4.16438922228))) (* 78.6994924154 78.6994924154))) (- (* x 4.16438922228) 78.6994924154))
46.0ms	(/ (+ (* x (+ (* x (+ (/ (* x (- (* x (* 4.16438922228 (* x 4.16438922228))) (* 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))

simplify46.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5797	2234

prune229.0ms

Filtered

78 candidates to 107 candidates (-37.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	107	7	114

Merged error: 0.0b

Counts

114 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
0.1b	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
0.1b	(* x (+ (* x 4.16438922228) 78.6994924154))
23.8b	(* (+ (* 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)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

12.0ms	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
8.0ms	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
6.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
30.0ms	(* (+ (* 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)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
7.0ms	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
6.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
36.0ms	(* (+ (* 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)))

simplify60.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5138	2561

prune219.0ms

Filtered

79 candidates to 120 candidates (-51.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	120	7	127

Merged error: 0.0b

Counts

127 → 7

localize31.0ms

Local error

Found 4 expressions with local error:

7.5b	(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
7.5b	(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
15.5b	(* (/ 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))))
20.7b	(/ (+ (* 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)))

rewrite104.0ms

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:

11.0ms	(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
13.0ms	(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
46.0ms	(* (/ 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))))
26.0ms	(/ (+ (* 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)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
6.0ms	(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
40.0ms	(* (/ 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))))
50.0ms	(/ (+ (* 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)))

simplify87.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5001	7444

prune461.0ms

Filtered

109 candidates to 172 candidates (-57.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	171	8	179

Merged error: 0.0b

Counts

179 → 8

regimes308.0ms

Accuracy

98.3% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 24.5b

bsearch70.0ms

Steps

Iters	Range		Point
8	1.7410430923367377e+58	1.1403996460204382e+63	2.680569997672386e+61
6	-9.276401880392646e+68	-8.478232259865522e+67	-2.914220050300624e+68

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	73
1	70	73

end0.0ms

analyze982.0ms

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

sample847.0ms

Algorithm

intervals

Results

661.0ms	8000×	body	80	valid
0.0ms	6×	body	80	invalid

Details

analyze985.0ms

sample31.0ms

simplify50.0ms

prune11.0ms

localize27.0ms

rewrite54.0ms

series59.0ms

simplify48.0ms

prune257.0ms

localize30.0ms

rewrite61.0ms

series59.0ms

simplify46.0ms

prune229.0ms

localize24.0ms

rewrite60.0ms

series58.0ms

simplify60.0ms

prune219.0ms

localize31.0ms

rewrite104.0ms

series103.0ms

simplify87.0ms

prune461.0ms

regimes308.0ms

bsearch70.0ms

simplify1.0ms

end0.0ms

analyze982.0ms

sample847.0ms

Profiling