Details

analyze1.0s

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

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4946	37
1	4946	37

prune13.0ms

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: 25.5b

Counts

2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
0.0b	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
0.1b	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
24.6b	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

rewrite64.0ms

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 4.16438922228) 78.6994924154)) 137.519416416))
9.0ms	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
13.0ms	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
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))

series56.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
4.0ms	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
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) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

simplify62.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4965	2491
1	4965	2491

prune277.0ms

Filtered

78 candidates to 109 candidates (-39.7%)

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

localize28.0ms

Local error

Found 4 expressions with local error:

16.2b	(cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
16.2b	(cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
16.2b	(cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
24.6b	(/ (+ (* x (+ (* (* x (* (cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) (cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)))) (cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

7.0ms	(cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
7.0ms	(cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
7.0ms	(cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
51.0ms	(/ (+ (* x (+ (* (* x (* (cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) (cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)))) (cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

series72.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
14.0ms	(cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
10.0ms	(cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
39.0ms	(/ (+ (* x (+ (* (* x (* (cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) (cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)))) (cbrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

simplify53.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5344	2439

prune326.0ms

Filtered

72 candidates to 82 candidates (-13.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
0.1b	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
0.5b	(/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
24.8b	(* (+ (* 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)))

rewrite72.0ms

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:

9.0ms	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
14.0ms	(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
14.0ms	(/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
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)))

series61.0ms

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	(/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
42.0ms	(* (+ (* 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)))

simplify59.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5226	3145

prune454.0ms

Filtered

86 candidates to 131 candidates (-52.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	132	7	139

Merged error: 0.0b

Counts

139 → 7

localize30.0ms

Local error

Found 4 expressions with local error:

17.0b	(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
17.0b	(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
17.0b	(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
22.9b	(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (* (cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))) (cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
27×	`add-sqr-sqrt` `times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-*r/` `associate-/r/`
5×	`associate-*l/`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

14.0ms	(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
14.0ms	(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
14.0ms	(cbrt (/ 1 (+ (* 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) (* (cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))) (cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))))

series138.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
12.0ms	(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
11.0ms	(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
101.0ms	(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (* (cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))) (cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5046	4251

prune407.0ms

Filtered

74 candidates to 114 candidates (-54.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	114	7	121

Merged error: 0.0b

Counts

121 → 7

regimes392.0ms

Accuracy

97.6% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 24.4b

bsearch89.0ms

Steps

Iters	Range		Point
10	6.606214833204682e+39	5.928119172864175e+50	9.351024673543105e+48
7	-2.4553796622718164e+64	-5.7728760813834435e+62	-1.6132576564210602e+63

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	84
1	68	84

end0.0ms

analyze1.0s

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

sample835.0ms

Algorithm

intervals

Results

661.0ms	8000×	body	80	valid
1.0ms	13×	body	80	invalid

Details

analyze1.0s

sample30.0ms

simplify50.0ms

prune13.0ms

localize22.0ms

rewrite64.0ms

series56.0ms

simplify62.0ms

prune277.0ms

localize28.0ms

rewrite75.0ms

series72.0ms

simplify53.0ms

prune326.0ms

localize26.0ms

rewrite72.0ms

series61.0ms

simplify59.0ms

prune454.0ms

localize30.0ms

rewrite96.0ms

series138.0ms

simplify80.0ms

prune407.0ms

regimes392.0ms

bsearch89.0ms

simplify2.0ms

end0.0ms

analyze1.0s

sample835.0ms

Profiling