Details

analyze1.9s

Algorithm: search

sample46.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
1.0ms	12×	body	80	invalid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	16
1	88	16
2	254	16
3	663	16
4	1615	16
5	2362	16
6	2584	16
7	3122	16
8	5001	16

prune6.0ms

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: 31.4b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

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-*l/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`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 → 91

Calls

4 calls:

11.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
9.0ms	(* (+ (* x y) z) y)
9.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
24.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series185.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
11.0ms	(* (+ (* x y) z) y)
14.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
143.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify64.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	505	1241
1	2228	1133
2	5001	1131

prune214.0ms

Filtered

76 candidates to 103 candidates (-35.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	93	10	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	10	104

Merged error: 30.1b

Counts

104 → 10

localize29.0ms

Local error

Found 4 expressions with local error:

24.7b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
24.7b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
24.7b	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
30.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

10.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
10.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
10.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
32.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

series323.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
50.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
52.0ms	(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
171.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i))

simplify116.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	330	2041
1	1043	1848
2	4286	1742
3	5001	1649

prune167.0ms

Filtered

66 candidates to 76 candidates (-15.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	76	10	86

Merged error: 30.1b

Counts

86 → 10

localize29.0ms

Local error

Found 4 expressions with local error:

17.0b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
17.0b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
18.3b	(/ (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
25.7b	(* (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
38×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
30×	`cbrt-div`
28×	`cbrt-prod`
24×	`associate-r`
18×	`add-exp-log`
17×	`flip3-+` `flip-+`
16×	`frac-times`
12×	`associate-*l/`
11×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod` `associate-/l*`
5×	`associate-*r/`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r*` `unswap-sqr`
2×	`pow1/3` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-l` `clear-num` `*-commutative`

Counts

4 → 132

Calls

4 calls:

11.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
11.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
24.0ms	(/ (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
55.0ms	(* (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series473.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
80.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
166.0ms	(/ (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
147.0ms	(* (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify89.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	644	4721
1	2637	4311
2	5003	4140

prune464.0ms

Filtered

116 candidates to 144 candidates (-24.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	144	10	154

Merged error: 30.1b

Counts

154 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* 27464.7644705 y) 230661.510616) y)
28.1b	(/ (+ (* (+ (* 27464.7644705 y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite49.0ms

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-*l/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`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 → 91

Calls

4 calls:

9.0ms	(* (+ (* (+ y a) y) b) y)
12.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
6.0ms	(* (+ (* 27464.7644705 y) 230661.510616) y)
21.0ms	(/ (+ (* (+ (* 27464.7644705 y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series78.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (+ (* (+ y a) y) b) y)
16.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
9.0ms	(* (+ (* 27464.7644705 y) 230661.510616) y)
46.0ms	(/ (+ (* (+ (* 27464.7644705 y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	490	1030
1	2168	940
2	5001	940

prune126.0ms

Filtered

74 candidates to 103 candidates (-39.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	2	5	7
Picked	1	0	1
Done	1	1	2
Total	103	10	113

Merged error: 29.9b

Counts

113 → 10

regimes1.1s

Accuracy

0% (1.8b remaining)

Error of 29.7b against oracle of 27.9b and baseline of 29.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	37
1	45	37

end0.0ms

analyze2.1s

Algorithm: search

sample1.1s

Algorithm

intervals

Results

701.0ms	8000×	body	80	valid
20.0ms	248×	body	80	invalid

Details

analyze1.9s

sample46.0ms

simplify104.0ms

prune6.0ms

localize22.0ms

rewrite56.0ms

series185.0ms

simplify64.0ms

prune214.0ms

localize29.0ms

rewrite64.0ms

series323.0ms

simplify116.0ms

prune167.0ms

localize29.0ms

rewrite107.0ms

series473.0ms

simplify89.0ms

prune464.0ms

localize16.0ms

rewrite49.0ms

series78.0ms

simplify62.0ms

prune126.0ms

regimes1.1s

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze2.1s

sample1.1s

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