Details

sample102.0ms

Algorithm

intervals

Results

28.0ms

266×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Filtered

1 candidates to 0 candidates (100.0%)

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: 26.6b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite59.0ms

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:

12.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
9.0ms	(* (+ (* (+ y a) y) b) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series196.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
8.0ms	(* (+ (* (+ y a) y) b) y)
15.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
150.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify65.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	513	1302
1	2274	1176
2	5002	1174

prune262.0ms

Filtered

103 candidates to 77 candidates (25.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	89	14	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	14	104

Merged error: 25.7b

Counts

104 → 14

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.2b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
26.0b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`pow1`
8×	`flip3-+` `div-exp` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `associate-*l/` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

8.0ms	(* (+ (* (+ y a) y) b) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
23.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
24.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series390.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (+ (* (+ y a) y) b) y)
16.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
136.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
230.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify93.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	684	3581
1	3345	3306
2	5001	3226

prune277.0ms

Filtered

167 candidates to 96 candidates (42.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	162	5	167
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	166	15	181

Merged error: 25.7b

Counts

181 → 15

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.4b	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
0.8b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
25.3b	(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
248×	`add-sqr-sqrt`
246×	`add-cube-cbrt` `*-un-lft-identity`
69×	`associate-/r/`
54×	`add-exp-log`
36×	`div-exp`
35×	`flip3-+` `flip-+` `div-inv`
22×	`add-cbrt-cube`
21×	`associate-/r` `associate-/l`
10×	`cbrt-undiv` `rec-exp` `1-exp`
8×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `clear-num`
2×	`pow-flip` `associate-*l/` `inv-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

4 → 373

Calls

4 calls:

9.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
13.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
13.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
34.0ms	(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
40.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
23.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
138.0ms	(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

simplify132.0ms

Algorithm

egg-herbie

Counts

385 → 385

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1744	12015
1	5002	11362

prune685.0ms

Filtered

385 candidates to 193 candidates (49.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	383	2	385
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	387	13	400

Merged error: 25.7b

Counts

400 → 13

localize30.0ms

Local error

Found 4 expressions with local error:

18.7b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
18.7b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
18.7b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
26.0b	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite78.0ms

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:

9.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
9.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
9.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
48.0ms	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series302.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
49.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
52.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
148.0ms	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify52.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	358	2200
1	1229	2005
2	5002	1959

prune264.0ms

Filtered

82 candidates to 71 candidates (13.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	81	14	95

Merged error: 25.7b

Counts

95 → 14

regimes1.3s

Accuracy

0% (1.2b remaining)

Error of 29.1b against oracle of 27.9b and baseline of 29.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	33
1	45	33

end0.0ms

sample1.3s

Algorithm

intervals

Results

718.0ms

8251×

body

valid

Details

sample102.0ms

simplify104.0ms

prune6.0ms

localize25.0ms

rewrite59.0ms

series196.0ms

simplify65.0ms

prune262.0ms

localize27.0ms

rewrite70.0ms

series390.0ms

simplify93.0ms

prune277.0ms

localize24.0ms

rewrite90.0ms

series216.0ms

simplify132.0ms

prune685.0ms

localize30.0ms

rewrite78.0ms

series302.0ms

simplify52.0ms

prune264.0ms

regimes1.3s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling