Details

sample41.0ms

Algorithm

intervals

Results

21.0ms

263×

body

valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	16
1	102	16
2	292	16
3	803	16
4	2143	16
5	3616	16
6	4166	16
7	5002	16

prune7.0ms

Filtered

1 candidates to 0 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: 23.1b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
22.6b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite55.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 99

Calls

4 calls:

12.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
7.0ms	(* (+ (* x y) z) y)
9.0ms	(* (+ (* (+ y a) y) b) y)
25.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series460.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
35.0ms	(* (+ (* x y) z) y)
34.0ms	(* (+ (* (+ y a) y) b) y)
314.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify67.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	546	1234
1	2234	1084
2	5002	1065

prune497.0ms

Filtered

111 candidates to 96 candidates (86.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	102	9	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	9	112

Merged error: 22.3b

Counts

112 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

22.6b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))
25.2b	(cbrt (* (+ (* (+ y a) y) b) y))
25.2b	(cbrt (* (+ (* (+ y a) y) b) y))
25.2b	(cbrt (* (+ (* (+ y a) y) b) y))

rewrite58.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `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 → 72

Calls

4 calls:

34.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))
7.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
7.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
7.0ms	(cbrt (* (+ (* (+ y a) y) b) y))

series717.0ms

Counts

4 → 12

Calls

4 calls:

428.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))
95.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
96.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
97.0ms	(cbrt (* (+ (* (+ y a) y) b) y))

simplify107.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	321	1765
1	1016	1596
2	4451	1516
3	5001	1507

prune465.0ms

Filtered

84 candidates to 78 candidates (92.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	84	9	93

Merged error: 22.3b

Counts

93 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* x y) z) y)
0.3b	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
22.4b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
24×	`prod-exp`
22×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`1-exp` `div-exp`
9×	`associate-l`
7×	`cbrt-unprod`
6×	`rec-exp` `times-frac` `associate-*l/`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `pow-prod-down` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`-commutative` `associate-/l` `unswap-sqr`
2×	`frac-times` `pow-flip` `div-inv`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r` `un-div-inv` `inv-pow`

Counts

4 → 118

Calls

4 calls:

12.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
7.0ms	(* (+ (* x y) z) y)
7.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
20.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
32.0ms	(* (+ (* x y) z) y)
57.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
305.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify68.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	555	1212
1	2263	1017
2	5001	949

prune608.0ms

Filtered

130 candidates to 89 candidates (68.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	129	10	139

Merged error: 22.3b

Counts

139 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.3b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
22.7b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite74.0ms

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` `expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `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 → 163

Calls

4 calls:

7.0ms	(* (+ (* x y) z) y)
11.0ms	(* (+ (* (+ y a) y) b) y)
24.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
26.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series962.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (+ (* x y) z) y)
38.0ms	(* (+ (* (+ y a) y) b) y)
402.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
490.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify105.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	707	3406
1	3206	2996
2	5001	2837

prune581.0ms

Filtered

175 candidates to 117 candidates (66.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	175	10	185

Merged error: 22.3b

Counts

185 → 10

regimes507.0ms

Accuracy

0% (1.2b remaining)

Error of 29.5b against oracle of 28.4b and baseline of 29.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	29
1	45	29

end0.0ms

sample1.0s

Algorithm

intervals

Results

679.0ms

8252×

body

valid