Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

264×

body

valid

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

prune4.0ms

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: 32.5b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
31.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite62.0ms

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)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
12.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
28.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series486.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ (* (+ y a) y) b) y)
54.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
76.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
322.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify69.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	513	1302
1	2274	1176
2	5001	1174

prune484.0ms

Filtered

103 candidates to 77 candidates (74.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	91	12	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	12	104

Merged error: 31.5b

Counts

104 → 12

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.5b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
31.3b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite70.0ms

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-+` `associate-*l/` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 115

Calls

4 calls:

10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
12.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
14.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
31.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
79.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
50.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
328.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify77.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	552	1720
1	2685	1540
2	5001	1514

prune492.0ms

Filtered

127 candidates to 82 candidates (64.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	129	10	139

Merged error: 31.5b

Counts

139 → 10

localize32.0ms

Local error

Found 4 expressions with local error:

27.8b	(cbrt (* (+ (* (+ y a) y) b) y))
27.8b	(cbrt (* (+ (* (+ y a) y) b) y))
27.8b	(cbrt (* (+ (* (+ y a) y) b) y))
31.9b	(/ (+ (* (+ (* (+ (* (+ (* 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))

rewrite56.0ms

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:

8.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
7.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
8.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
32.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

series752.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
99.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
100.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
447.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify112.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	302	1704
1	976	1552
2	4127	1483
3	5001	1436

prune463.0ms

Filtered

76 candidates to 66 candidates (86.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	76	10	86

Merged error: 31.5b

Counts

86 → 10

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (/ (+ (+ i (* y c)) (* y (pow (cbrt (* (+ (* (+ y a) y) b) y)) 3))) 1))
4.1b	(+ (+ i (* y c)) (* y (pow (cbrt (* (+ (* (+ y a) y) b) y)) 3)))
27.8b	(cbrt (* (+ (* (+ y a) y) b) y))
31.3b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (/ (+ (+ i (* y c)) (* y (pow (cbrt (* (+ (* (+ y a) y) b) y)) 3))) 1)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

151×	`times-frac`
101×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
82×	`add-cube-cbrt`
45×	`add-exp-log`
44×	`associate-r`
24×	`div-exp`
18×	`add-cbrt-cube`
13×	`associate-/r*`
12×	`1-exp`
10×	`prod-exp`
9×	`div-inv` `add-log-exp`
8×	`flip3-+` `associate-*l/` `flip-+`
7×	`pow1` `unswap-sqr`
6×	`cbrt-undiv` `rec-exp` `cbrt-div`
5×	`associate-*r/`
4×	`cube-div` `frac-add`
3×	`associate-l` `sum-log` `cbrt-unprod` `associate-/l*`
2×	`frac-times` `associate-/r/`
1×	`+-commutative` `cbrt-prod` `associate-+l+` `pow-flip` `frac-2neg` `pow1/3` `pow-prod-down` `clear-num` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 189

Calls

4 calls:

8.0ms	(/ 1 (/ (+ (+ i (* y c)) (* y (pow (cbrt (* (+ (* (+ y a) y) b) y)) 3))) 1))
8.0ms	(+ (+ i (* y c)) (* y (pow (cbrt (* (+ (* (+ y a) y) b) y)) 3)))
7.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
29.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (/ (+ (+ i (* y c)) (* y (pow (cbrt (* (+ (* (+ y a) y) b) y)) 3))) 1)))

series1.0s

Counts

4 → 12

Calls

4 calls:

251.0ms	(/ 1 (/ (+ (+ i (* y c)) (* y (pow (cbrt (* (+ (* (+ y a) y) b) y)) 3))) 1))
224.0ms	(+ (+ i (* y c)) (* y (pow (cbrt (* (+ (* (+ y a) y) b) y)) 3)))
99.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
443.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (/ (+ (+ i (* y c)) (* y (pow (cbrt (* (+ (* (+ y a) y) b) y)) 3))) 1)))

simplify117.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	935	4100
1	4506	3688
2	5001	3435

prune770.0ms

Filtered

201 candidates to 114 candidates (56.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	199	2	201
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	200	11	211

Merged error: 31.5b

Counts

211 → 11

regimes591.0ms

Accuracy

0% (1.2b remaining)

Error of 29.0b against oracle of 27.7b and baseline of 29.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	21
1	52	21

end0.0ms

sample954.0ms

Algorithm

intervals

Results

581.0ms

8243×

body

valid