Details

sample28.0ms

Algorithm

intervals

Results

6.0ms	52×	body	640	valid
5.0ms	139×	body	80	valid
3.0ms	32×	body	320	valid
3.0ms	18×	body	1280	valid
1.0ms	15×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	31	7
2	43	7
3	57	7
4	73	7
5	92	7
6	126	7
7	158	7
8	207	7
9	209	7
10	209	7

prune3.0ms

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: 9.0b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (+ x 1.0))
2.7b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 114

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
17.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
5.0ms	(/ 1.0 (+ x 1.0))
34.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (- x 1.0))
3.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.0ms	(/ 1.0 (+ x 1.0))
10.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	496	865
1	1681	827
2	5001	816

prune640.0ms

Filtered

126 candidates to 92 candidates (27.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	4	127

Merged error: 0.1b

Counts

127 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
17.1b	(+ (- (* (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (cbrt (+ x 1.0)))) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`cbrt-prod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
5×	`frac-add`
4×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
3×	`pow1/3` `frac-sub`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `frac-times` `associate-+l-` `sub-neg` `flip3--` `diff-log` `associate-r/` `associate-l/` `flip--`

Counts

4 → 63

Calls

4 calls:

3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
32.0ms	(+ (- (* (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (cbrt (+ x 1.0)))) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))
10.0ms	(+ (- (* (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (cbrt (+ x 1.0)))) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	460	997
1	1726	915
2	5001	827

prune509.0ms

Filtered

75 candidates to 58 candidates (22.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	75	4	79

Merged error: 0.1b

Counts

79 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
17.0b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

90×	`associate-*l/`
32×	`frac-add`
30×	`flip3--` `flip--`
25×	`flip3-+` `flip-+`
24×	`frac-times`
20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-/l/`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`associate-*r/`
11×	`pow1`
9×	`add-cube-cbrt`
8×	`associate-r` `associate-/r/`
7×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`associate-l`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `pow-prod-down`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/l*`
2×	`*-commutative`
1×	`+-commutative` `frac-2neg` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 133

Calls

4 calls:

6.0ms	(* (+ x 1.0) x)
22.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
9.0ms	(* (* (+ x 1.0) x) (- x 1.0))
11.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series20.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (+ x 1.0) x)
6.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
8.0ms	(* (* (+ x 1.0) x) (- x 1.0))
1.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1009	2250
1	5001	2104

prune930.0ms

Filtered

145 candidates to 112 candidates (22.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	145	4	149

Merged error: 0.1b

Counts

149 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
0.1b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*l/`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`pow1`
8×	`frac-times` `add-cube-cbrt` `associate-r` `associate-/r/`
7×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
6×	`flip3--` `flip--`
5×	`associate-l`
4×	`associate-*r/` `pow-prod-down`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/l*` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `*-commutative`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

6.0ms	(* (+ x 1.0) x)
12.0ms	(* (* (+ x 1.0) x) (- x 1.0))
10.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series18.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (+ x 1.0) x)
8.0ms	(* (* (+ x 1.0) x) (- x 1.0))
6.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	430	600
1	2219	516
2	5002	515

prune274.0ms

Filtered

93 candidates to 62 candidates (33.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	92	5	97

Merged error: 0b

Counts

97 → 5

regimes35.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample704.0ms

Algorithm

intervals

Results

234.0ms	1848×	body	640	valid
135.0ms	4190×	body	80	valid
91.0ms	572×	body	1280	valid
89.0ms	908×	body	320	valid
30.0ms	483×	body	160	valid

Details

sample28.0ms

simplify15.0ms

prune3.0ms

localize8.0ms

rewrite67.0ms

series18.0ms

simplify50.0ms

prune640.0ms

localize13.0ms

rewrite42.0ms

series28.0ms

simplify51.0ms

prune509.0ms

localize15.0ms

rewrite56.0ms

series20.0ms

simplify50.0ms

prune930.0ms

localize6.0ms

rewrite31.0ms

series18.0ms

simplify57.0ms

prune274.0ms

regimes35.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample704.0ms

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