Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	134×	body	160	valid
0.0hr	554×	pre	80	true
0.0hr	298×	body	80	nan
0.0hr	122×	body	80	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	21	9
1	42	9
2	76	9
3	94	9
4	102	9
5	102	9

prune0.0hr

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: 27.3b

Counts

2 → 1

localize0.0hr

Local error

Found 4 expressions with local error:

0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.2b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-sub` `associate-l` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 73

Calls

4 calls:

0.0hr	(- (* b b) (* (* 3.0 a) c))
0.0hr	(* (* 3.0 a) c)
0.0hr	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.0hr	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (* b b) (* (* 3.0 a) c))
0.0hr	(* (* 3.0 a) c)
0.0hr	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.0hr	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify0.0hr

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	417	711
1	1922	611
2	5001	602

prune0.0hr

Filtered

85 candidates to 59 candidates (30.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	6	86

Merged error: 0.5b

Counts

86 → 6

localize0.0hr

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* a c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
80×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`add-cube-cbrt`
30×	`associate-/l*`
28×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
14×	`pow1`
10×	`distribute-rgt-neg-in` `sqrt-prod`
8×	`prod-exp` `associate-/r*` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down` `associate-/r/`
4×	`associate-r` `associate-l` `div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

0.0hr	(* 3.0 (* a c))
0.0hr	(* (* 3.0 a) c)
0.0hr	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.0hr	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* 3.0 (* a c))
0.0hr	(* (* 3.0 a) c)
0.0hr	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.0hr	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify0.0hr

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	628	2481
1	3322	2152
2	5002	2149

prune0.0hr

Filtered

169 candidates to 104 candidates (38.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	159	10	169
Fresh	5	0	5
Picked	1	0	1
Done	0	0	0
Total	165	10	175

Merged error: 0.0b

Counts

175 → 10

localize0.0hr

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
80×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`add-cube-cbrt`
30×	`associate-/l*`
28×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
14×	`pow1`
10×	`distribute-rgt-neg-in` `sqrt-prod`
8×	`prod-exp` `associate-/r*` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r` `pow-prod-down` `associate-/r/`
4×	`div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

0.0hr	(* (* 3.0 a) c)
0.0hr	(* (* 3.0 a) c)
0.0hr	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.0hr	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* (* 3.0 a) c)
0.0hr	(* (* 3.0 a) c)
0.0hr	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.0hr	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify0.0hr

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	571	2482
1	3060	2153
2	5003	2150

prune0.0hr

Filtered

169 candidates to 102 candidates (39.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	166	3	169
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	168	11	179

Merged error: 0b

Counts

179 → 11

localize0.0hr

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(* 3.0 (* a c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (* 3.0 (* a c)) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

0.0hr	(* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.0hr	(* 3.0 (* a c))
0.0hr	(* (* 3.0 a) c)
0.0hr	(/ (* 3.0 (* a c)) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.0hr	(* 3.0 (* a c))
0.0hr	(* (* 3.0 a) c)
0.0hr	(/ (* 3.0 (* a c)) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify0.0hr

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	495	941
1	3264	685
2	5001	670

prune0.0hr

Filtered

103 candidates to 60 candidates (41.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	105	9	114

Merged error: 0b

Counts

114 → 9

regimes0.0hr

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	18	13
1	20	13
2	20	13

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	16496×	pre	80	true
0.0hr	4517×	body	160	valid
0.0hr	8496×	body	80	nan
0.0hr	3482×	body	80	valid
0.0hr	1×	body	320	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

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