Details

sample69.0ms

Algorithm

intervals

Results

15.0ms	545×	pre	80	true
14.0ms	150×	body	160	valid
13.0ms	289×	body	80	nan
5.0ms	106×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

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: 29.6b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* 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))
29.4b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite29.0ms

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:

3.0ms	(- (* b b) (* (* 3.0 a) c))
5.0ms	(* (* 3.0 a) c)
11.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* b b) (* (* 3.0 a) c))
3.0ms	(* (* 3.0 a) c)
27.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
15.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (46.0ms)

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

prune135.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	76	9	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	9	86

Merged error: 0.5b

Counts

86 → 9

localize15.0ms

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))

rewrite47.0ms

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:

5.0ms	(* (* 3.0 a) c)
5.0ms	(* 3.0 (* a c))
12.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series112.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (* 3.0 a) c)
4.0ms	(* 3.0 (* a c))
60.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
45.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify116.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (95.0ms)

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

prune286.0ms

Filtered

104 candidates to 169 candidates (-62.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	158	11	169
Fresh	7	1	8
Picked	1	0	1
Done	0	0	0
Total	166	12	178

Merged error: 0.0b

Counts

178 → 12

localize13.0ms

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))

rewrite47.0ms

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:

5.0ms	(* (* 3.0 a) c)
5.0ms	(* (* 3.0 a) c)
14.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
17.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series112.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (* 3.0 a) c)
4.0ms	(* (* 3.0 a) c)
59.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
45.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify104.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (83.0ms)

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

prune273.0ms

Filtered

103 candidates to 169 candidates (-64.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	165	4	169
Fresh	5	6	11
Picked	0	1	1
Done	0	0	0
Total	170	11	181

Merged error: 0.0b

Counts

181 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))
0.4b	(/ (* 1 (/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))) (* 3.0 a))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-exp-log`
77×	`add-cbrt-cube`
68×	`times-frac`
52×	`div-exp`
51×	`add-sqr-sqrt` `*-un-lft-identity`
44×	`prod-exp`
30×	`cbrt-undiv`
27×	`add-cube-cbrt`
26×	`associate-/r*`
25×	`cbrt-unprod`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`1-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `sqrt-prod` `add-log-exp`
4×	`div-inv`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`sub-neg` `flip3--` `diff-log` `associate-r/` `associate-l` `associate-/r/` `-commutative` `flip--` `associate-/l/`

Counts

4 → 148

Calls

4 calls:

4.0ms	(- (* b b) (* (* 3.0 a) c))
5.0ms	(* (* 3.0 a) c)
14.0ms	(/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))
19.0ms	(/ (* 1 (/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))) (* 3.0 a))

series124.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
4.0ms	(* (* 3.0 a) c)
61.0ms	(/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))
50.0ms	(/ (* 1 (/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))) (* 3.0 a))

simplify42.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	873	2226
1	5001	1781

prune162.0ms

Filtered

83 candidates to 160 candidates (-92.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	3	6	9
Picked	1	0	1
Done	1	0	1
Total	163	8	171

Merged error: 0b

Counts

171 → 8

regimes253.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	23
1	28	23
2	28	23

end0.0ms

sample2.0s

Algorithm

intervals

Results

447.0ms	16280×	pre	80	true
424.0ms	4476×	body	160	valid
383.0ms	8280×	body	80	nan
170.0ms	3524×	body	80	valid

Details

sample69.0ms

simplify9.0ms

prune3.0ms

localize13.0ms

rewrite29.0ms

series56.0ms

simplify54.0ms

prune135.0ms

localize15.0ms

rewrite47.0ms

series112.0ms

simplify116.0ms

prune286.0ms

localize13.0ms

rewrite47.0ms

series112.0ms

simplify104.0ms

prune273.0ms

localize14.0ms

rewrite49.0ms

series124.0ms

simplify42.0ms

prune162.0ms

regimes253.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.0s

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