Details

sample77.0ms

Algorithm

intervals

Results

17.0ms	496×	pre	80	true
15.0ms	111×	body	320	valid
12.0ms	240×	body	80	nan
8.0ms	84×	body	160	valid
3.0ms	15×	body	640	valid
2.0ms	46×	body	80	valid

simplify10.0ms

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: 49.9b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.2b	(* (* 3.0 a) c)
26.2b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite30.0ms

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:

4.0ms	(- (* b b) (* (* 3.0 a) c))
12.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms	(* (* 3.0 a) c)
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
24.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
3.0ms	(* (* 3.0 a) c)
16.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	417	711
1	1922	611
2	5002	602

prune117.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	4	86

Merged error: 0.1b

Counts

86 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.2b	(* 3.0 (* a c))
0.3b	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite44.0ms

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)))))
16.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series104.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* 3.0 a) c)
3.0ms	(* 3.0 (* a c))
53.0ms	(/ (+ 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))

simplify122.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (99.0ms)

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

prune276.0ms

Filtered

104 candidates to 169 candidates (-62.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	161	8	169
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	164	9	173

Merged error: 0b

Counts

173 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.2b	(* (* 3.0 a) c)
0.3b	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(/ (/ (+ 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))

series104.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* 3.0 a) c)
3.0ms	(* (* 3.0 a) c)
56.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
42.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify109.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (87.0ms)

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

prune263.0ms

Filtered

103 candidates to 169 candidates (-64.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	170	8	178

Merged error: 0b

Counts

178 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log` `add-cbrt-cube`
26×	`times-frac`
24×	`prod-exp` `cbrt-unprod`
19×	`cbrt-undiv` `div-exp`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`pow1`
10×	`associate-*r/` `associate-/r/`
8×	`associate-/l*`
6×	`associate-r` `pow-prod-down` `div-inv`
5×	`flip3--` `flip--`
4×	`associate-/r*` `add-log-exp`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 119

Calls

4 calls:

5.0ms	(* (* 3.0 a) c)
5.0ms	(* (* 3.0 a) c)
16.0ms	(/ (/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
16.0ms	(/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series104.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* 3.0 a) c)
3.0ms	(* (* 3.0 a) c)
41.0ms	(/ (/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
56.0ms	(/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify108.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	582	1851
1	3905	1423
2	5001	1398

prune145.0ms

Filtered

79 candidates to 131 candidates (-65.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	131	8	139

Merged error: 0b

Counts

139 → 8

regimes296.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	12
1	17	12

end0.0ms

sample2.3s

Algorithm

intervals

Results

507.0ms	3630×	body	320	valid
440.0ms	15975×	pre	80	true
376.0ms	7975×	body	80	nan
281.0ms	2944×	body	160	valid
101.0ms	533×	body	640	valid
43.0ms	893×	body	80	valid

Details

sample77.0ms

simplify10.0ms

prune3.0ms

localize10.0ms

rewrite30.0ms

series52.0ms

simplify57.0ms

prune117.0ms

localize17.0ms

rewrite44.0ms

series104.0ms

simplify122.0ms

prune276.0ms

localize13.0ms

rewrite47.0ms

series104.0ms

simplify109.0ms

prune263.0ms

localize13.0ms

rewrite46.0ms

series104.0ms

simplify108.0ms

prune145.0ms

regimes296.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling