Details

analyze267.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

sample40.0ms

Algorithm

intervals

Results

14.0ms	146×	body	160	valid
8.0ms	289×	pre	80	true
6.0ms	110×	body	80	valid
2.0ms	33×	body	80	nan

simplify183.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (182.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune12.0ms

Filtered

1 candidates to 1 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: 29.8b

Counts

2 → 2

localize11.0ms

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))
29.6b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite31.0ms

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 → 72

Calls

4 calls:

4.0ms	(- (* b b) (* (* 3.0 a) c))
5.0ms	(* (* 3.0 a) c)
12.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
9.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* 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))))

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	6060	1115

prune125.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	80	6	86

Merged error: 0.5b

Counts

86 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

4.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a c))
14.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
18.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series103.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
3.0ms	(* 3.0 (* a c))
55.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
42.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify53.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5025	2216

prune194.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	124	11	135
Fresh	4	0	4
Picked	1	0	1
Done	1	0	1
Total	130	11	141

Merged error: 0b

Counts

141 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

4.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))
13.0ms	(/ (* (/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) a) a)
17.0ms	(* (/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) a)

series111.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))
48.0ms	(/ (* (/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) a) a)
51.0ms	(* (/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) a)

simplify44.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4963	1623
1	4963	1623

prune173.0ms

Filtered

80 candidates to 111 candidates (-38.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	113	9	122

Merged error: 0b

Counts

122 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ c (- (neg b) (sqrt (cbrt (pow (- (* b b) (* c (* 3.0 a))) 3))))) a)
0.3b	(* c (* 3.0 a))
0.5b	(cbrt (pow (- (* b b) (* c (* 3.0 a))) 3))
0.7b	(pow (- (* b b) (* c (* 3.0 a))) 3)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
42×	`associate-l`
39×	`*-un-lft-identity`
34×	`times-frac`
27×	`add-cube-cbrt`
24×	`cbrt-prod`
18×	`difference-of-squares`
15×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
12×	`pow1`
9×	`unpow-prod-down` `cube-prod`
6×	`distribute-lft-out--`
5×	`prod-exp` `cbrt-unprod` `sqr-pow`
4×	`cube-div` `associate-r` `pow-prod-down` `add-log-exp`
3×	`pow-unpow` `flip3--` `distribute-rgt-neg-in` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `pow1/3` `div-exp` `associate-*l/` `pow-exp` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 124

Calls

4 calls:

22.0ms	(* (/ c (- (neg b) (sqrt (cbrt (pow (- (* b b) (* c (* 3.0 a))) 3))))) a)
5.0ms	(* c (* 3.0 a))
5.0ms	(cbrt (pow (- (* b b) (* c (* 3.0 a))) 3))
5.0ms	(pow (- (* b b) (* c (* 3.0 a))) 3)

series85.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (/ c (- (neg b) (sqrt (cbrt (pow (- (* b b) (* c (* 3.0 a))) 3))))) a)
3.0ms	(* c (* 3.0 a))
8.0ms	(cbrt (pow (- (* b b) (* c (* 3.0 a))) 3))
19.0ms	(pow (- (* b b) (* c (* 3.0 a))) 3)

simplify64.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5033	2062

prune177.0ms

Filtered

83 candidates to 136 candidates (-63.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	136	9	145

Merged error: 0b

Counts

145 → 9

regimes207.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	84	22
1	84	22

end0.0ms

sample1.1s

Algorithm

intervals

Results

449.0ms	4496×	body	160	valid
260.0ms	9007×	pre	80	true
184.0ms	3504×	body	80	valid
49.0ms	1007×	body	80	nan

Details

analyze267.0ms

sample40.0ms

simplify183.0ms

prune12.0ms

localize11.0ms

rewrite31.0ms

series54.0ms

simplify46.0ms

prune125.0ms

localize12.0ms

rewrite45.0ms

series103.0ms

simplify53.0ms

prune194.0ms

localize13.0ms

rewrite43.0ms

series111.0ms

simplify44.0ms

prune173.0ms

localize16.0ms

rewrite44.0ms

series85.0ms

simplify64.0ms

prune177.0ms

regimes207.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling