Details

analyze277.0ms

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

sample52.0ms

Algorithm

intervals

Results

16.0ms	116×	body	320	valid
10.0ms	275×	pre	80	true
9.0ms	92×	body	160	valid
4.0ms	19×	body	640	valid
1.0ms	29×	body	80	valid
1.0ms	19×	body	80	nan

simplify200.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (198.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 52.3b

Counts

2 → 1

localize11.0ms

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))
0.3b	(* (* 3.0 a) c)
26.3b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite32.0ms

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

series58.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
29.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
4.0ms	(* (* 3.0 a) c)
16.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify54.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	6060	1115

prune120.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	3	85

Merged error: 0.1b

Counts

85 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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:

14.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
5.0ms	(* 3.0 (* a c))
7.0ms	(* 3.0 (* a c))
17.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series115.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms	(* 3.0 (* a c))
4.0ms	(* 3.0 (* a c))
47.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify60.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5025	2216

prune182.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	129	6	135
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	132	6	138

Merged error: 0.0b

Counts

138 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
0.1b	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
0.1b	(- (* b b) (* 3.0 (* a c)))
0.3b	(* 3.0 (* a c))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`times-frac`
17×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
9×	`pow1`
7×	`associate-/r*`
5×	`distribute-rgt-neg-in` `sqrt-prod`
3×	`flip3--` `diff-log` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*`
2×	`sub-neg` `associate-/r/`
1×	`cbrt-undiv` `associate--l-` `neg-sub0` `frac-2neg` `div-exp` `associate-r` `neg-log` `clear-num` `*-commutative` `div-inv`

Counts

4 → 91

Calls

4 calls:

10.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
9.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))

series81.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
17.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
9.0ms	(- (* b b) (* 3.0 (* a c)))
4.0ms	(* 3.0 (* a c))

simplify68.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5266	1656

prune160.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	103	6	109

Merged error: 0b

Counts

109 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* 3.0 (* a (* a (* c c)))))
0.3b	(* 3.0 (* a c))
0.3b	(* a (* a (* c c)))
0.4b	(/ (- (pow b 4) (* 3.0 (* 3.0 (* a (* a (* c c)))))) (+ (* 3.0 (* a c)) (* b b)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log` `add-cbrt-cube`
38×	`pow1`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `associate-l`
4×	`add-log-exp`
3×	`associate-r` `associate-/r` `-commutative` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv`

Counts

4 → 98

Calls

4 calls:

13.0ms	(* 3.0 (* 3.0 (* a (* a (* c c)))))
5.0ms	(* 3.0 (* a c))
8.0ms	(* a (* a (* c c)))
16.0ms	(/ (- (pow b 4) (* 3.0 (* 3.0 (* a (* a (* c c)))))) (+ (* 3.0 (* a c)) (* b b)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* 3.0 (* 3.0 (* a (* a (* c c)))))
4.0ms	(* 3.0 (* a c))
7.0ms	(* a (* a (* c c)))
22.0ms	(/ (- (pow b 4) (* 3.0 (* 3.0 (* a (* a (* c c)))))) (+ (* 3.0 (* a c)) (* b b)))

simplify34.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5222	1693

prune158.0ms

Filtered

63 candidates to 110 candidates (-74.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	110	6	116

Merged error: 0b

Counts

116 → 6

regimes179.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	123	31
1	123	31

end0.0ms

sample1.5s

Algorithm

intervals

Results

532.0ms	3652×	body	320	valid
284.0ms	2881×	body	160	valid
255.0ms	8801×	pre	80	true
97.0ms	514×	body	640	valid
49.0ms	953×	body	80	valid
40.0ms	801×	body	80	nan

Details

analyze277.0ms

sample52.0ms

simplify200.0ms

prune9.0ms

localize11.0ms

rewrite32.0ms

series58.0ms

simplify54.0ms

prune120.0ms

localize13.0ms

rewrite48.0ms

series115.0ms

simplify60.0ms

prune182.0ms

localize14.0ms

rewrite32.0ms

series81.0ms

simplify68.0ms

prune160.0ms

localize24.0ms

rewrite45.0ms

series41.0ms

simplify34.0ms

prune158.0ms

regimes179.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.5s

Profiling