Details

analyze266.0ms

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

sample42.0ms

Algorithm

intervals

Results

17.0ms	155×	body	160	valid
8.0ms	289×	pre	80	true
5.0ms	101×	body	80	valid
2.0ms	33×	body	80	nan

simplify178.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (177.0ms)

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: 28.8b

Counts

2 → 1

localize10.0ms

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))
28.6b	(+ (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))
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
3.0ms	(* (* 3.0 a) c)
26.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
17.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	6060	1115

prune119.0ms

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	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	6	85

Merged error: 0.4b

Counts

85 → 6

localize14.0ms

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))
0.3b	(/ (/ (* 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:

14.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
5.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a c))
16.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series110.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (* 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))

simplify55.0ms

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

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	125	10	135
Fresh	4	0	4
Picked	1	0	1
Done	1	0	1
Total	131	10	141

Merged error: 0.0b

Counts

141 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
26×	`add-sqr-sqrt`
23×	`add-cbrt-cube`
20×	`*-un-lft-identity`
19×	`prod-exp`
18×	`div-exp`
15×	`add-cube-cbrt`
14×	`pow1` `times-frac` `associate-r`
10×	`associate-l`
9×	`rec-exp` `1-exp`
7×	`cbrt-unprod`
6×	`associate-/r/` `add-log-exp`
5×	`cbrt-undiv` `flip3--` `pow-prod-down` `flip--`
4×	`frac-times` `associate-*l/`
3×	`associate-/l*` `unswap-sqr`
2×	`pow-flip` `associate-r/` `un-div-inv` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `distribute-rgt-neg-in` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `sqrt-prod` `inv-pow`

Counts

4 → 117

Calls

4 calls:

15.0ms	(/ 1 (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 c)))
4.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))
18.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 c))

series66.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 1 (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 c)))
9.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))
18.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 c))

simplify51.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4962	1829
1	4962	1829

prune174.0ms

Filtered

76 candidates to 129 candidates (-69.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	123	6	129
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	130	9	139

Merged error: 0b

Counts

139 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

9.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
11.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
6.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))

series78.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
50.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
9.0ms	(- (* b b) (* 3.0 (* a c)))
4.0ms	(* 3.0 (* a c))

simplify57.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5266	1656

prune116.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	104	8	112

Merged error: 0b

Counts

112 → 8

regimes262.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	15
1	81	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

432.0ms	4529×	body	160	valid
267.0ms	8984×	pre	80	true
168.0ms	3471×	body	80	valid
46.0ms	984×	body	80	nan

Details

analyze266.0ms

sample42.0ms

simplify178.0ms

prune9.0ms

localize10.0ms

rewrite31.0ms

series56.0ms

simplify43.0ms

prune119.0ms

localize14.0ms

rewrite45.0ms

series110.0ms

simplify55.0ms

prune194.0ms

localize13.0ms

rewrite46.0ms

series66.0ms

simplify51.0ms

prune174.0ms

localize11.0ms

rewrite34.0ms

series78.0ms

simplify57.0ms

prune116.0ms

regimes262.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling