Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

sample44.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
8.0ms	154×	body	80	invalid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4977	21
1	4977	21

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: 0.0b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b	(* (- t 1.0) a)
0.0b	(* (- (+ y t) 2.0) b)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*l/`
23×	`flip3--` `flip--`
18×	`add-log-exp`
16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`frac-add` `frac-sub`
11×	`associate-l`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`diff-log` `associate-r`
4×	`sub-neg`
3×	`sum-log` `distribute-lft-out--`
2×	`associate-+l+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 91

Calls

4 calls:

6.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
13.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms	(* (- t 1.0) a)
9.0ms	(* (- (+ y t) 2.0) b)

series80.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
45.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
4.0ms	(* (- t 1.0) a)
6.0ms	(* (- (+ y t) 2.0) b)

simplify42.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4978	2749
1	4978	2749

prune184.0ms

Filtered

80 candidates to 103 candidates (-28.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	4	104

Merged error: 0.0b

Counts

104 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ y (- t 2.0)) b)) (cbrt (* (+ y (- t 2.0)) b)))
0.6b	(cbrt (* (+ y (- t 2.0)) b))
0.6b	(cbrt (* (+ y (- t 2.0)) b))
0.6b	(cbrt (* (+ y (- t 2.0)) b))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* (+ y (- t 2.0)) b)) (cbrt (* (+ y (- t 2.0)) b)))
6.0ms	(cbrt (* (+ y (- t 2.0)) b))
7.0ms	(cbrt (* (+ y (- t 2.0)) b))
6.0ms	(cbrt (* (+ y (- t 2.0)) b))

series127.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (cbrt (* (+ y (- t 2.0)) b)) (cbrt (* (+ y (- t 2.0)) b)))
27.0ms	(cbrt (* (+ y (- t 2.0)) b))
30.0ms	(cbrt (* (+ y (- t 2.0)) b))
27.0ms	(cbrt (* (+ y (- t 2.0)) b))

simplify64.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5347	1192

prune190.0ms

Filtered

66 candidates to 84 candidates (-27.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ y t) 3)
0.0b	(+ (* (+ y t) (+ y t)) (+ (* 2.0 2.0) (* (+ y t) 2.0)))
4.8b	(* b (- (pow (+ y t) 3) (pow 2.0 3)))
23.7b	(/ (* b (- (pow (+ y t) 3) (pow 2.0 3))) (+ (* (+ y t) (+ y t)) (+ (* 2.0 2.0) (* (+ y t) 2.0))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

43×	`flip3-+` `flip-+`
37×	`add-sqr-sqrt` `*-un-lft-identity`
32×	`frac-add`
29×	`associate-r`
20×	`unpow-prod-down` `cube-prod`
18×	`associate-/r/`
16×	`frac-times` `difference-of-squares`
12×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
11×	`add-cube-cbrt`
9×	`distribute-lft-out--` `add-log-exp` `sqr-pow`
8×	`associate-*l/`
7×	`pow1`
6×	`distribute-lft-out`
3×	`pow-unpow` `times-frac` `associate-l` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `cube-div` `distribute-rgt-in` `sub-neg` `associate-+l+` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`difference-cubes` `+-commutative` `cube-mult` `pow-to-exp` `associate-+r+` `pow-pow` `frac-2neg` `unpow3` `pow-prod-down` `pow-exp` `clear-num` `-commutative` `div-inv` `associate-/l` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 147

Calls

4 calls:

5.0ms	(pow (+ y t) 3)
17.0ms	(+ (* (+ y t) (+ y t)) (+ (* 2.0 2.0) (* (+ y t) 2.0)))
22.0ms	(* b (- (pow (+ y t) 3) (pow 2.0 3)))
32.0ms	(/ (* b (- (pow (+ y t) 3) (pow 2.0 3))) (+ (* (+ y t) (+ y t)) (+ (* 2.0 2.0) (* (+ y t) 2.0))))

series130.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(pow (+ y t) 3)
10.0ms	(+ (* (+ y t) (+ y t)) (+ (* 2.0 2.0) (* (+ y t) 2.0)))
38.0ms	(* b (- (pow (+ y t) 3) (pow 2.0 3)))
76.0ms	(/ (* b (- (pow (+ y t) 3) (pow 2.0 3))) (+ (* (+ y t) (+ y t)) (+ (* 2.0 2.0) (* (+ y t) 2.0))))

simplify58.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5063	3930

prune353.0ms

Filtered

104 candidates to 159 candidates (-52.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	159	4	163

Merged error: 0.0b

Counts

163 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (+ y t) 2.0) b)
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (* (- t 1.0) (sqrt a)) (sqrt a))) (* (- (+ y t) 2.0) b))
0.1b	(* (- t 1.0) (sqrt a))
0.3b	(* (* (- t 1.0) (sqrt a)) (sqrt a))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

36×	`associate-*l/`
21×	`add-sqr-sqrt`
19×	`flip3--` `flip--`
18×	`*-un-lft-identity`
15×	`associate-r`
13×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
12×	`associate-l` `frac-add`
11×	`add-cube-cbrt`
8×	`frac-sub`
7×	`sqrt-prod`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`diff-log` `sum-log` `*-commutative` `distribute-lft-out--` `unswap-sqr`
2×	`sub-neg` `associate-+l+` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out`

Counts

4 → 100

Calls

4 calls:

8.0ms	(* (- (+ y t) 2.0) b)
14.0ms	(+ (- (- x (* (- y 1.0) z)) (* (* (- t 1.0) (sqrt a)) (sqrt a))) (* (- (+ y t) 2.0) b))
7.0ms	(* (- t 1.0) (sqrt a))
10.0ms	(* (* (- t 1.0) (sqrt a)) (sqrt a))

series68.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- (+ y t) 2.0) b)
50.0ms	(+ (- (- x (* (- y 1.0) z)) (* (* (- t 1.0) (sqrt a)) (sqrt a))) (* (- (+ y t) 2.0) b))
6.0ms	(* (- t 1.0) (sqrt a))
6.0ms	(* (* (- t 1.0) (sqrt a)) (sqrt a))

simplify41.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5045	2483

prune157.0ms

Filtered

82 candidates to 112 candidates (-36.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	112	4	116

Merged error: 0.0b

Counts

116 → 4

regimes543.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	348	21
1	348	21

end0.0ms

sample1.1s

Algorithm

intervals

Results

435.0ms	7995×	body	80	valid
232.0ms	4439×	body	80	invalid
1.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

analyze1.5s

sample44.0ms

simplify55.0ms

prune9.0ms

localize15.0ms

rewrite39.0ms

series80.0ms

simplify42.0ms

prune184.0ms

localize21.0ms

rewrite28.0ms

series127.0ms

simplify64.0ms

prune190.0ms

localize27.0ms

rewrite82.0ms

series130.0ms

simplify58.0ms

prune353.0ms

localize16.0ms

rewrite43.0ms

series68.0ms

simplify41.0ms

prune157.0ms

regimes543.0ms

bsearch0.0ms

simplify8.0ms

end0.0ms

sample1.1s

Profiling