Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

395×

body

valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	10
1	112	10
2	384	10
3	1568	10
4	5001	10

prune3.0ms

Filtered

1 candidates to 0 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: 0.0b

Counts

2 → 1

localize17.0ms

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

rewrite36.0ms

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` `associate-+l+` `associate--l+`
3×	`sum-log` `distribute-lft-out--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

6.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
12.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms	(* (- y 1.0) z)
8.0ms	(* (- (+ y t) 2.0) b)

series290.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
145.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
31.0ms	(* (- y 1.0) z)
26.0ms	(* (- (+ y t) 2.0) b)

simplify111.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	851	1467
1	4347	1416
2	5001	1416

prune319.0ms

Filtered

107 candidates to 77 candidates (72.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	5	108

Merged error: 0b

Counts

108 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b	(* (- (+ y t) 2.0) b)
5.3b	(* (- (* y y) (* 1.0 1.0)) z)
6.3b	(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*l/`
19×	`flip3--` `*-un-lft-identity` `flip--`
16×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
12×	`frac-add`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `frac-sub`
6×	`associate-r`
4×	`associate-+l+` `times-frac` `associate-/r*`
3×	`diff-log` `prod-exp` `sum-log` `cbrt-unprod` `distribute-lft-out`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `div-exp` `pow-prod-down` `associate--l+` `associate-/r/` `*-commutative` `flip-+` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 101

Calls

4 calls:

16.0ms	(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
8.0ms	(* (- (+ y t) 2.0) b)
8.0ms	(* (- (* y y) (* 1.0 1.0)) z)
10.0ms	(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

series314.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
25.0ms	(* (- (+ y t) 2.0) b)
37.0ms	(* (- (* y y) (* 1.0 1.0)) z)
56.0ms	(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1013	1868
1	5001	1776

prune369.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0b

Counts

118 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

11.0ms	(+ (- (* 1.0 a) (+ (* z y) (* a t))) (* (- (+ y t) 2.0) b))
5.0ms	(- (* 1.0 a) (+ (* z y) (* a t)))
4.0ms	(+ (* z y) (* a t))
9.0ms	(* (- (+ y t) 2.0) b)

series197.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (- (* 1.0 a) (+ (* z y) (* a t))) (* (- (+ y t) 2.0) b))
49.0ms	(- (* 1.0 a) (+ (* z y) (* a t)))
33.0ms	(+ (* z y) (* a t))
29.0ms	(* (- (+ y t) 2.0) b)

simplify61.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	473	731
1	2204	695
2	5001	695

prune186.0ms

Filtered

80 candidates to 58 candidates (72.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	80	5	85

Merged error: 0b

Counts

85 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (+ y t) 2.0) b)
0.0b	(sqrt (* (- (+ y t) 2.0) b))
0.0b	(sqrt (* (- (+ y t) 2.0) b))
0.3b	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
15×	`*-un-lft-identity`
12×	`pow1/2`
10×	`add-cube-cbrt` `associate-l` `pow-prod-up`
9×	`flip3--` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out` `difference-of-squares`

Counts

4 → 106

Calls

4 calls:

11.0ms	(* (- (+ y t) 2.0) b)
7.0ms	(sqrt (* (- (+ y t) 2.0) b))
7.0ms	(sqrt (* (- (+ y t) 2.0) b))
19.0ms	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (- (+ y t) 2.0) b)
76.0ms	(sqrt (* (- (+ y t) 2.0) b))
79.0ms	(sqrt (* (- (+ y t) 2.0) b))
27.0ms	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

simplify48.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	270	693
1	1225	610
2	5003	588

prune265.0ms

Filtered

118 candidates to 66 candidates (55.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	118	5	123

Merged error: 0b

Counts

123 → 5

regimes210.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample984.0ms

Algorithm

intervals

Results

553.0ms	12464×	body	80	valid
0.0ms	2×	body	320	valid