Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

403×

body

valid

simplify39.0ms

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

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

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

series249.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
27.0ms	(* (- y 1.0) z)
34.0ms	(* (- t 1.0) a)
27.0ms	(* (- (+ y t) 2.0) b)

simplify110.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	886	1273
1	4545	1219
2	5001	1219

prune322.0ms

Filtered

109 candidates to 75 candidates (68.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ y t) (+ y t))
0.0b	(* (- t 1.0) a)
6.3b	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
12.9b	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt`
13×	`associate-l`
12×	`distribute-lft-out`
10×	`associate-r`
8×	`associate-*l/`
7×	`flip3-+` `flip-+`
6×	`swap-sqr`
5×	`times-frac` `associate-/r*`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`flip3--` `pow-prod-down` `*-commutative` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/r/` `associate-/l/` `difference-of-squares`
1×	`pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*` `distribute-lft-out--`

Counts

4 → 112

Calls

4 calls:

8.0ms	(* (+ y t) (+ y t))
10.0ms	(* (- t 1.0) a)
11.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
16.0ms	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

series158.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ y t) (+ y t))
28.0ms	(* (- t 1.0) a)
49.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
68.0ms	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	579	851
1	2884	734
2	5001	730

prune428.0ms

Filtered

124 candidates to 75 candidates (60.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	124	3	127

Merged error: 0b

Counts

127 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
25×	`associate-l`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`associate-*l/`
11×	`add-cube-cbrt`
10×	`associate-r`
8×	`sqrt-prod`
6×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `difference-of-squares`
5×	`distribute-lft-out--`
4×	`frac-times` `*-commutative` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out` `unswap-sqr`
2×	`associate-*r/`

Counts

4 → 99

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
8.0ms	(* (- (+ y t) 2.0) b)
9.0ms	(* (- (sqrt y) (sqrt 1.0)) z)
15.0ms	(* (+ (sqrt y) (sqrt 1.0)) (* (- (sqrt y) (sqrt 1.0)) z))

series512.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- t 1.0) a)
27.0ms	(* (- (+ y t) 2.0) b)
105.0ms	(* (- (sqrt y) (sqrt 1.0)) z)
352.0ms	(* (+ (sqrt y) (sqrt 1.0)) (* (- (sqrt y) (sqrt 1.0)) z))

simplify73.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	607	790
1	2757	637
2	5001	629

prune329.0ms

Filtered

111 candidates to 74 candidates (66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	111	3	114

Merged error: 0b

Counts

114 → 3

regimes178.0ms

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

sample1000.0ms

Algorithm

intervals

Results

558.0ms	12483×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid