Details

sample82.0ms

Algorithm

intervals

Results

44.0ms

411×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

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

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

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:

6.0ms	(* (- y 1.0) z)
6.0ms	(* (- t 1.0) a)
21.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
15.0ms	(* (- (+ y t) 2.0) b)

series228.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (- y 1.0) z)
29.0ms	(* (- t 1.0) a)
144.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
28.0ms	(* (- (+ y t) 2.0) b)

simplify107.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (20.0ms)

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

prune339.0ms

Filtered

109 candidates to 75 candidates (68.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	5	110

Merged error: 0b

Counts

110 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0)))
0.0b	(* (+ y t) (+ y t))
5.5b	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
10.1b	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

15.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0)))
8.0ms	(* (+ y t) (+ y t))
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))

series468.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0)))
13.0ms	(* (+ y t) (+ y t))
47.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
65.0ms	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	975	1495
1	5001	1383

prune341.0ms

Filtered

127 candidates to 80 candidates (63.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	127	5	132

Merged error: 0b

Counts

132 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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:

8.0ms	(* (- (+ y t) 2.0) b)
5.0ms	(sqrt (* (- t 1.0) a))
5.0ms	(sqrt (* (- t 1.0) a))
14.0ms	(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (- (+ y t) 2.0) b)
79.0ms	(sqrt (* (- t 1.0) a))
82.0ms	(sqrt (* (- t 1.0) a))
30.0ms	(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	308	583
1	1271	504
2	5003	486

prune313.0ms

Filtered

118 candidates to 66 candidates (55.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	118	5	123

Merged error: 0b

Counts

123 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b)))
0.1b	(* (- (+ y t) 2.0) (sqrt b))
0.2b	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

40×	`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`
4×	`associate-+l+`
3×	`diff-log` `sum-log` `*-commutative` `distribute-lft-out--` `unswap-sqr`
2×	`sub-neg` `associate--l+` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 102

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
13.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b)))
10.0ms	(* (- (+ y t) 2.0) (sqrt b))
12.0ms	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

series306.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- t 1.0) a)
176.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b)))
58.0ms	(* (- (+ y t) 2.0) (sqrt b))
40.0ms	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

simplify116.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	950	1488
1	4932	1382
2	5001	1374

prune344.0ms

Filtered

114 candidates to 79 candidates (69.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	114	5	119

Merged error: 0b

Counts

119 → 5

regimes215.0ms

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

sample1.1s

Algorithm

intervals

Results

647.0ms	12467×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample82.0ms

simplify60.0ms

prune5.0ms

localize26.0ms

rewrite52.0ms

series228.0ms

simplify107.0ms

prune339.0ms

localize19.0ms

rewrite57.0ms

series468.0ms

simplify41.0ms

prune341.0ms

localize17.0ms

rewrite40.0ms

series216.0ms

simplify46.0ms

prune313.0ms

localize16.0ms

rewrite45.0ms

series306.0ms

simplify116.0ms

prune344.0ms

regimes215.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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