Details

sample57.0ms

Algorithm

intervals

Results

25.0ms

391×

body

valid

simplify37.0ms

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

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize14.0ms

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

rewrite35.0ms

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:

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

series63.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
4.0ms	(* (- t 1.0) a)
4.0ms	(* (- y 1.0) z)
7.0ms	(* (- (+ 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

prune701.0ms

Filtered

109 candidates to 75 candidates (31.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	4	110

Merged error: 0.0b

Counts

110 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y 1.0) z)
0.0b	(* (- (+ y t) 2.0) b)
3.6b	(* (- (* t t) (* 1.0 1.0)) a)
6.7b	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

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

series24.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- y 1.0) z)
7.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(* (- (* t t) (* 1.0 1.0)) a)
8.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	483	599
1	2282	503
2	5001	495

prune615.0ms

Filtered

105 candidates to 70 candidates (33.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`associate-r`
17×	`associate-l`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-cube-cbrt`
10×	`associate-*l/`
7×	`sqrt-prod`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`flip3--` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `unswap-sqr`
3×	`difference-of-squares`
1×	`distribute-lft-out`

Counts

4 → 94

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
6.0ms	(* (- y 1.0) z)
11.0ms	(* (- (+ y t) 2.0) (sqrt b))
11.0ms	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

series29.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- t 1.0) a)
4.0ms	(* (- y 1.0) z)
11.0ms	(* (- (+ y t) 2.0) (sqrt b))
10.0ms	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

simplify47.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	428	540
1	1800	456
2	5001	452

prune490.0ms

Filtered

106 candidates to 66 candidates (37.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	106	4	110

Merged error: 0.0b

Counts

110 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (- (+ y t) 2.0) b))
0.0b	(* (- (+ y t) 2.0) b)
0.0b	(* (- (+ y t) 2.0) b)
0.2b	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

6.0ms	(sqrt (* (- (+ y t) 2.0) b))
8.0ms	(* (- (+ y t) 2.0) b)
8.0ms	(* (- (+ y t) 2.0) b)
20.0ms	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (* (- (+ y t) 2.0) b))
6.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(* (- (+ y t) 2.0) b)
7.0ms	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

simplify46.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	268	722
1	1222	630
2	5001	608

prune361.0ms

Filtered

128 candidates to 70 candidates (45.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	128	4	132

Merged error: 0.0b

Counts

132 → 4

regimes549.0ms

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

sample1.4s

Algorithm

intervals

Results

696.0ms	12507×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid

Details

sample57.0ms

simplify37.0ms

prune6.0ms

localize14.0ms

rewrite35.0ms

series63.0ms

simplify107.0ms

prune701.0ms

localize21.0ms

rewrite30.0ms

series24.0ms

simplify58.0ms

prune615.0ms

localize16.0ms

rewrite36.0ms

series29.0ms

simplify47.0ms

prune490.0ms

localize16.0ms

rewrite47.0ms

series37.0ms

simplify46.0ms

prune361.0ms

regimes549.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

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