Details

sample49.0ms

Algorithm

intervals

Results

25.0ms

383×

body

valid

simplify61.0ms

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

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

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)

rewrite42.0ms

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))
13.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
10.0ms	(* (- t 1.0) a)
9.0ms	(* (- (+ y t) 2.0) b)

series311.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
159.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
29.0ms	(* (- t 1.0) a)
27.0ms	(* (- (+ y t) 2.0) b)

simplify110.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	835	1467
1	4303	1416
2	5001	1416

prune350.0ms

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

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
11×	`flip3--` `flip--`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `frac-add`
6×	`associate-r`
4×	`associate-+l+` `times-frac` `associate-/r*` `frac-sub`
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 → 97

Calls

4 calls:

20.0ms	(+ (- (- x (* (- y 1.0) z)) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))) (* (- (+ y t) 2.0) b))
9.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(* (- (* t t) (* 1.0 1.0)) a)
10.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

series372.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(+ (- (- x (* (- y 1.0) z)) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))) (* (- (+ y t) 2.0) b))
27.0ms	(* (- (+ y t) 2.0) b)
47.0ms	(* (- (* t t) (* 1.0 1.0)) a)
58.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

simplify108.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	838	1378
1	4332	1282
2	5002	1282

prune333.0ms

Filtered

109 candidates to 77 candidates (70.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	109	5	114

Merged error: 0b

Counts

114 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(* (+ y t) (+ y t))
4.1b	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
13.2b	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

rewrite52.0ms

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:

7.0ms	(* (- t 1.0) a)
9.0ms	(* (+ y t) (+ y t))
16.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
17.0ms	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

series174.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (- t 1.0) a)
15.0ms	(* (+ y t) (+ y t))
52.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
72.0ms	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (75.0ms)

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

prune311.0ms

Filtered

124 candidates to 75 candidates (60.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	124	5	129

Merged error: 0b

Counts

129 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-div`
81×	`flip3--` `flip--`
72×	`associate-*l/`
64×	`frac-sub`
36×	`frac-times`
34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
21×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
6×	`associate-*r/`
5×	`pow-prod-up` `unswap-sqr`
4×	`pow-prod-down` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out` `difference-of-squares`

Counts

4 → 158

Calls

4 calls:

6.0ms	(sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
6.0ms	(sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
9.0ms	(* (- (+ y t) 2.0) b)
18.0ms	(* (sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))) (sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))))

series735.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
227.0ms	(sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
32.0ms	(* (- (+ y t) 2.0) b)
244.0ms	(* (sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))) (sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))))

simplify99.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	664	3913
1	2677	3748
2	5001	3716

prune563.0ms

Filtered

170 candidates to 102 candidates (60.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	170	5	175

Merged error: 0b

Counts

175 → 5

regimes219.0ms

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

sample1.2s

Algorithm

intervals

Results

753.0ms	12577×	body	80	valid
1.0ms	3×	body	640	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample49.0ms

simplify61.0ms

prune3.0ms

localize15.0ms

rewrite42.0ms

series311.0ms

simplify110.0ms

prune350.0ms

localize20.0ms

rewrite48.0ms

series372.0ms

simplify108.0ms

prune333.0ms

localize20.0ms

rewrite52.0ms

series174.0ms

simplify86.0ms

prune311.0ms

localize18.0ms

rewrite49.0ms

series735.0ms

simplify99.0ms

prune563.0ms

regimes219.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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