Details

sample58.0ms

Algorithm

intervals

Results

26.0ms

391×

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

prune4.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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:

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

series83.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- (+ y t) 2.0) b)
4.0ms	(* (- y 1.0) z)
4.0ms	(* (- t 1.0) a)
69.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

simplify104.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	886	1273
1	4545	1219
2	5002	1219

prune177.0ms

Filtered

109 candidates to 75 candidates (31.2%)

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: 0.0b

Counts

110 → 5

localize18.0ms

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)) (cbrt (pow (* (- (+ y t) 2.0) b) 3)))
0.2b	(pow (* (- (+ y t) 2.0) b) 3)
37.1b	(cbrt (pow (* (- (+ y t) 2.0) b) 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*l/`
19×	`flip3--` `flip--`
16×	`cube-div`
14×	`cbrt-div`
13×	`add-log-exp`
12×	`add-sqr-sqrt` `*-un-lft-identity` `frac-add`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt` `frac-sub`
5×	`associate-l`
4×	`associate-+l+`
3×	`pow-unpow` `diff-log` `associate-r` `sum-log`
2×	`cube-mult` `sub-neg` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `associate--l+` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+l-` `flip3-+` `pow1/3` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
14.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (cbrt (pow (* (- (+ y t) 2.0) b) 3)))
8.0ms	(pow (* (- (+ y t) 2.0) b) 3)
5.0ms	(cbrt (pow (* (- (+ y t) 2.0) b) 3))

series81.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- t 1.0) a)
46.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (cbrt (pow (* (- (+ y t) 2.0) b) 3)))
24.0ms	(pow (* (- (+ y t) 2.0) b) 3)
7.0ms	(cbrt (pow (* (- (+ y t) 2.0) b) 3))

simplify99.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	760	1445
1	3964	1362
2	5001	1361

prune207.0ms

Filtered

108 candidates to 76 candidates (29.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	108	5	113

Merged error: 0.0b

Counts

113 → 5

localize15.0ms

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)) (* (sqrt (- (+ y t) 2.0)) (* (sqrt (- (+ y t) 2.0)) b)))
0.1b	(* (sqrt (- (+ y t) 2.0)) b)
0.1b	(* (sqrt (- (+ y t) 2.0)) (* (sqrt (- (+ y t) 2.0)) b))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

92×	`associate-*l/`
86×	`sqrt-div`
84×	`flip3--` `flip--`
48×	`frac-add`
32×	`frac-sub`
28×	`frac-times`
23×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*`
14×	`associate-*r/`
13×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
11×	`add-cube-cbrt`
7×	`associate-r`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
4×	`associate-+l+`
3×	`diff-log` `sum-log` `*-commutative` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate--l+` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

4 → 147

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
12.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (sqrt (- (+ y t) 2.0)) (* (sqrt (- (+ y t) 2.0)) b)))
9.0ms	(* (sqrt (- (+ y t) 2.0)) b)
17.0ms	(* (sqrt (- (+ y t) 2.0)) (* (sqrt (- (+ y t) 2.0)) b))

series143.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- t 1.0) a)
93.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (sqrt (- (+ y t) 2.0)) (* (sqrt (- (+ y t) 2.0)) b)))
23.0ms	(* (sqrt (- (+ y t) 2.0)) b)
22.0ms	(* (sqrt (- (+ y t) 2.0)) (* (sqrt (- (+ y t) 2.0)) b))

simplify86.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1366	4504
1	5002	4369

prune371.0ms

Filtered

159 candidates to 104 candidates (34.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	159	5	164

Merged error: 0.0b

Counts

164 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

80×	`associate-*l/`
68×	`flip3--` `flip--`
62×	`sqrt-div`
36×	`frac-add`
32×	`frac-sub`
23×	`add-sqr-sqrt`
21×	`associate-l`
20×	`frac-times`
17×	`*-un-lft-identity`
13×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
11×	`add-cube-cbrt` `sqrt-prod`
10×	`associate-*r/`
7×	`associate-r`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-+l+`
3×	`diff-log` `sum-log` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate--l+`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

4 → 133

Calls

4 calls:

8.0ms	(* (- y 1.0) z)
15.0ms	(+ (- (- x (* (- y 1.0) z)) (* (sqrt (- t 1.0)) (* (sqrt (- t 1.0)) a))) (* (- (+ y t) 2.0) b))
7.0ms	(* (sqrt (- t 1.0)) a)
11.0ms	(* (sqrt (- t 1.0)) (* (sqrt (- t 1.0)) a))

series81.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- y 1.0) z)
53.0ms	(+ (- (- x (* (- y 1.0) z)) (* (sqrt (- t 1.0)) (* (sqrt (- t 1.0)) a))) (* (- (+ y t) 2.0) b))
12.0ms	(* (sqrt (- t 1.0)) a)
11.0ms	(* (sqrt (- t 1.0)) (* (sqrt (- t 1.0)) a))

simplify65.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1673	3579
1	5002	3491

prune500.0ms

Filtered

145 candidates to 114 candidates (21.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	145	5	150

Merged error: 0.0b

Counts

150 → 5

regimes575.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

671.0ms	12468×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample58.0ms

simplify39.0ms

prune4.0ms

localize13.0ms

rewrite36.0ms

series83.0ms

simplify104.0ms

prune177.0ms

localize18.0ms

rewrite38.0ms

series81.0ms

simplify99.0ms

prune207.0ms

localize15.0ms

rewrite55.0ms

series143.0ms

simplify86.0ms

prune371.0ms

localize15.0ms

rewrite49.0ms

series81.0ms

simplify65.0ms

prune500.0ms

regimes575.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

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