Details

sample35.0ms

Algorithm

intervals

Results

16.0ms

378×

body

valid

simplify36.0ms

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

localize17.0ms

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

rewrite36.0ms

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:

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

series293.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
89.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
30.0ms	(* (- (+ y t) 2.0) b)
27.0ms	(* (- y 1.0) z)

simplify106.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	851	1467
1	4347	1416
2	5001	1416

prune308.0ms

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: 0.0b

Counts

108 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
0.6b	(cbrt (* (- (+ y t) 2.0) b))
0.6b	(cbrt (* (- (+ y t) 2.0) b))
0.6b	(cbrt (* (- (+ y t) 2.0) b))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
7.0ms	(cbrt (* (- (+ y t) 2.0) b))
7.0ms	(cbrt (* (- (+ y t) 2.0) b))
9.0ms	(cbrt (* (- (+ y t) 2.0) b))

series463.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
109.0ms	(cbrt (* (- (+ y t) 2.0) b))
109.0ms	(cbrt (* (- (+ y t) 2.0) b))
109.0ms	(cbrt (* (- (+ y t) 2.0) b))

simplify41.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	383	977
1	1181	908
2	5002	822

prune337.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- x (/ (* (- (pow y 3) (pow 1.0 3)) z) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))) (* (- t 1.0) a))
0.0b	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
2.9b	(* (- (pow y 3) (pow 1.0 3)) z)
12.5b	(/ (* (- (pow y 3) (pow 1.0 3)) z) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
25×	`associate-l`
18×	`*-un-lft-identity`
16×	`difference-of-squares`
14×	`add-log-exp`
12×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `associate-*l/` `sqr-pow`
7×	`flip3--` `flip--`
6×	`pow1`
5×	`distribute-lft-out--`
4×	`frac-sub`
3×	`times-frac` `diff-log` `associate-r` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `div-exp` `prod-exp` `associate--l+` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`difference-cubes` `+-commutative` `associate--l-` `associate-+r+` `frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

13.0ms	(- (- x (/ (* (- (pow y 3) (pow 1.0 3)) z) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))) (* (- t 1.0) a))
6.0ms	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
16.0ms	(* (- (pow y 3) (pow 1.0 3)) z)
22.0ms	(/ (* (- (pow y 3) (pow 1.0 3)) z) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

series349.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(- (- x (/ (* (- (pow y 3) (pow 1.0 3)) z) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))) (* (- t 1.0) a))
20.0ms	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
36.0ms	(* (- (pow y 3) (pow 1.0 3)) z)
77.0ms	(/ (* (- (pow y 3) (pow 1.0 3)) z) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

simplify84.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	667	1341
1	3068	1201
2	5001	1195

prune410.0ms

Filtered

112 candidates to 79 candidates (70.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	112	5	117

Merged error: 0.0b

Counts

117 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

6.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
6.0ms	(* (- y 1.0) z)
9.0ms	(* (sqrt (- (+ y t) 2.0)) b)
16.0ms	(* (sqrt (- (+ y t) 2.0)) (* (sqrt (- (+ y t) 2.0)) b))

series274.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
31.0ms	(* (- y 1.0) z)
104.0ms	(* (sqrt (- (+ y t) 2.0)) b)
49.0ms	(* (sqrt (- (+ y t) 2.0)) (* (sqrt (- (+ y t) 2.0)) b))

simplify68.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	670	915
1	2534	804
2	5001	804

prune306.0ms

Filtered

113 candidates to 76 candidates (67.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

regimes226.0ms

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

sample982.0ms

Algorithm

intervals

Results

556.0ms	12472×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

sample35.0ms

simplify36.0ms

prune3.0ms

localize17.0ms

rewrite36.0ms

series293.0ms

simplify106.0ms

prune308.0ms

localize18.0ms

rewrite37.0ms

series463.0ms

simplify41.0ms

prune337.0ms

localize32.0ms

rewrite61.0ms

series349.0ms

simplify84.0ms

prune410.0ms

localize17.0ms

rewrite41.0ms

series274.0ms

simplify68.0ms

prune306.0ms

regimes226.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample982.0ms

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