Details

sample65.0ms

Algorithm

intervals

Results

30.0ms

431×

body

valid

simplify38.0ms

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

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

rewrite34.0ms

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))
6.0ms	(* (- y 1.0) z)
11.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
8.0ms	(* (- (+ y t) 2.0) b)

series82.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
4.0ms	(* (- y 1.0) z)
47.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
7.0ms	(* (- (+ y t) 2.0) b)

simplify124.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (31.0ms)

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

prune162.0ms

Filtered

77 candidates to 107 candidates (-39.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	2	108

Merged error: 0.0b

Counts

108 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (+ y t) 2.0) b)
0.1b	(sqrt (* (- (+ y t) 2.0) b))
0.1b	(sqrt (* (- (+ y t) 2.0) b))
0.3b	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

rewrite44.0ms

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)
7.0ms	(sqrt (* (- (+ y t) 2.0) b))
6.0ms	(sqrt (* (- (+ y t) 2.0) b))
17.0ms	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- (+ y t) 2.0) b)
17.0ms	(sqrt (* (- (+ y t) 2.0) b))
18.0ms	(sqrt (* (- (+ y t) 2.0) b))
6.0ms	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (+ y t) 2.0) b)))

simplify45.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	268	683
1	1201	618
2	5001	596

prune148.0ms

Filtered

68 candidates to 118 candidates (-73.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	118	2	120

Merged error: 0.0b

Counts

120 → 2

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)))
1.5b	(/ (* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b))) (sqrt (+ (+ y t) 2.0)))
4.0b	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
6.1b	(sqrt (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

19.0ms	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)))
27.0ms	(/ (* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b))) (sqrt (+ (+ y t) 2.0)))
11.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
10.0ms	(sqrt (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b))

series273.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)))
121.0ms	(/ (* (sqrt (* (- (+ y t) 2.0) b)) (sqrt (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b))) (sqrt (+ (+ y t) 2.0)))
13.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
29.0ms	(sqrt (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b))

simplify80.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	662	1764
1	2877	1644
2	5001	1632

prune270.0ms

Filtered

92 candidates to 122 candidates (-32.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	122	2	124

Merged error: 0.0b

Counts

124 → 2

regimes447.0ms

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

684.0ms	12549×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample65.0ms

simplify38.0ms

prune4.0ms

localize14.0ms

rewrite34.0ms

series82.0ms

simplify124.0ms

prune162.0ms

localize16.0ms

rewrite44.0ms

series48.0ms

simplify45.0ms

prune148.0ms

localize26.0ms

rewrite71.0ms

series273.0ms

simplify80.0ms

prune270.0ms

regimes447.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling