Details

sample37.0ms

Algorithm

intervals

Results

19.0ms

376×

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
16×	`associate-l`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-r`
6×	`associate-*l/` `add-log-exp`
4×	`flip3--` `flip--` `distribute-lft-out--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `diff-log` `distribute-lft-out`

Counts

4 → 79

Calls

4 calls:

10.0ms	(* (- t 1.0) a)
2.0ms	(- x (* (- y 1.0) z))
10.0ms	(* (- y 1.0) z)
53.0ms	(* (- (+ y t) 2.0) b)

series111.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- t 1.0) a)
26.0ms	(- x (* (- y 1.0) z))
30.0ms	(* (- y 1.0) z)
26.0ms	(* (- (+ y t) 2.0) b)

simplify39.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	361	390
1	1363	339
2	5001	339

prune235.0ms

Filtered

91 candidates to 59 candidates (64.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
24×	`sqrt-prod`
16×	`associate-l`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/` `distribute-lft-out`
8×	`add-log-exp` `difference-of-squares`
7×	`add-cube-cbrt`
6×	`distribute-lft-out--`
5×	`flip3--` `flip--`
4×	`frac-times` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

18.0ms	(+ (sqrt (+ y t)) (sqrt 2.0))
21.0ms	(- (sqrt (+ y t)) (sqrt 2.0))
136.0ms	(* (+ (sqrt (+ y t)) (sqrt 2.0)) (* (- (sqrt (+ y t)) (sqrt 2.0)) b))
67.0ms	(* (- (sqrt (+ y t)) (sqrt 2.0)) b)

series662.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (sqrt (+ y t)) (sqrt 2.0))
63.0ms	(- (sqrt (+ y t)) (sqrt 2.0))
413.0ms	(* (+ (sqrt (+ y t)) (sqrt 2.0)) (* (- (sqrt (+ y t)) (sqrt 2.0)) b))
132.0ms	(* (- (sqrt (+ y t)) (sqrt 2.0)) b)

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	460	956
1	1960	772
2	5001	763

prune337.0ms

Filtered

101 candidates to 70 candidates (69.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

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:

53.0ms	(* (- (+ y t) 2.0) b)
4.0ms	(sqrt (* (- t 1.0) a))
4.0ms	(sqrt (* (- t 1.0) a))
28.0ms	(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- (+ y t) 2.0) b)
79.0ms	(sqrt (* (- t 1.0) a))
75.0ms	(sqrt (* (- t 1.0) a))
32.0ms	(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	308	595
1	1299	504
2	5001	486

prune298.0ms

Filtered

118 candidates to 66 candidates (55.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes212.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample976.0ms

Algorithm

intervals

Results

556.0ms	12416×	body	80	valid
1.0ms	5×	body	320	valid
0.0ms	1×	body	1280	valid