Details

sample86.0ms

Algorithm

intervals

Results

38.0ms

385×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	38	21
2	112	21
3	374	21
4	1200	21
done	5001	21

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(- x (* (- 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)

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

23.0ms	(* (- t 1.0) a)
6.0ms	(- x (* (- y 1.0) z))
143.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
116.0ms	(* (- (+ y t) 2.0) b)

series359.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (- t 1.0) a)
43.0ms	(- x (* (- y 1.0) z))
241.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
30.0ms	(* (- (+ y t) 2.0) b)

simplify2.0s

Counts

99 → 99

Iterations

Useful iterations: 2 (561.0ms)

Iter	Nodes	Cost
0	238	2703
1	829	2484
2	4167	2398
done	5000	2398

prune509.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

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))

rewrite336.0ms

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:

170.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
62.0ms	(cbrt (* (- (+ y t) 2.0) b))
45.0ms	(cbrt (* (- (+ y t) 2.0) b))
57.0ms	(cbrt (* (- (+ y t) 2.0) b))

series680.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
154.0ms	(cbrt (* (- (+ y t) 2.0) b))
152.0ms	(cbrt (* (- (+ y t) 2.0) b))
177.0ms	(cbrt (* (- (+ y t) 2.0) b))

simplify2.0s

Counts

84 → 84

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	159	1864
1	383	1721
2	994	1572
3	3253	1315
done	5002	1247

prune579.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

11×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*l/` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
2×	`distribute-lft-out--`
1×	`distribute-lft-out` `difference-of-squares`

Counts

4 → 49

Calls

4 calls:

67.0ms	(cbrt (* (- (+ y t) 2.0) b))
76.0ms	(cbrt (* (- (+ y t) 2.0) b))
2.0ms	(cbrt b)
18.0ms	(cbrt (- (+ y t) 2.0))

series879.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (* (- (+ y t) 2.0) b))
191.0ms	(cbrt (* (- (+ y t) 2.0) b))
300.0ms	(cbrt b)
181.0ms	(cbrt (- (+ y t) 2.0))

simplify1.6s

Counts

61 → 61

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	155	895
1	363	861
2	857	802
3	2477	690
done	5000	668

prune523.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite297.0ms

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:

17.0ms	(sqrt (* (- t 1.0) a))
16.0ms	(sqrt (* (- t 1.0) a))
154.0ms	(* (- (+ y t) 2.0) b)
100.0ms	(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

series361.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(sqrt (* (- t 1.0) a))
148.0ms	(sqrt (* (- t 1.0) a))
34.0ms	(* (- (+ y t) 2.0) b)
57.0ms	(* (sqrt (* (- t 1.0) a)) (sqrt (* (- t 1.0) a)))

simplify3.8s

Counts

118 → 118

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	145	1418
1	305	1070
2	958	966
3	4225	926
done	5000	920

prune473.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes327.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	21
1	23	21
done	23	21

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s	12346×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	640	valid