Details

sample31.0ms

Algorithm

intervals

Results

11.0ms	293×	body	80	valid
1.0ms	9×	body	320	valid
1.0ms	6×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1693
4	517
3	160
2	48
1	21
0	12

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

16.0ms	(- (/ 2.0 3.0) z)
16.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
33.0ms	(* (- y x) 6.0)
86.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series278.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ 2.0 3.0) z)
101.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
62.0ms	(* (- y x) 6.0)
87.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	2315
1	450
0	156

prune518.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x) (* (* (- y x) 6.0) (- z)))
0.0b	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x)
0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) (- z))

rewrite361.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
13×	`add-sqr-sqrt` `associate-r`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-log-exp`
9×	`add-cube-cbrt`
6×	`associate-l`
4×	`sum-log` `flip3-+` `flip3--` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `flip--`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`+-commutative` `*-commutative`
1×	`associate-+l+` `neg-mul-1` `unsub-neg` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

201.0ms	(+ (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x) (* (* (- y x) 6.0) (- z)))
48.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x)
36.0ms	(* (- y x) 6.0)
74.0ms	(* (* (- y x) 6.0) (- z))

series275.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(+ (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x) (* (* (- y x) 6.0) (- z)))
74.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x)
46.0ms	(* (- y x) 6.0)
44.0ms	(* (* (- y x) 6.0) (- z))

simplify1.7s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2680
1	510
0	164

prune600.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x) (pow (* (- (* 6.0 z)) (- y x)) 1))
0.0b	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x)
0.2b	(* (- (* 6.0 z)) (- y x))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`associate-l`
5×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
4×	`sum-log`
2×	`distribute-rgt-in` `+-commutative` `sub-neg` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `associate-+l+` `neg-mul-1` `distribute-rgt-neg-in` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

199.0ms	(+ (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x) (pow (* (- (* 6.0 z)) (- y x)) 1))
35.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x)
30.0ms	(* (- (* 6.0 z)) (- y x))

series245.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x) (pow (* (- (* 6.0 z)) (- y x)) 1))
57.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x)
84.0ms	(* (- (* 6.0 z)) (- y x))

simplify1.0s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1791
1	342
0	115

prune445.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

9.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

337.0ms	(* (cbrt z) (cbrt z))
337.0ms	(cbrt z)
236.0ms	(cbrt z)
351.0ms	(cbrt z)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune535.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes529.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify16.0ms

Iterations

Iter	Nodes
done	38
3	38
2	37
1	31
0	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

653.0ms	9264×	body	80	valid
89.0ms	264×	body	640	valid
74.0ms	199×	body	320	valid
35.0ms	137×	body	1280	valid
12.0ms	122×	body	160	valid