Details

sample66.0ms

Algorithm

intervals

Results

26.0ms

360×

body

valid

simplify136.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	56	13
3	93	13
4	108	13
5	109	13
done	109	13

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a (+ t (* z b))) (+ x (* y z)))
0.0b	(+ t (* z b))
0.0b	(+ x (* y z))
2.9b	(* a (+ t (* z b)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
8×	`add-sqr-sqrt` `flip3-+` `flip-+`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r/` `add-cbrt-cube`
5×	`sum-log`
4×	`frac-add`
3×	`+-commutative` `associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

23.0ms	(+ (* a (+ t (* z b))) (+ x (* y z)))
11.0ms	(+ t (* z b))
12.0ms	(+ x (* y z))
30.0ms	(* a (+ t (* z b)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (* a (+ t (* z b))) (+ x (* y z)))
51.0ms	(+ t (* z b))
48.0ms	(+ x (* y z))
102.0ms	(* a (+ t (* z b)))

simplify922.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (259.0ms)

Iter	Nodes	Cost
0	123	1096
1	402	1010
2	1647	960
done	5000	960

prune262.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
6.2b	(* (* a z) b)

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

28.0ms	(+ (+ x (* y z)) (* t a))
115.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
8.0ms	(+ x (* y z))
19.0ms	(* (* a z) b)

series242.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (+ x (* y z)) (* t a))
120.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
29.0ms	(+ x (* y z))
31.0ms	(* (* a z) b)

simplify1.0s

Counts

68 → 68

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	115	854
1	330	787
2	1415	703
done	5000	695

prune249.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* z b) (* z b))
2.2b	(- (* t t) (* (* z b) (* z b)))
2.9b	(* a (/ (- (* t t) (* (* z b) (* z b))) (- t (* z b))))
21.5b	(/ (- (* t t) (* (* z b) (* z b))) (- t (* z b)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
27×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-r`
18×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
8×	`difference-of-squares`
6×	`add-log-exp`
4×	`flip3--` `associate-l` `associate-/r/` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`cbrt-undiv` `pow-plus` `div-exp` `*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/` `swap-sqr` `clear-num`

Counts

4 → 120

Calls

4 calls:

44.0ms	(* (* z b) (* z b))
14.0ms	(- (* t t) (* (* z b) (* z b)))
63.0ms	(* a (/ (- (* t t) (* (* z b) (* z b))) (- t (* z b))))
39.0ms	(/ (- (* t t) (* (* z b) (* z b))) (- t (* z b)))

series413.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* z b) (* z b))
85.0ms	(- (* t t) (* (* z b) (* z b)))
187.0ms	(* a (/ (- (* t t) (* (* z b) (* z b))) (- t (* z b))))
107.0ms	(/ (- (* t t) (* (* z b) (* z b))) (- t (* z b)))

simplify1.1s

Counts

132 → 132

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	163	2472
1	432	2261
2	1645	1599
done	5000	1597

prune433.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* z b) (* z b))
2.2b	(- (* t t) (* (* z b) (* z b)))
5.4b	(* a (- (* t t) (* (* z b) (* z b))))
19.0b	(* (* a (- (* t t) (* (* z b) (* z b)))) (/ 1 (- t (* z b))))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
40×	`add-exp-log`
30×	`add-cbrt-cube`
21×	`pow-prod-down` `prod-exp`
20×	`associate-r`
15×	`add-sqr-sqrt` `cbrt-unprod`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`associate-*r/`
6×	`add-log-exp`
5×	`flip3--` `associate-l` `flip--`
4×	`div-exp` `pow-sqr` `pow-prod-up`
3×	`sub-neg` `*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `rec-exp` `distribute-lft-in` `pow-plus` `1-exp` `associate-*l/` `associate-/r/` `difference-of-squares`
1×	`pow2` `diff-log` `swap-sqr` `un-div-inv` `div-inv` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

40.0ms	(* (* z b) (* z b))
16.0ms	(- (* t t) (* (* z b) (* z b)))
30.0ms	(* a (- (* t t) (* (* z b) (* z b))))
70.0ms	(* (* a (- (* t t) (* (* z b) (* z b)))) (/ 1 (- t (* z b))))

series518.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* z b) (* z b))
96.0ms	(- (* t t) (* (* z b) (* z b)))
187.0ms	(* a (- (* t t) (* (* z b) (* z b))))
192.0ms	(* (* a (- (* t t) (* (* z b) (* z b)))) (/ 1 (- t (* z b))))

simplify1.1s

Counts

128 → 128

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	179	2320
1	470	2057
2	1728	1641
done	5001	1411

prune370.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes294.0ms

Accuracy

85.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.6b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	23	77
1	37	65
done	37	65

end0.0ms

sample2.0s

Algorithm

intervals

Results

741.0ms

11787×

body

valid