Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

288×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	24	13
2	46	13
3	72	13
4	132	13
5	225	13
6	453	13
7	1085	13
8	2845	13
done	5000	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `associate-+l+` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `associate-*l/` `frac-sub` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 29

Calls

2 calls:

23.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
114.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

series139.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
68.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify1.6s

Counts

35 → 35

Iterations

Useful iterations: 3 (491.0ms)

Iter	Nodes	Cost
0	71	602
1	188	568
2	619	540
3	2664	530
done	5001	530

prune132.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 1.0 8.0) x) (- t (/ (* y z) 2.0)))
0.0b	(- t (/ (* y z) 2.0))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `associate-+r+` `flip3--` `diff-log` `associate-*l/` `frac-add` `sum-log` `add-cbrt-cube` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

59.0ms	(+ (* (/ 1.0 8.0) x) (- t (/ (* y z) 2.0)))
14.0ms	(- t (/ (* y z) 2.0))

series137.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+ (* (/ 1.0 8.0) x) (- t (/ (* y z) 2.0)))
56.0ms	(- t (/ (* y z) 2.0))

simplify1.9s

Counts

37 → 37

Iterations

Useful iterations: 3 (663.0ms)

Iter	Nodes	Cost
0	76	618
1	221	574
2	777	548
3	3459	540
done	5000	540

prune124.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) t)
0.2b	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
3.3b	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
26.7b	(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

rewrite818.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log` `add-cbrt-cube`
38×	`associate-*l/`
24×	`times-frac`
23×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`frac-sub`
15×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp`
11×	`pow1` `associate-/l/`
8×	`add-log-exp`
7×	`swap-sqr` `associate-r` `associate-l`
5×	`div-inv` `difference-of-squares`
4×	`associate-/l*`
3×	`associate-/r*` `associate-/r/`
2×	`flip3--` `flip3-+` `div-sub` `flip--` `flip-+`
1×	`+-commutative` `pow2` `associate-+l-` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `pow-prod-down` `frac-add` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `distribute-lft-out` `unswap-sqr`

Counts

4 → 137

Calls

4 calls:

471.0ms	(+ (/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) t)
35.0ms	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
79.0ms	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
227.0ms	(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(+ (/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) t)
46.0ms	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
147.0ms	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
125.0ms	(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify682.0ms

Counts

149 → 149

Iterations

Useful iterations: done (673.0ms)

Iter	Nodes	Cost
0	255	4611
1	835	4215
done	5000	3841

prune535.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b	(+ (* (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (/ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) t)
0.0b	(* (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (/ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.0b	(/ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
16×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
9×	`associate-*l/`
8×	`add-log-exp`
6×	`pow1` `flip3-+` `associate-/r/` `flip-+`
5×	`frac-add`
3×	`frac-times` `associate-l` `associate-/r` `associate-/l/` `associate-/l`
2×	`cbrt-undiv` `+-commutative` `div-exp` `prod-exp` `sum-log` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `frac-sub` `flip--`

Counts

4 → 98

Calls

4 calls:

22.0ms	(+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
53.0ms	(+ (* (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (/ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) t)
179.0ms	(* (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (/ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
73.0ms	(/ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
68.0ms	(+ (* (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (/ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) t)
60.0ms	(* (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (/ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
93.0ms	(/ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify2.2s

Counts

110 → 110

Iterations

Useful iterations: 2 (368.0ms)

Iter	Nodes	Cost
0	160	4049
1	482	3935
2	3164	3603
done	5000	3603

prune419.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	16	13
done	16	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

618.0ms	9088×	body	80	valid
1.0ms	2×	body	2560	valid
1.0ms	2×	body	1280	valid