Details

sample93.0ms

Algorithm

intervals

Results

38.0ms

433×

body

valid

simplify96.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
1	26	15
2	48	15
3	79	15
4	89	15
done	89	15

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

44.0ms	(+ (+ (* x y) (* z t)) (* a b))
13.0ms	(+ (* x y) (* z t))
184.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series411.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (+ (* x y) (* z t)) (* a b))
46.0ms	(+ (* x y) (* z t))
299.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify3.0s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	85	777
1	273	719
2	1074	689
3	4804	677
done	5000	677

prune143.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

137.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
23.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
16.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
16.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series770.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
178.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
163.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
139.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify1.6s

Counts

99 → 99

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	128	2784
1	308	2609
2	875	2429
3	2599	2144
done	5001	2071

prune556.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* a b) (* a b))
0.3b	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
2.3b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
26.8b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
3×	`flip3--` `pow-plus` `associate-/r*` `flip--`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

45.0ms	(* (* a b) (* a b))
49.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
44.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
119.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series1.1s

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* a b) (* a b))
76.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
632.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
328.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify1.6s

Counts

132 → 132

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	190	3679
1	552	3272
2	2502	2684
done	5001	2410

prune513.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (+ (* x y) (* z t)) (* x y))
2.5b	(+ (* (+ (* x y) (* z t)) (* x y)) (- (* (+ (* x y) (* z t)) (* z t)) (* (* a b) (* a b))))
2.5b	(* (+ (* x y) (* z t)) (* z t))
26.8b	(/ (+ (* (+ (* x y) (* z t)) (* x y)) (- (* (+ (* x y) (* z t)) (* z t)) (* (* a b) (* a b)))) (- (+ (* x y) (* z t)) (* a b)))

rewrite475.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

34.0ms	(* (+ (* x y) (* z t)) (* x y))
85.0ms	(+ (* (+ (* x y) (* z t)) (* x y)) (- (* (+ (* x y) (* z t)) (* z t)) (* (* a b) (* a b))))
43.0ms	(* (+ (* x y) (* z t)) (* z t))
310.0ms	(/ (+ (* (+ (* x y) (* z t)) (* x y)) (- (* (+ (* x y) (* z t)) (* z t)) (* (* a b) (* a b)))) (- (+ (* x y) (* z t)) (* a b)))

series1.1s

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (+ (* x y) (* z t)) (* x y))
645.0ms	(+ (* (+ (* x y) (* z t)) (* x y)) (- (* (+ (* x y) (* z t)) (* z t)) (* (* a b) (* a b))))
140.0ms	(* (+ (* x y) (* z t)) (* z t))
249.0ms	(/ (+ (* (+ (* x y) (* z t)) (* x y)) (- (* (+ (* x y) (* z t)) (* z t)) (* (* a b) (* a b)))) (- (+ (* x y) (* z t)) (* a b)))

simplify1.7s

Counts

107 → 107

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	208	4461
1	616	3731
2	2998	3458
done	5002	3167

prune515.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes602.0ms

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	15	15
1	22	15
done	22	15

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s

13608×

body

valid