Details

sample60.0ms

Algorithm

intervals

Results

29.0ms

271×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	23	17
2	37	17
3	65	17
4	102	17
5	138	17
6	164	17
7	233	17
8	515	17
9	1414	17
done	5000	17

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.8b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- t a))
0.9b	(+ (* x y) (* z (- t a)))
24.0b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-exp-log` `associate-+r+` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `distribute-rgt-in` `sub-neg` `distribute-lft-in`
5×	`associate-r`
4×	`flip3-+` `flip-+`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

12.0ms	(+ y (* z (- b y)))
42.0ms	(* z (- t a))
15.0ms	(+ (* x y) (* z (- t a)))
63.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series692.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ y (* z (- b y)))
56.0ms	(* z (- t a))
70.0ms	(+ (* x y) (* z (- t a)))
521.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify926.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (234.0ms)

Iter	Nodes	Cost
0	148	1497
1	381	1447
2	1465	1327
done	5000	1327

prune666.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 24.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.9b	(+ (* x y) (* z (- t a)))
1.7b	(+ (+ (* z b) y) (* (- y) z))
24.0b	(/ (+ (* x y) (* z (- t a))) (+ (+ (* z b) y) (* (- y) z)))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`add-log-exp`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`associate-r`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `flip3-+` `sum-log` `flip-+`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `distribute-lft-neg-out` `associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `associate-+l+` `flip3--` `frac-2neg` `div-exp` `unsub-neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

35.0ms	(* z (- t a))
15.0ms	(+ (* x y) (* z (- t a)))
53.0ms	(+ (+ (* z b) y) (* (- y) z))
106.0ms	(/ (+ (* x y) (* z (- t a))) (+ (+ (* z b) y) (* (- y) z)))

series722.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* z (- t a))
68.0ms	(+ (* x y) (* z (- t a)))
45.0ms	(+ (+ (* z b) y) (* (- y) z))
549.0ms	(/ (+ (* x y) (* z (- t a))) (+ (+ (* z b) y) (* (- y) z)))

simplify1.1s

Counts

99 → 99

Iterations

Useful iterations: 2 (267.0ms)

Iter	Nodes	Cost
0	150	1688
1	400	1637
2	1799	1452
done	5000	1452

prune709.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 24.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (- (+ (* z b) y) (* z y)))
0.9b	(+ (* x y) (* z (- t a)))
1.7b	(- (+ (* z b) y) (* z y))
23.8b	(* (+ (* x y) (* z (- t a))) (/ 1 (- (+ (* z b) y) (* z y))))

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube` `add-log-exp`
7×	`pow1`
4×	`associate-+r+` `div-exp` `prod-exp` `associate-/r/`
3×	`sub-neg` `flip3--` `flip3-+` `associate-l` `associate-/r` `flip--` `flip-+` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `rec-exp` `distribute-lft-in` `diff-log` `1-exp` `associate-*l/` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 104

Calls

4 calls:

69.0ms	(/ 1 (- (+ (* z b) y) (* z y)))
13.0ms	(+ (* x y) (* z (- t a)))
69.0ms	(- (+ (* z b) y) (* z y))
184.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (- (+ (* z b) y) (* z y))))

series690.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ 1 (- (+ (* z b) y) (* z y)))
67.0ms	(+ (* x y) (* z (- t a)))
39.0ms	(- (+ (* z b) y) (* z y))
498.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (- (+ (* z b) y) (* z y))))

simplify5.7s

Counts

116 → 116

Iterations

Useful iterations: done (5.7s)

Iter	Nodes	Cost
0	149	2230
1	415	2109
2	3292	1854
done	5001	1850

prune749.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 24.1b

localize49.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
24.0b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
24.0b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
24.0b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
7×	`flip3-+` `flip-+`
6×	`associate-/l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 117

Calls

4 calls:

13.0ms	(cbrt (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
51.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
53.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
57.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series2.9s

Counts

4 → 12

Calls

4 calls:

1.4s	(cbrt (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
489.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
502.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
500.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.2s

Counts

129 → 129

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	160	3474
1	370	3411
2	1236	3169
done	5000	3153

prune1.0s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 24.1b

regimes1.3s

Accuracy

0% (0.7b remaining)

Error of 23.3b against oracle of 22.6b and baseline of 23.3b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	20
1	25	20
2	29	20
3	30	20
done	30	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

939.0ms

8431×

body

valid