Details

sample142.0ms

Algorithm

intervals

Results

39.0ms	258×	body	80	nan
25.0ms	148×	body	160	valid
21.0ms	514×	pre	80	true
10.0ms	41×	body	320	valid
6.0ms	67×	body	80	valid

simplify133.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	75	16
4	88	16
5	96	16
done	96	16

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
37.1b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-sub` `associate-l` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 73

Calls

4 calls:

17.0ms	(- (* b b) (* (* 3.0 a) c))
22.0ms	(* (* 3.0 a) c)
105.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
36.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series365.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* b b) (* (* 3.0 a) c))
27.0ms	(* (* 3.0 a) c)
168.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
97.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	154	1437
1	410	1361
2	1547	1139
done	5000	1125

prune215.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.3b	(* 3.0 (* a c))
0.3b	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
80×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`add-cube-cbrt`
30×	`associate-/l*`
28×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
14×	`pow1`
10×	`distribute-rgt-neg-in` `sqrt-prod`
8×	`prod-exp` `associate-/r*` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down` `associate-/r/`
4×	`associate-r` `associate-l` `div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
16.0ms	(* 3.0 (* a c))
59.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
94.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series448.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* 3.0 a) c)
31.0ms	(* 3.0 (* a c))
225.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
166.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.5s

Counts

169 → 169

Iterations

Useful iterations: 2 (610.0ms)

Iter	Nodes	Cost
0	243	4718
1	603	4240
2	2593	3862
done	5002	3862

prune520.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.2b	(/ (/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0) a)
0.3b	(/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0)
0.3b	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

443×	`times-frac`
225×	`add-sqr-sqrt` `*-un-lft-identity`
153×	`add-cube-cbrt`
57×	`associate-/l*`
52×	`add-exp-log` `add-cbrt-cube`
36×	`distribute-lft-out--` `difference-of-squares`
34×	`associate-/r/`
23×	`div-inv`
22×	`cbrt-undiv` `div-exp`
18×	`distribute-rgt-neg-in` `sqrt-prod`
17×	`flip3--` `flip--`
13×	`associate-/r*`
12×	`prod-exp` `cbrt-unprod`
9×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `pow-prod-down` `clear-num`
2×	`associate-/l/`
1×	`associate-l` `*-commutative`

Counts

4 → 321

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
116.0ms	(/ (/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0) a)
92.0ms	(/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0)
62.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series822.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* 3.0 a) c)
187.0ms	(/ (/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0) a)
322.0ms	(/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0)
287.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify3.0s

Counts

333 → 333

Iterations

Useful iterations: 2 (1.7s)

Iter	Nodes	Cost
0	474	11798
1	1172	11072
2	4718	10356
done	5000	10356

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 3.0 (* a c))) (cbrt (* 3.0 (* a c))))
0.6b	(cbrt (* 3.0 (* a c)))
0.6b	(cbrt (* 3.0 (* a c)))
0.6b	(cbrt (* 3.0 (* a c)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

42.0ms	(* (cbrt (* 3.0 (* a c))) (cbrt (* 3.0 (* a c))))
18.0ms	(cbrt (* 3.0 (* a c)))
26.0ms	(cbrt (* 3.0 (* a c)))
11.0ms	(cbrt (* 3.0 (* a c)))

series621.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(* (cbrt (* 3.0 (* a c))) (cbrt (* 3.0 (* a c))))
118.0ms	(cbrt (* 3.0 (* a c)))
140.0ms	(cbrt (* 3.0 (* a c)))
150.0ms	(cbrt (* 3.0 (* a c)))

simplify3.0s

Counts

70 → 70

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	86	856
1	204	766
2	517	670
3	1376	586
4	3916	544
done	5000	509

prune247.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	16	23
done	16	23

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.2s	4828×	body	160	valid
666.0ms	8305×	body	80	nan
570.0ms	16305×	pre	80	true
300.0ms	1332×	body	320	valid
138.0ms	1840×	body	80	valid