Details

sample51.0ms

Algorithm

intervals

Results

15.0ms	270×	body	80	valid
14.0ms	241×	body	80	nan

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	285
1	24	285
2	62	285
3	176	285
4	318	285
5	435	285
6	645	285
7	959	285
8	1615	285
9	2920	285
done	5006	285

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* 3.0 (sqrt x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.5b	(/ 1.0 (* x 9.0))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

8.0ms	(+ y (/ 1.0 (* x 9.0)))
7.0ms	(* 3.0 (sqrt x))
132.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms	(/ 1.0 (* x 9.0))

series237.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ y (/ 1.0 (* x 9.0)))
54.0ms	(* 3.0 (sqrt x))
107.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
35.0ms	(/ 1.0 (* x 9.0))

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	178	23343
1	481	20521
2	1638	19996
done	5009	19756

prune526.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.5b	(/ 1.0 (* x 9.0))

rewrite465.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

16.0ms	(+ y (/ 1.0 (* x 9.0)))
253.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
184.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
7.0ms	(/ 1.0 (* x 9.0))

series269.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ y (/ 1.0 (* x 9.0)))
109.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
90.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
31.0ms	(/ 1.0 (* x 9.0))

simplify2.0s

Counts

110 → 110

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	177	31220
1	459	28812
2	1617	28369
done	5008	28209

prune605.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))
0.2b	(* (sqrt x) y)
0.3b	(* 3.0 (+ (* (sqrt x) y) (* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))))
0.5b	(/ 1.0 (* x 9.0))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

83.0ms	(* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))
15.0ms	(* (sqrt x) y)
31.0ms	(* 3.0 (+ (* (sqrt x) y) (* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))))
10.0ms	(/ 1.0 (* x 9.0))

series322.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))
94.0ms	(* (sqrt x) y)
129.0ms	(* 3.0 (+ (* (sqrt x) y) (* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))))
22.0ms	(/ 1.0 (* x 9.0))

simplify2.3s

Counts

108 → 108

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	200	29054
1	537	25020
2	1893	24538
done	5001	24458

prune646.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* 3.0 (sqrt x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.5b	(/ 1.0 (* x 9.0))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

17.0ms	(+ y (/ 1.0 (* x 9.0)))
14.0ms	(* 3.0 (sqrt x))
163.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms	(/ 1.0 (* x 9.0))

series238.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ y (/ 1.0 (* x 9.0)))
72.0ms	(* 3.0 (sqrt x))
92.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
28.0ms	(/ 1.0 (* x 9.0))

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	178	23343
1	481	20521
2	1638	19996
done	5009	19756

prune403.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes329.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	325
1	18	325
done	18	325

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.0s	8435×	body	80	nan
613.0ms	8527×	body	80	valid