Details

sample18.0ms

Algorithm

intervals

Results

6.0ms

328×

body

valid

simplify18.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	28	3
3	40	3
4	50	3
5	73	3
6	102	3
7	118	3
8	145	3
9	174	3
10	190	3
11	190	3
done	190	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) z)
0.0b	(+ x (/ (- y x) z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

15.0ms	(/ (- y x) z)
20.0ms	(+ x (/ (- y x) z))

series56.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (- y x) z)
29.0ms	(+ x (/ (- y x) z))

simplify59.0ms

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	221	273
1	676	261
2	2904	261
3	5002	261
done	5002	261

prune101.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ y z))
0.0b	(- (+ x (/ y z)) (/ x z))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

10.0ms	(+ x (/ y z))
84.0ms	(- (+ x (/ y z)) (/ x z))

series40.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ x (/ y z))
23.0ms	(- (+ x (/ y z)) (/ x z))

simplify42.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	163	232
1	498	222
2	1742	217
3	5001	217
done	5001	217

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ 1 z)))
0.2b	(* (- y x) (/ 1 z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-times` `flip3--` `div-exp` `associate-*l/` `flip--` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 53

Calls

2 calls:

7.0ms	(+ x (* (- y x) (/ 1 z)))
28.0ms	(* (- y x) (/ 1 z))

series54.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ x (* (- y x) (/ 1 z)))
28.0ms	(* (- y x) (/ 1 z))

simplify35.0ms

Counts

59 → 59

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	296	305
1	1237	264
2	5001	250
done	5001	250

prune103.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ x (/ y z)) (+ x (/ y z)))
0.3b	(* (/ x z) (/ x z))
6.2b	(- (* (+ x (/ y z)) (+ x (/ y z))) (* (/ x z) (/ x z)))
29.5b	(/ (- (* (+ x (/ y z)) (+ x (/ y z))) (* (/ x z) (/ x z))) (+ (+ x (/ y z)) (/ x z)))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
48×	`frac-sub`
47×	`add-cube-cbrt`
45×	`frac-times`
44×	`flip3-+` `flip-+`
31×	`associate-r/` `associate-l/`
26×	`associate-/l/`
21×	`distribute-lft-out`
20×	`add-exp-log` `add-cbrt-cube`
19×	`swap-sqr`
18×	`pow1`
17×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod` `div-inv` `unswap-sqr`
4×	`associate-/r/` `associate-/l*`
2×	`pow2` `distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-plus` `pow-prod-down` `frac-add` `associate--l+` `pow-sqr` `*-commutative` `pow-prod-up` `flip--`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `clear-num`

Counts

4 → 218

Calls

4 calls:

67.0ms	(* (+ x (/ y z)) (+ x (/ y z)))
21.0ms	(* (/ x z) (/ x z))
28.0ms	(- (* (+ x (/ y z)) (+ x (/ y z))) (* (/ x z) (/ x z)))
143.0ms	(/ (- (* (+ x (/ y z)) (+ x (/ y z))) (* (/ x z) (/ x z))) (+ (+ x (/ y z)) (/ x z)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (+ x (/ y z)) (+ x (/ y z)))
27.0ms	(* (/ x z) (/ x z))
101.0ms	(- (* (+ x (/ y z)) (+ x (/ y z))) (* (/ x z) (/ x z)))
134.0ms	(/ (- (* (+ x (/ y z)) (+ x (/ y z))) (* (/ x z) (/ x z))) (+ (+ x (/ y z)) (/ x z)))

simplify49.0ms

Counts

230 → 230

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1060	2967
1	5001	2774
done	5001	2774

prune498.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes61.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3
done	7	3

end0.0ms

sample474.0ms

Algorithm

intervals

Results

193.0ms

10060×

body

valid