Details

sample38.0ms

Algorithm

intervals

Results

19.0ms	275×	body	80	valid
0.0ms	1×	body	160	valid

simplify931.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	60	11
4	96	11
5	140	11
6	163	11
7	180	11
8	202	11
9	247	11
10	327	11
11	365	11
12	399	11
13	405	11
14	407	11
done	407	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
12.4b	(/ (* (- y z) t) (- a z))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

32.0ms	(+ x (/ (* (- y z) t) (- a z)))
24.0ms	(* (- y z) t)
29.0ms	(/ (* (- y z) t) (- a z))

series260.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+ x (/ (* (- y z) t) (- a z)))
45.0ms	(* (- y z) t)
107.0ms	(/ (* (- y z) t) (- a z))

simplify1.2s

Counts

72 → 72

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	124	812
1	325	763
2	1263	685
done	5001	685

prune233.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
9.7b	(* (- y z) (/ t (- a z)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 94

Calls

3 calls:

11.0ms	(+ x (* (- y z) (/ t (- a z))))
14.0ms	(/ t (- a z))
65.0ms	(* (- y z) (/ t (- a z)))

series305.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(+ x (* (- y z) (/ t (- a z))))
44.0ms	(/ t (- a z))
146.0ms	(* (- y z) (/ t (- a z)))

simplify1.2s

Counts

103 → 103

Iterations

Useful iterations: 2 (208.0ms)

Iter	Nodes	Cost
0	154	1213
1	362	1138
2	1325	1060
done	5001	1060

prune257.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
10.3b	(/ (- y z) (/ (- a z) t))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 188

Calls

3 calls:

74.0ms	(+ x (/ (- y z) (/ (- a z) t)))
29.0ms	(/ (- a z) t)
38.0ms	(/ (- y z) (/ (- a z) t))

series227.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ x (/ (- y z) (/ (- a z) t)))
30.0ms	(/ (- a z) t)
106.0ms	(/ (- y z) (/ (- a z) t))

simplify1.3s

Counts

197 → 197

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	273	3386
1	759	3165
2	2479	3059
done	5002	3057

prune580.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
0.0b	(/ (- y z) (- a z))
2.5b	(/ (/ (- y z) (- a z)) (/ 1 t))

rewrite377.0ms

Algorithm

rewrite-expression-head

Rules

1066×	`times-frac`
699×	`*-un-lft-identity`
697×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
152×	`distribute-lft-out--` `difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
16×	`flip3--` `flip--`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 537

Calls

3 calls:

209.0ms	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
33.0ms	(/ (- y z) (- a z))
56.0ms	(/ (/ (- y z) (- a z)) (/ 1 t))

series356.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
75.0ms	(/ (- y z) (- a z))
157.0ms	(/ (/ (- y z) (- a z)) (/ 1 t))

simplify1.3s

Counts

546 → 546

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	703	13604
1	2054	11381
done	5000	10583

prune846.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes272.0ms

Accuracy

40.4% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	65
1	31	51
done	31	51

end0.0ms

sample1.2s

Algorithm

intervals

Results

487.0ms	8666×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid