Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

284×

body

valid

simplify604.0ms

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: 11.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
12.2b	(/ (* (- y z) t) (- a z))

rewrite67.0ms

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:

22.0ms	(+ x (/ (* (- y z) t) (- a z)))
21.0ms	(* (- y z) t)
22.0ms	(/ (* (- y z) t) (- a z))

series188.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ x (/ (* (- y z) t) (- a z)))
34.0ms	(* (- y z) t)
68.0ms	(/ (* (- y z) t) (- a z))

simplify915.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (152.0ms)

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

prune154.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
8.6b	(/ (- y z) (/ (- a z) t))

rewrite111.0ms

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:

56.0ms	(+ x (/ (- y z) (/ (- a z) t)))
15.0ms	(/ (- a z) t)
29.0ms	(/ (- y z) (/ (- a z) t))

series221.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ x (/ (- y z) (/ (- a z) t)))
31.0ms	(/ (- a z) t)
104.0ms	(/ (- 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

prune430.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ (- y z) (- a z)) t))
0.0b	(/ (- y z) (- a z))
2.2b	(* (/ (- y z) (- a z)) t)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

6.0ms	(+ x (* (/ (- y z) (- a z)) t))
21.0ms	(/ (- y z) (- a z))
47.0ms	(* (/ (- y z) (- a z)) t)

series240.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ x (* (/ (- y z) (- a z)) t))
54.0ms	(/ (- y z) (- a z))
101.0ms	(* (/ (- y z) (- a z)) t)

simplify1.8s

Counts

122 → 122

Iterations

Useful iterations: 2 (198.0ms)

Iter	Nodes	Cost
0	167	1539
1	432	1476
2	1198	1388
3	3871	1388
done	5001	1388

prune257.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
4.7b	(/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt (- a z)) t))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

1053×	`times-frac`
507×	`add-sqr-sqrt` `*-un-lft-identity`
354×	`cbrt-div`
335×	`add-cube-cbrt`
285×	`cbrt-prod`
233×	`associate-/r/`
177×	`flip3--` `flip--`
116×	`frac-times`
86×	`distribute-lft-out--` `difference-of-squares`
58×	`associate-r/` `associate-l/`
48×	`div-inv`
28×	`associate-/r*`
25×	`add-exp-log`
18×	`add-cbrt-cube`
17×	`associate-/l*`
13×	`cbrt-undiv` `div-exp`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
2×	`div-sub` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 591

Calls

4 calls:

4.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
6.0ms	(cbrt (- a z))
66.0ms	(/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt (- a z)) t))

series560.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (- a z))
153.0ms	(cbrt (- a z))
147.0ms	(cbrt (- a z))
104.0ms	(/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt (- a z)) t))

simplify1.3s

Counts

603 → 603

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	882	23060
1	2746	21904
done	5001	21367

prune1.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes169.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample578.0ms

Algorithm

intervals

Results

240.0ms	8700×	body	80	valid
0.0ms	2×	body	160	valid