Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

336×

body

valid

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	47	9
4	77	9
5	101	9
6	121	9
7	141	9
8	186	9
9	256	9
10	362	9
11	492	9
12	604	9
13	867	9
14	1241	9
15	1947	9
16	2868	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
6.1b	(/ (* (- y x) z) t)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

4.0ms	(+ x (/ (* (- y x) z) t))
6.0ms	(/ (* (- y x) z) t)

series80.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (/ (* (- y x) z) t))
46.0ms	(/ (* (- y x) z) t)

simplify1.2s

Counts

41 → 41

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	84	503
1	233	471
2	713	401
3	3520	401
done	5000	400

prune87.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.4b	(* (- y x) (/ z t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

2.0ms	(+ x (* (- y x) (/ z t)))
14.0ms	(* (- y x) (/ z t))

series79.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* (- y x) (/ z t)))
44.0ms	(* (- y x) (/ z t))

simplify2.1s

Counts

55 → 55

Iterations

Useful iterations: 3 (849.0ms)

Iter	Nodes	Cost
0	115	669
1	297	627
2	1062	581
3	4833	557
done	5000	557

prune110.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.0b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
28.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series649.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt z)
170.0ms	(cbrt z)
173.0ms	(cbrt z)
127.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify490.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	144	1045
1	388	974
2	1495	731
done	5000	731

prune263.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
6.7b	(/ (- y x) (/ t z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

26.0ms	(+ x (/ (- y x) (/ t z)))
10.0ms	(/ (- y x) (/ t z))

series81.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (/ (- y x) (/ t z)))
46.0ms	(/ (- y x) (/ t z))

simplify719.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (199.0ms)

Iter	Nodes	Cost
0	217	1896
1	607	1770
2	1841	1680
done	5000	1680

prune258.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	17	23
done	17	23

end0.0ms

sample554.0ms

Algorithm

intervals

Results

284.0ms

10586×

body

valid