Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

323×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	84	9
4	231	9
5	799	9
6	3999	9
done	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
2.7b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-l*`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

43.0ms	(* (- 1.0 y) z)
25.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* (- 1.0 y) z)
55.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify626.0ms

Counts

52 → 52

Iterations

Useful iterations: done (624.0ms)

Iter	Nodes	Cost
0	93	536
1	226	518
2	881	464
done	5000	462

prune222.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
2.7b	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`cbrt-prod` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

8.0ms	(cbrt (- 1.0 y))
8.0ms	(cbrt (- 1.0 y))
8.0ms	(cbrt (- 1.0 y))
33.0ms	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

series398.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (- 1.0 y))
118.0ms	(cbrt (- 1.0 y))
93.0ms	(cbrt (- 1.0 y))
66.0ms	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

simplify662.0ms

Counts

81 → 81

Iterations

Useful iterations: done (659.0ms)

Iter	Nodes	Cost
0	133	1374
1	323	1330
2	1117	1002
done	5000	867

prune429.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x (- 1.0 y)) (- z)))
0.0b	(* x (- 1.0 y))
2.7b	(* (* x (- 1.0 y)) (- z))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-r`
12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-l/` `-commutative` `flip--`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

16.0ms	(+ (* x 1.0) (* (* x (- 1.0 y)) (- z)))
21.0ms	(* x (- 1.0 y))
48.0ms	(* (* x (- 1.0 y)) (- z))

series168.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ (* x 1.0) (* (* x (- 1.0 y)) (- z)))
45.0ms	(* x (- 1.0 y))
55.0ms	(* (* x (- 1.0 y)) (- z))

simplify993.0ms

Counts

76 → 76

Iterations

Useful iterations: done (991.0ms)

Iter	Nodes	Cost
0	120	821
1	351	774
2	1657	686
done	5002	680

prune604.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* x (- 1.0 y)) (- z))
4.4b	(cbrt (* (* x (- 1.0 y)) (- z)))
4.4b	(cbrt (* (* x (- 1.0 y)) (- z)))
4.4b	(cbrt (* (* x (- 1.0 y)) (- z)))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-r/` `associate-l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `distribute-lft-neg-in` `distribute-rgt-neg-in` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`neg-mul-1` `associate-l` `*-commutative` `distribute-rgt-neg-out`

Counts

4 → 61

Calls

4 calls:

58.0ms	(* (* x (- 1.0 y)) (- z))
48.0ms	(cbrt (* (* x (- 1.0 y)) (- z)))
45.0ms	(cbrt (* (* x (- 1.0 y)) (- z)))
53.0ms	(cbrt (* (* x (- 1.0 y)) (- z)))

series746.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* x (- 1.0 y)) (- z))
232.0ms	(cbrt (* (* x (- 1.0 y)) (- z)))
204.0ms	(cbrt (* (* x (- 1.0 y)) (- z)))
249.0ms	(cbrt (* (* x (- 1.0 y)) (- z)))

simplify926.0ms

Counts

73 → 73

Iterations

Useful iterations: done (922.0ms)

Iter	Nodes	Cost
0	146	1404
1	393	1357
2	1629	1239
done	5000	1197

prune517.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes642.0ms

Accuracy

50.1% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	24	29
2	28	29
3	35	29
done	35	29

end0.0ms

sample1.0s

Algorithm

intervals

Results

489.0ms

10020×

body

valid