Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

325×

body

valid

simplify3.1s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
3.4b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite59.0ms

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:

35.0ms	(* (- 1.0 y) z)
21.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* (- 1.0 y) z)
63.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify494.0ms

Counts

52 → 52

Iterations

Useful iterations: done (492.0ms)

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

prune124.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 y) z)
0.0b	(+ (* x 1.0) (* x (- (* (- 1.0 y) z))))
3.4b	(* x (- (* (- 1.0 y) z)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

32.0ms	(* (- 1.0 y) z)
10.0ms	(+ (* x 1.0) (* x (- (* (- 1.0 y) z))))
19.0ms	(* x (- (* (- 1.0 y) z)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (- 1.0 y) z)
78.0ms	(+ (* x 1.0) (* x (- (* (- 1.0 y) z))))
70.0ms	(* x (- (* (- 1.0 y) z)))

simplify858.0ms

Counts

69 → 69

Iterations

Useful iterations: done (855.0ms)

Iter	Nodes	Cost
0	117	750
1	316	673
2	1436	610
done	5000	606

prune244.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x (- 1.0 y)) (- z)))
0.0b	(* x (- 1.0 y))
3.0b	(* (* x (- 1.0 y)) (- z))

rewrite115.0ms

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:

13.0ms	(+ (* x 1.0) (* (* x (- 1.0 y)) (- z)))
30.0ms	(* x (- 1.0 y))
68.0ms	(* (* x (- 1.0 y)) (- z))

series178.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (* x 1.0) (* (* x (- 1.0 y)) (- z)))
36.0ms	(* x (- 1.0 y))
68.0ms	(* (* x (- 1.0 y)) (- z))

simplify920.0ms

Counts

76 → 76

Iterations

Useful iterations: done (918.0ms)

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

prune227.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- 1.0 y))
0.3b	(cbrt (- 1.0 y))
0.3b	(cbrt (- 1.0 y))
3.0b	(* (* (* x (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))) (- z))

rewrite800.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
40×	`associate-*l/`
32×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
18×	`pow1` `add-exp-log`
16×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`cbrt-prod`
13×	`add-cbrt-cube`
10×	`add-cube-cbrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow1/3` `distribute-lft-out--` `difference-of-squares`
1×	`neg-mul-1` `associate-l` `*-commutative` `distribute-rgt-neg-out`

Counts

4 → 103

Calls

4 calls:

7.0ms	(cbrt (- 1.0 y))
7.0ms	(cbrt (- 1.0 y))
7.0ms	(cbrt (- 1.0 y))
768.0ms	(* (* (* x (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))) (- z))

series433.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (- 1.0 y))
106.0ms	(cbrt (- 1.0 y))
131.0ms	(cbrt (- 1.0 y))
63.0ms	(* (* (* x (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))) (- z))

simplify1.6s

Counts

115 → 115

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	225	2205
1	682	2141
2	3132	1747
done	5000	1579

prune749.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes203.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	22	12
2	30	12
done	30	12

end0.0ms

sample893.0ms

Algorithm

intervals

Results

431.0ms

10139×

body

valid