Details

sample137.0ms

Algorithm

intervals

Results

69.0ms

473×

body

valid

simplify14.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	77	19
3	228	19
4	707	19
5	1495	19
6	1992	19
7	2251	19
8	2668	19
9	3141	19
10	3346	19
11	3407	19
done	3407	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
8.5b	(* (* (+ a (* b c)) c) i)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod`
2×	`diff-log` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

9.0ms	(+ (* x y) (* z t))
56.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
19.0ms	(* (+ a (* b c)) c)
31.0ms	(* (* (+ a (* b c)) c) i)

series850.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* x y) (* z t))
677.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
54.0ms	(* (+ a (* b c)) c)
69.0ms	(* (* (+ a (* b c)) c) i)

simplify1.2s

Counts

81 → 81

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	147	1423
1	435	1333
2	1797	1231
done	5000	1215

prune447.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
6.8b	(* (+ a (* b c)) (* i c))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`associate-*l/`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`frac-sub`
3×	`associate-l` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
2×	`+-commutative` `diff-log`
1×	`sub-neg` `flip3--` `associate-r` `associate--l+` `*-commutative` `flip--`

Counts

4 → 60

Calls

4 calls:

6.0ms	(+ a (* b c))
9.0ms	(+ (* x y) (* z t))
53.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
47.0ms	(* (+ a (* b c)) (* i c))

series931.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ a (* b c))
55.0ms	(+ (* x y) (* z t))
751.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
87.0ms	(* (+ a (* b c)) (* i c))

simplify1.1s

Counts

72 → 72

Iterations

Useful iterations: 2 (331.0ms)

Iter	Nodes	Cost
0	129	1315
1	404	1225
2	1662	1145
done	5000	1145

prune375.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.4b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) i) c))
2.0b	(* (+ a (* b c)) i)
3.4b	(* (* (+ a (* b c)) i) c)

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod`
2×	`diff-log` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

9.0ms	(+ (* x y) (* z t))
75.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) i) c))
24.0ms	(* (+ a (* b c)) i)
50.0ms	(* (* (+ a (* b c)) i) c)

series915.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* x y) (* z t))
678.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) i) c))
73.0ms	(* (+ a (* b c)) i)
111.0ms	(* (* (+ a (* b c)) i) c)

simplify1.1s

Counts

81 → 81

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	147	1423
1	436	1333
2	1796	1231
done	5000	1215

prune382.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.4b

localize34.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (+ (* x y) (* z t)))
1.7b	(cbrt (+ (* x y) (* z t)))
1.7b	(cbrt (+ (* x y) (* z t)))
8.5b	(* (* (+ a (* b c)) c) i)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 59

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))
32.0ms	(* (* (+ a (* b c)) c) i)

series592.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (+ (* x y) (* z t)))
196.0ms	(cbrt (+ (* x y) (* z t)))
134.0ms	(cbrt (+ (* x y) (* z t)))
79.0ms	(* (* (+ a (* b c)) c) i)

simplify3.1s

Counts

71 → 71

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	124	1057
1	343	1025
2	1105	914
3	3940	888
done	5000	849

prune444.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.4b

regimes1.1s

Accuracy

0% (1.0b remaining)

Error of 1.9b against oracle of 0.9b and baseline of 1.9b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	26	19
done	26	19

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.0s

15020×

body

valid