Details

sample57.0ms

Algorithm

intervals

Results

22.0ms

487×

body

valid

simplify197.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	9
1	77	9
2	230	9
3	735	9
4	1920	9
5	2994	9
6	3388	9
7	4078	9
8	5001	9
done	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.0b	(+ (* x y) (* z t))
0.1b	(* (+ a (* b c)) c)
7.1b	(* (* (+ a (* b c)) c) i)

rewrite100.0ms

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:

44.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
7.0ms	(+ (* x y) (* z t))
18.0ms	(* (+ a (* b c)) c)
28.0ms	(* (* (+ a (* b c)) c) i)

series739.0ms

Counts

4 → 12

Calls

4 calls:

594.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
34.0ms	(+ (* x y) (* z t))
50.0ms	(* (+ a (* b c)) c)
61.0ms	(* (* (+ a (* b c)) c) i)

simplify65.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	436	655
1	2076	599
2	5003	591
done	5003	591

prune258.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
0.0b	(+ (* x y) (* z t))
4.6b	(* (+ a (* b c)) (* c i))

rewrite89.0ms

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:

5.0ms	(+ a (* b c))
45.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
7.0ms	(+ (* x y) (* z t))
29.0ms	(* (+ a (* b c)) (* c i))

series755.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ a (* b c))
629.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
34.0ms	(+ (* x y) (* z t))
65.0ms	(* (+ a (* b c)) (* c i))

simplify55.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	404	600
1	1775	555
2	5003	547
done	5003	547

prune255.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 4 expressions with local error:

4.6b	(* (+ a (* b c)) (* c i))
8.9b	(cbrt (* (+ a (* b c)) (* c i)))
8.9b	(cbrt (* (+ a (* b c)) (* c i)))
8.9b	(cbrt (* (+ a (* b c)) (* c i)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

26.0ms	(* (+ a (* b c)) (* c i))
14.0ms	(cbrt (* (+ a (* b c)) (* c i)))
17.0ms	(cbrt (* (+ a (* b c)) (* c i)))
14.0ms	(cbrt (* (+ a (* b c)) (* c i)))

series498.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (+ a (* b c)) (* c i))
145.0ms	(cbrt (* (+ a (* b c)) (* c i)))
142.0ms	(cbrt (* (+ a (* b c)) (* c i)))
151.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify34.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	321	576
1	1103	516
2	5001	500
done	5001	500

prune338.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 1.0b

localize22.0ms

Local error

Found 4 expressions with local error:

4.6b	(* (+ a (* b c)) (* c i))
8.9b	(cbrt (* (+ a (* b c)) (* c i)))
8.9b	(cbrt (* (+ a (* b c)) (* c i)))
9.4b	(cbrt (* c i))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

26.0ms	(* (+ a (* b c)) (* c i))
14.0ms	(cbrt (* (+ a (* b c)) (* c i)))
17.0ms	(cbrt (* (+ a (* b c)) (* c i)))
3.0ms	(cbrt (* c i))

series601.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (+ a (* b c)) (* c i))
138.0ms	(cbrt (* (+ a (* b c)) (* c i)))
144.0ms	(cbrt (* (+ a (* b c)) (* c i)))
254.0ms	(cbrt (* c i))

simplify37.0ms

Counts

63 → 63

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	361	481
1	1200	424
2	5001	406
done	5001	406

prune296.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.0b

regimes717.0ms

Accuracy

0% (1.0b remaining)

Error of 1.7b against oracle of 0.7b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9
done	26	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

620.0ms

15017×

body

valid