Details

sample74.0ms

Algorithm

intervals

Results

34.0ms

482×

body

valid

simplify13.0s

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: 5.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(+ (* x y) (* z t))
0.1b	(* (+ a (* b c)) c)
6.6b	(* (* (+ a (* b c)) c) i)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

6.0ms	(+ a (* b c))
8.0ms	(+ (* x y) (* z t))
16.0ms	(* (+ a (* b c)) c)
43.0ms	(* (* (+ a (* b c)) c) i)

series217.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ a (* b c))
47.0ms	(+ (* x y) (* z t))
52.0ms	(* (+ a (* b c)) c)
88.0ms	(* (* (+ a (* b c)) c) i)

simplify2.8s

Counts

74 → 74

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	115	798
1	316	780
2	1146	670
3	3952	662
done	5000	662

prune310.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
0.0b	(+ (* x y) (* z t))
4.3b	(* (+ a (* b c)) (* i c))

rewrite105.0ms

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))
53.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
14.0ms	(+ (* x y) (* z t))
30.0ms	(* (+ a (* b c)) (* i c))

series987.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ a (* b c))
815.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
48.0ms	(+ (* x y) (* z t))
76.0ms	(* (+ a (* b c)) (* i c))

simplify1.0s

Counts

72 → 72

Iterations

Useful iterations: 2 (320.0ms)

Iter	Nodes	Cost
0	129	1315
1	404	1225
2	1663	1145
done	5001	1145

prune478.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.2b

localize41.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (+ a (* b c)))
1.7b	(cbrt (+ a (* b c)))
1.7b	(cbrt (+ a (* b c)))
1.8b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
25×	`pow1` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 93

Calls

4 calls:

4.0ms	(cbrt (+ a (* b c)))
6.0ms	(cbrt (+ a (* b c)))
6.0ms	(cbrt (+ a (* b c)))
181.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))

series581.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (+ a (* b c)))
159.0ms	(cbrt (+ a (* b c)))
169.0ms	(cbrt (+ a (* b c)))
108.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))

simplify2.3s

Counts

105 → 105

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	169	2969
1	495	2819
2	1572	2303
done	5000	2074

prune519.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.2b

localize24.0ms

Local error

Found 4 expressions with local error:

1.6b	(* (cbrt (+ a (* b c))) (* i c))
1.7b	(cbrt (+ a (* b c)))
1.7b	(cbrt (+ a (* b c)))
1.7b	(cbrt (+ a (* b c)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

37.0ms	(* (cbrt (+ a (* b c))) (* i c))
3.0ms	(cbrt (+ a (* b c)))
3.0ms	(cbrt (+ a (* b c)))
3.0ms	(cbrt (+ a (* b c)))

series1.1s

Counts

4 → 12

Calls

4 calls:

552.0ms	(* (cbrt (+ a (* b c))) (* i c))
174.0ms	(cbrt (+ a (* b c)))
155.0ms	(cbrt (+ a (* b c)))
171.0ms	(cbrt (+ a (* b c)))

simplify3.1s

Counts

74 → 74

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	109	978
1	284	947
2	783	867
3	2107	823
done	5000	777

prune468.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 1.2b

regimes733.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.4s

15266×

body

valid