Details

sample137.0ms

Algorithm

intervals

Results

63.0ms

480×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	77	19
3	232	19
4	821	19
5	2802	19
done	5001	19

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
6.5b	(* (* (+ a (* b c)) c) i)

rewrite125.0ms

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:

6.0ms	(+ a (* b c))
58.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
19.0ms	(* (+ a (* b c)) c)
39.0ms	(* (* (+ a (* b c)) c) i)

series987.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ a (* b c))
784.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
64.0ms	(* (+ a (* b c)) c)
102.0ms	(* (* (+ a (* b c)) c) i)

simplify1.8s

Counts

81 → 81

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	146	1383
1	439	1307
2	2342	1205
done	5001	1199

prune782.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
5.3b	(* (+ a (* b c)) (* i c))

rewrite149.0ms

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:

10.0ms	(+ (* x y) (* z t))
7.0ms	(+ a (* b c))
83.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
48.0ms	(* (+ a (* b c)) (* i c))

series907.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* x y) (* z t))
31.0ms	(+ a (* b c))
755.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
71.0ms	(* (+ a (* b c)) (* i c))

simplify1.0s

Counts

72 → 72

Iterations

Useful iterations: 2 (274.0ms)

Iter	Nodes	Cost
0	129	1315
1	405	1225
2	1868	1145
done	5001	1145

prune280.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize31.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (+ a (* b c)))
1.2b	(cbrt (+ a (* b c)))
1.7b	(* (cbrt (+ a (* b c))) (* i c))
3.0b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

4.0ms	(cbrt (+ a (* b c)))
3.0ms	(cbrt (+ a (* b c)))
33.0ms	(* (cbrt (+ a (* b c))) (* i c))
129.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))

series860.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (+ a (* b c)))
180.0ms	(cbrt (+ a (* b c)))
445.0ms	(* (cbrt (+ a (* b c))) (* i c))
75.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))

simplify1.2s

Counts

115 → 115

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	187	3075
1	556	2930
2	2041	2398
done	5000	2177

prune516.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) i) c))
0.8b	(* (+ a (* b c)) i)
5.1b	(* (* (+ a (* b c)) i) c)

rewrite167.0ms

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	(+ a (* b c))
80.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) i) c))
25.0ms	(* (+ a (* b c)) i)
48.0ms	(* (* (+ a (* b c)) i) c)

series947.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ a (* b c))
766.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) i) c))
60.0ms	(* (+ a (* b c)) i)
90.0ms	(* (* (+ a (* b c)) i) c)

simplify1.5s

Counts

81 → 81

Iterations

Useful iterations: 2 (331.0ms)

Iter	Nodes	Cost
0	146	1383
1	440	1307
2	2451	1195
done	5001	1195

prune392.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.7b

regimes607.0ms

Accuracy

0% (0.9b remaining)

Error of 1.8b against oracle of 0.8b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.3s

15137×

body

valid