Details

sample96.0ms

Algorithm

intervals

Results

52.0ms

487×

body

valid

simplify14.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 5.6b

localize16.0ms

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)
8.7b	(* (* (+ a (* b c)) c) i)

rewrite152.0ms

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:

8.0ms	(+ (* x y) (* z t))
68.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
17.0ms	(* (+ a (* b c)) c)
55.0ms	(* (* (+ a (* b c)) c) i)

series1.1s

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (* x y) (* z t))
812.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
88.0ms	(* (+ a (* b c)) c)
117.0ms	(* (* (+ a (* b c)) c) i)

simplify1.1s

Counts

81 → 81

Iterations

Useful iterations: done (1.1s)

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

prune429.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize43.0ms

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)))
4.9b	(* (+ a (* b c)) (* i c))

rewrite110.0ms

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))
8.0ms	(+ (* x y) (* z t))
51.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
43.0ms	(* (+ a (* b c)) (* i c))

series961.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ a (* b c))
63.0ms	(+ (* x y) (* z t))
773.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
80.0ms	(* (+ a (* b c)) (* i c))

simplify946.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (289.0ms)

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

prune378.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize19.0ms

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))
0.8b	(* (+ a (* b c)) i)
3.7b	(* (* (+ a (* b c)) i) c)

rewrite124.0ms

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))
48.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) i) c))
18.0ms	(* (+ a (* b c)) i)
45.0ms	(* (* (+ a (* b c)) i) c)

series1.0s

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* x y) (* z t))
818.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) i) c))
64.0ms	(* (+ a (* b c)) i)
92.0ms	(* (* (+ a (* b c)) i) c)

simplify1.3s

Counts

81 → 81

Iterations

Useful iterations: done (1.3s)

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

prune431.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.8b	(* (+ a (* b c)) i)
0.9b	(* (* (* (+ a (* b c)) i) (* (cbrt c) (cbrt c))) (cbrt c))
3.2b	(* (* (+ a (* b c)) i) (* (cbrt c) (cbrt c)))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

2.0ms	(cbrt c)
33.0ms	(* (+ a (* b c)) i)
268.0ms	(* (* (* (+ a (* b c)) i) (* (cbrt c) (cbrt c))) (cbrt c))
63.0ms	(* (* (+ a (* b c)) i) (* (cbrt c) (cbrt c)))

series973.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt c)
65.0ms	(* (+ a (* b c)) i)
122.0ms	(* (* (* (+ a (* b c)) i) (* (cbrt c) (cbrt c))) (cbrt c))
501.0ms	(* (* (+ a (* b c)) i) (* (cbrt c) (cbrt c)))

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	144	1508
1	387	1470
2	1616	1038
done	5000	939

prune466.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

regimes1.3s

Accuracy

91.3% (0.4b remaining)

Error of 1.2b against oracle of 0.8b and baseline of 5.7b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	28	77
1	42	59
done	42	59

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.2s

15101×

body

valid