Details

sample113.0ms

Algorithm

intervals

Results

52.0ms

487×

body

valid

simplify14.5s

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: 5.6b

localize17.0ms

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)

rewrite138.0ms

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:

10.0ms	(+ (* x y) (* z t))
65.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
20.0ms	(* (+ a (* b c)) c)
40.0ms	(* (* (+ a (* b c)) c) i)

series956.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* x y) (* z t))
748.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
64.0ms	(* (+ a (* b c)) c)
84.0ms	(* (* (+ a (* b c)) c) i)

simplify1.0s

Counts

81 → 81

Iterations

Useful iterations: done (1.0s)

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

prune382.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize29.0ms

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

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

6.0ms	(+ a (* b c))
11.0ms	(+ (* x y) (* z t))
61.0ms	(+ (+ (* x y) (* z t)) (* (+ a (* b c)) (* c (- i))))
52.0ms	(* (+ a (* b c)) (* c (- i)))

series965.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ a (* b c))
59.0ms	(+ (* x y) (* z t))
762.0ms	(+ (+ (* x y) (* z t)) (* (+ a (* b c)) (* c (- i))))
103.0ms	(* (+ a (* b c)) (* c (- i)))

simplify1.1s

Counts

74 → 74

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	133	1355
1	427	1256
2	1827	1174
done	5002	1146

prune365.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize21.0ms

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

16×	`add-log-exp`
14×	`associate-*l/`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`flip3-+` `flip-+`
7×	`add-cube-cbrt` `sum-log`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod` `distribute-neg-frac`
2×	`+-commutative` `neg-log` `*-commutative`
1×	`neg-sub0` `associate-+r-` `associate-+l+` `unsub-neg` `distribute-lft-out` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

12.0ms	(+ (* x y) (* z t))
43.0ms	(+ (+ (* x y) (* z t)) (- (* (* (+ a (* b c)) i) c)))
18.0ms	(* (+ a (* b c)) i)
46.0ms	(* (* (+ a (* b c)) i) c)

series949.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* x y) (* z t))
731.0ms	(+ (+ (* x y) (* z t)) (- (* (* (+ a (* b c)) i) c)))
66.0ms	(* (+ a (* b c)) i)
104.0ms	(* (* (+ a (* b c)) i) c)

simplify1.6s

Counts

86 → 86

Iterations

Useful iterations: 2 (349.0ms)

Iter	Nodes	Cost
0	155	1497
1	474	1399
2	2038	1273
done	5000	1273

prune394.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

localize35.0ms

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)))

rewrite304.0ms

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:

1.0ms	(cbrt c)
18.0ms	(* (+ a (* b c)) i)
221.0ms	(* (* (* (+ a (* b c)) i) (* (cbrt c) (cbrt c))) (cbrt c))
61.0ms	(* (* (+ a (* b c)) i) (* (cbrt c) (cbrt c)))

series806.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt c)
68.0ms	(* (+ a (* b c)) i)
132.0ms	(* (* (* (+ a (* b c)) i) (* (cbrt c) (cbrt c))) (cbrt c))
363.0ms	(* (* (+ a (* b c)) i) (* (cbrt c) (cbrt c)))

simplify1.5s

Counts

99 → 99

Iterations

Useful iterations: done (1.5s)

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

prune487.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

regimes1.6s

Accuracy

91.3% (0.4b remaining)

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

bsearch1.0ms

simplify30.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	29	79
1	48	60
2	56	60
3	60	60
4	65	60
done	65	60

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.9s

15101×

body

valid