Details

sample112.0ms

Algorithm

intervals

Results

57.0ms

475×

body

valid

simplify15.3s

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: 4.6b

localize24.0ms

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)
6.3b	(* (* (+ a (* b c)) c) i)

rewrite159.0ms

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	(+ a (* b c))
69.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
28.0ms	(* (+ a (* b c)) c)
48.0ms	(* (* (+ a (* b c)) c) i)

series1.3s

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ a (* b c))
1.1s	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
78.0ms	(* (+ a (* b c)) c)
80.0ms	(* (* (+ a (* b c)) c) i)

simplify984.0ms

Counts

81 → 81

Iterations

Useful iterations: done (981.0ms)

Iter	Nodes	Cost
0	146	1383
1	430	1307
2	1746	1195
done	5000	1179

prune367.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

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)) (* c i)))
4.2b	(* (+ a (* b c)) (* c i))

rewrite128.0ms

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:

11.0ms	(+ (* x y) (* z t))
6.0ms	(+ a (* b c))
65.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
44.0ms	(* (+ a (* b c)) (* c i))

series916.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (* x y) (* z t))
33.0ms	(+ a (* b c))
757.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
83.0ms	(* (+ a (* b c)) (* c i))

simplify1.0s

Counts

72 → 72

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	130	1315
1	404	1225
2	1656	1145
done	5001	1129

prune379.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ a (* b c)))
1.0b	(cbrt (+ a (* b c)))
1.0b	(cbrt (+ a (* b c)))
4.2b	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

rewrite386.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
40×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
25×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `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:

6.0ms	(cbrt (+ a (* b c)))
6.0ms	(cbrt (+ a (* b c)))
7.0ms	(cbrt (+ a (* b c)))
357.0ms	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

series551.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (+ a (* b c)))
165.0ms	(cbrt (+ a (* b c)))
169.0ms	(cbrt (+ a (* b c)))
93.0ms	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

simplify4.1s

Counts

105 → 105

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	182	2490
1	512	2427
2	1641	1840
3	4894	1685
done	5000	1679

prune615.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
4.2b	(* (+ a (* b c)) (* c i))
4.2b	(* (+ a (* b c)) (* c i))
4.2b	(* (+ a (* b c)) (* c i))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

40.0ms	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
41.0ms	(* (+ a (* b c)) (* c i))
42.0ms	(* (+ a (* b c)) (* c i))
37.0ms	(* (+ a (* b c)) (* c i))

series512.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
83.0ms	(* (+ a (* b c)) (* c i))
95.0ms	(* (+ a (* b c)) (* c i))
93.0ms	(* (+ a (* b c)) (* c i))

simplify1.2s

Counts

89 → 89

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	172	1730
1	507	1622
2	1882	1475
done	5000	1444

prune464.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.5b

regimes1.4s

Accuracy

0% (0.8b remaining)

Error of 1.5b against oracle of 0.7b and baseline of 1.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.6s

14997×

body

valid