Details

sample54.0ms

Algorithm

intervals

Results

27.0ms

503×

body

valid

simplify9.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	75	19
3	201	19
4	545	19
5	1071	19
6	1522	19
7	1807	19
8	2332	19
9	3451	19
10	4204	19
11	4280	19
done	4280	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.0b	(+ (* x y) (* z t))
0.1b	(* (+ a (* b c)) c)
9.2b	(* (* (+ a (* b c)) c) i)

rewrite47.0ms

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:

17.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
9.0ms	(+ (* x y) (* z t))
7.0ms	(* (+ a (* b c)) c)
12.0ms	(* (* (+ a (* b c)) c) i)

series748.0ms

Counts

4 → 12

Calls

4 calls:

601.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
34.0ms	(+ (* x y) (* z t))
49.0ms	(* (+ a (* b c)) c)
63.0ms	(* (* (+ a (* b c)) c) i)

simplify740.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (186.0ms)

Iter	Nodes	Cost
0	147	1423
1	434	1333
2	1753	1231
done	5001	1231

prune284.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
0.0b	(+ (* x y) (* z t))
4.5b	(* (+ a (* b c)) (* c i))

rewrite36.0ms

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:

2.0ms	(+ a (* b c))
17.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
2.0ms	(+ (* x y) (* z t))
12.0ms	(* (+ a (* b c)) (* c i))

series721.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ a (* b c))
595.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
35.0ms	(+ (* x y) (* z t))
65.0ms	(* (+ a (* b c)) (* c i))

simplify670.0ms

Counts

72 → 72

Iterations

Useful iterations: done (668.0ms)

Iter	Nodes	Cost
0	130	1315
1	403	1225
2	1586	1145
done	5000	1129

prune252.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.0b

localize18.0ms

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)))
2.9b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

rewrite54.0ms

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:

1.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
45.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (+ a (* b c)))
107.0ms	(cbrt (+ a (* b c)))
107.0ms	(cbrt (+ a (* b c)))
63.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

simplify849.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (164.0ms)

Iter	Nodes	Cost
0	170	2969
1	488	2819
2	1483	2303
done	5000	2303

prune415.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`associate-*l/`
18×	`pow1` `add-exp-log`
14×	`associate-*r/`
12×	`cbrt-prod`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `*-commutative`

Counts

4 → 92

Calls

4 calls:

118.0ms	(* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* c i))))
3.0ms	(cbrt (+ a (* b c)))
3.0ms	(cbrt (+ a (* b c)))
3.0ms	(cbrt (+ a (* b c)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* c i))))
109.0ms	(cbrt (+ a (* b c)))
112.0ms	(cbrt (+ a (* b c)))
105.0ms	(cbrt (+ a (* b c)))

simplify744.0ms

Counts

104 → 104

Iterations

Useful iterations: done (737.0ms)

Iter	Nodes	Cost
0	173	2857
1	468	2700
2	1374	2316
done	5001	2302

prune397.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.0b

regimes753.0ms

Accuracy

0% (0.9b remaining)

Error of 1.6b against oracle of 0.8b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.4s

Algorithm

intervals

Results

737.0ms

15160×

body

valid