Details

sample37.0ms

Algorithm

intervals

Results

16.0ms

277×

body

valid

simplify82.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	117
6	117
5	112
4	88
3	59
2	37
1	21
0	9

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize11.0ms

Local error

Found 2 expressions with local error:

2.7b	(* y (+ 1.0 (* z z)))
4.6b	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-*r/`
3×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod` `div-inv`
2×	`flip3-+` `associate-/r/` `flip-+` `add-log-exp`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `unswap-sqr` `associate-/l/`

Counts

2 → 70

Calls

2 calls:

23.0ms	(* y (+ 1.0 (* z z)))
17.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series187.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(* y (+ 1.0 (* z z)))
86.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify950.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5002
2	2178
1	436
0	156

prune456.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y 1.0) (* (* y z) z))
0.1b	(* (* y z) z)
4.6b	(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`pow1`
5×	`div-inv` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `associate-l` `*-commutative` `associate-/l/`

Counts

3 → 101

Calls

3 calls:

6.0ms	(+ (* y 1.0) (* (* y z) z))
13.0ms	(* (* y z) z)
17.0ms	(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))

series242.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (* y 1.0) (* (* y z) z))
43.0ms	(* (* y z) z)
114.0ms	(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))

simplify2.0s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	2660
1	546
0	210

prune625.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ (/ 1 1) (* (/ (* y (+ 1.0 (* z z))) 1.0) x))
2.7b	(* y (+ 1.0 (* z z)))
4.5b	(* (/ (* y (+ 1.0 (* z z))) 1.0) x)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-exp-log`
60×	`div-exp`
46×	`add-cbrt-cube`
34×	`times-frac`
33×	`prod-exp`
26×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`1-exp`
18×	`cbrt-undiv`
13×	`cbrt-unprod` `associate-/l*`
10×	`associate-l`
8×	`rec-exp`
7×	`pow1`
6×	`associate-r`
4×	`div-inv`
3×	`add-log-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `clear-num` `associate-/r*` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-/r/` `flip-+` `associate-/l/`

Counts

3 → 124

Calls

3 calls:

39.0ms	(/ (/ 1 1) (* (/ (* y (+ 1.0 (* z z))) 1.0) x))
13.0ms	(* y (+ 1.0 (* z z)))
31.0ms	(* (/ (* y (+ 1.0 (* z z))) 1.0) x)

series255.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ (/ 1 1) (* (/ (* y (+ 1.0 (* z z))) 1.0) x))
86.0ms	(* y (+ 1.0 (* z z)))
90.0ms	(* (/ (* y (+ 1.0 (* z z))) 1.0) x)

simplify2.7s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	4513
1	805
0	236

prune577.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y 1.0) (* (* y z) z))
0.1b	(* (* y z) z)
0.4b	(/ (/ 1 1) (* (/ (+ (* y 1.0) (* (* y z) z)) 1.0) x))
4.5b	(* (/ (+ (* y 1.0) (* (* y z) z)) 1.0) x)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
41×	`times-frac` `div-exp`
35×	`add-cbrt-cube`
32×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `add-cube-cbrt`
19×	`prod-exp`
15×	`1-exp`
14×	`associate-l`
13×	`associate-/l*`
12×	`cbrt-undiv`
11×	`pow1`
9×	`cbrt-unprod`
6×	`rec-exp` `associate-r` `add-log-exp`
4×	`pow-prod-down` `div-inv`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3-+` `associate-/r/` `flip-+` `associate-/l/`

Counts

4 → 127

Calls

4 calls:

6.0ms	(+ (* y 1.0) (* (* y z) z))
28.0ms	(* (* y z) z)
17.0ms	(/ (/ 1 1) (* (/ (+ (* y 1.0) (* (* y z) z)) 1.0) x))
21.0ms	(* (/ (+ (* y 1.0) (* (* y z) z)) 1.0) x)

series307.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (* y 1.0) (* (* y z) z))
29.0ms	(* (* y z) z)
85.0ms	(/ (/ 1 1) (* (/ (+ (* y 1.0) (* (* y z) z)) 1.0) x))
104.0ms	(* (/ (+ (* y 1.0) (* (* y z) z)) 1.0) x)

simplify2.7s

Counts

139 → 139

Iterations

Iter	Nodes
done	5001
2	4225
1	770
0	245

prune520.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes985.0ms

Accuracy

54.6% (1.6b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 3.7b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	27
1	27
0	22

end0.0ms

sample1.0s

Algorithm

intervals

Results

618.0ms

8616×

body

valid