Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

371×

body

valid

simplify37.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	67
5	67
4	63
3	45
2	33
1	16
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize21.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x y) (* z t))
7.8b	(/ (- (* x y) (* z t)) a)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

2 → 42

Calls

2 calls:

11.0ms	(- (* x y) (* z t))
28.0ms	(/ (- (* x y) (* z t)) a)

series129.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(- (* x y) (* z t))
64.0ms	(/ (- (* x y) (* z t)) a)

simplify2.2s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
3	2378
2	643
1	210
0	80

prune414.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.8b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x y) (* z t))
7.8b	(* (- (* x y) (* z t)) (/ 1 a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity` `times-frac` `add-exp-log`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`flip3--` `associate-l` `flip--` `unswap-sqr`
2×	`frac-times` `div-exp` `associate-*l/` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `diff-log` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

2 → 52

Calls

2 calls:

6.0ms	(- (* x y) (* z t))
25.0ms	(* (- (* x y) (* z t)) (/ 1 a))

series142.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(- (* x y) (* z t))
68.0ms	(* (- (* x y) (* z t)) (/ 1 a))

simplify2.5s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	3005
2	920
1	289
0	106

prune384.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.8b

localize58.0ms

Local error

Found 4 expressions with local error:

5.4b	(cbrt (* (- (* x y) (* z t)) (/ 1 a)))
7.8b	(* (- (* x y) (* z t)) (/ 1 a))
7.8b	(* (- (* x y) (* z t)) (/ 1 a))
7.8b	(* (- (* x y) (* z t)) (/ 1 a))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`associate-r`
33×	`times-frac`
31×	`*-un-lft-identity` `add-exp-log`
28×	`add-cube-cbrt`
19×	`add-cbrt-cube`
12×	`prod-exp`
10×	`pow1`
9×	`associate-l` `unswap-sqr`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`cbrt-div` `div-exp` `cbrt-unprod`
4×	`associate-*r/` `un-div-inv` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 135

Calls

4 calls:

15.0ms	(cbrt (* (- (* x y) (* z t)) (/ 1 a)))
34.0ms	(* (- (* x y) (* z t)) (/ 1 a))
34.0ms	(* (- (* x y) (* z t)) (/ 1 a))
46.0ms	(* (- (* x y) (* z t)) (/ 1 a))

series442.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt (* (- (* x y) (* z t)) (/ 1 a)))
64.0ms	(* (- (* x y) (* z t)) (/ 1 a))
66.0ms	(* (- (* x y) (* z t)) (/ 1 a))
70.0ms	(* (- (* x y) (* z t)) (/ 1 a))

simplify2.8s

Counts

147 → 147

Iterations

Iter	Nodes
done	5001
3	3564
2	1104
1	384
0	155

prune1.4s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 7.8b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* t z) (* x y)) (- (* x y) (* t z)))
0.3b	(- (* x y) (* t z))
0.6b	(* (+ (* t z) (* x y)) a)
29.3b	(/ (* (+ (* t z) (* x y)) (- (* x y) (* t z))) (* (+ (* t z) (* x y)) a))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

37.0ms	(* (+ (* t z) (* x y)) (- (* x y) (* t z)))
12.0ms	(- (* x y) (* t z))
34.0ms	(* (+ (* t z) (* x y)) a)
45.0ms	(/ (* (+ (* t z) (* x y)) (- (* x y) (* t z))) (* (+ (* t z) (* x y)) a))

series309.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (+ (* t z) (* x y)) (- (* x y) (* t z)))
59.0ms	(- (* x y) (* t z))
64.0ms	(* (+ (* t z) (* x y)) a)
58.0ms	(/ (* (+ (* t z) (* x y)) (- (* x y) (* t z))) (* (+ (* t z) (* x y)) a))

simplify2.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5059
2	2787
1	488
0	147

prune669.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 7.8b

regimes1.1s

Accuracy

0% (0.3b remaining)

Error of 7.3b against oracle of 7.0b and baseline of 7.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

658.0ms

11132×

body

valid