Details

sample72.0ms

Algorithm

intervals

Results

30.0ms

355×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4208
5	906
4	414
3	214
2	80
1	34
0	17

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* a 27.0) b)
0.2b	(* (* y 9.0) z)
6.5b	(* (* (* y 9.0) z) t)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
3×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

8.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
26.0ms	(* (* a 27.0) b)
19.0ms	(* (* y 9.0) z)
69.0ms	(* (* (* y 9.0) z) t)

series223.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
30.0ms	(* (* a 27.0) b)
29.0ms	(* (* y 9.0) z)
33.0ms	(* (* (* y 9.0) z) t)

simplify1.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5003
2	2362
1	358
0	133

prune528.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (pow (* (* t z) (* 9.0 y)) 1)) (* (* a 27.0) b))
0.0b	(- (* x 2.0) (pow (* (* t z) (* 9.0 y)) 1))
0.2b	(* (* a 27.0) b)
5.4b	(* (* t z) (* 9.0 y))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r`
2×	`associate-+l+` `sum-log` `sub-neg` `diff-log` `associate-l` `*-commutative`
1×	`+-commutative` `flip3-+` `flip3--` `associate-+l-` `flip-+` `flip--`

Counts

4 → 67

Calls

4 calls:

44.0ms	(+ (- (* x 2.0) (pow (* (* t z) (* 9.0 y)) 1)) (* (* a 27.0) b))
7.0ms	(- (* x 2.0) (pow (* (* t z) (* 9.0 y)) 1))
16.0ms	(* (* a 27.0) b)
52.0ms	(* (* t z) (* 9.0 y))

series372.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(+ (- (* x 2.0) (pow (* (* t z) (* 9.0 y)) 1)) (* (* a 27.0) b))
118.0ms	(- (* x 2.0) (pow (* (* t z) (* 9.0 y)) 1))
32.0ms	(* (* a 27.0) b)
52.0ms	(* (* t z) (* 9.0 y))

simplify934.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	5002
2	2081
1	390
0	141

prune573.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (pow (* (* t (* 9.0 z)) y) 1))
0.2b	(* (* a 27.0) b)
0.4b	(* t (* 9.0 z))
5.3b	(* (* t (* 9.0 z)) y)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-l`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

7.0ms	(- (* x 2.0) (pow (* (* t (* 9.0 z)) y) 1))
14.0ms	(* (* a 27.0) b)
13.0ms	(* t (* 9.0 z))
36.0ms	(* (* t (* 9.0 z)) y)

series191.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- (* x 2.0) (pow (* (* t (* 9.0 z)) y) 1))
34.0ms	(* (* a 27.0) b)
34.0ms	(* t (* 9.0 z))
31.0ms	(* (* t (* 9.0 z)) y)

simplify1.3s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	2124
1	357
0	135

prune556.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* (* (* t 9.0) (* z (* (cbrt y) (cbrt y)))) (cbrt y))
4.1b	(* (* t 9.0) (* z (* (cbrt y) (cbrt y))))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

54×	`pow1` `add-exp-log`
39×	`add-cbrt-cube`
37×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
229.0ms	(* (* (* t 9.0) (* z (* (cbrt y) (cbrt y)))) (cbrt y))
99.0ms	(* (* t 9.0) (* z (* (cbrt y) (cbrt y))))

series826.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt y)
281.0ms	(cbrt y)
80.0ms	(* (* (* t 9.0) (* z (* (cbrt y) (cbrt y)))) (cbrt y))
172.0ms	(* (* t 9.0) (* z (* (cbrt y) (cbrt y))))

simplify1.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	2227
1	362
0	121

prune799.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

Accuracy

78.7% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 3.4b

bsearch239.0ms

Steps

Iters	Range		Point
9	6.787550218138112e+70	2.6343487348809685e+78	2.0191276210042699e+71
7	-243656779.31584764	-2578429.596233837	-87076559.25117375

simplify10.0ms

Iterations

Iter	Nodes
done	67
3	67
2	66
1	54
0	31

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

11013×

body

valid