Details

sample71.0ms

Algorithm

intervals

Results

27.0ms

364×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.2b	(* (* y 9.0) z)
5.1b	(* (* (* y 9.0) z) t)

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

44.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
24.0ms	(* (* a 27.0) b)
24.0ms	(* (* y 9.0) z)
82.0ms	(* (* (* y 9.0) z) t)

series297.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
34.0ms	(* (* a 27.0) b)
34.0ms	(* (* y 9.0) z)
45.0ms	(* (* (* y 9.0) z) t)

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	2479
1	378
0	140

prune652.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* 9.0 (* t (* z y)))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.2b	(* 9.0 (* t (* z y)))
5.1b	(* t (* z y))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

29.0ms	(+ (- (* x 2.0) (* 9.0 (* t (* z y)))) (* (* a 27.0) b))
21.0ms	(* (* a 27.0) b)
54.0ms	(* 9.0 (* t (* z y)))
19.0ms	(* t (* z y))

series319.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(+ (- (* x 2.0) (* 9.0 (* t (* z y)))) (* (* a 27.0) b))
30.0ms	(* (* a 27.0) b)
32.0ms	(* 9.0 (* t (* z y)))
31.0ms	(* t (* z y))

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1751
1	346
0	132

prune542.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* 9.0 t) (* z y)))
0.0b	(+ (- (* x 2.0) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
5.1b	(* (* 9.0 t) (* z y))

rewrite90.0ms

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:

6.0ms	(- (* x 2.0) (* (* 9.0 t) (* z y)))
24.0ms	(+ (- (* x 2.0) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
20.0ms	(* (* a 27.0) b)
39.0ms	(* (* 9.0 t) (* z y))

series339.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (* x 2.0) (* (* 9.0 t) (* z y)))
191.0ms	(+ (- (* x 2.0) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
22.0ms	(* (* a 27.0) b)
35.0ms	(* (* 9.0 t) (* z y))

simplify1.4s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	2109
1	381
0	136

prune470.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* 9.0 t) z) y)) (* (* a 27.0) b))
0.2b	(* (* 9.0 t) z)
0.2b	(* (* a 27.0) b)
4.5b	(* (* (* 9.0 t) z) y)

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

34.0ms	(+ (- (* x 2.0) (* (* (* 9.0 t) z) y)) (* (* a 27.0) b))
15.0ms	(* (* 9.0 t) z)
16.0ms	(* (* a 27.0) b)
56.0ms	(* (* (* 9.0 t) z) y)

series288.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(+ (- (* x 2.0) (* (* (* 9.0 t) z) y)) (* (* a 27.0) b))
23.0ms	(* (* 9.0 t) z)
22.0ms	(* (* a 27.0) b)
42.0ms	(* (* (* 9.0 t) z) y)

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	2469
1	374
0	139

prune459.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

Accuracy

76.5% (0.9b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 3.7b

bsearch184.0ms

Steps

Iters	Range		Point
7	3.5782274853577514e-78	6.42174681221046e-76	3.3010176056325615e-76
9	-8.516358840733701e-76	-6.288614519661335e-84	-2.1361948509843987e-80

simplify7.0ms

Iterations

Iter	Nodes
done	46
1	46
0	31

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

11041×

body

valid