Details

sample43.0ms

Algorithm

intervals

Results

19.0ms

349×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.5b	(* (* a 27.0) b)
5.2b	(* (* (* y 9.0) z) t)

rewrite125.0ms

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:

25.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
17.0ms	(* (* y 9.0) z)
23.0ms	(* (* a 27.0) b)
58.0ms	(* (* (* y 9.0) z) t)

series305.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
23.0ms	(* (* y 9.0) z)
30.0ms	(* (* a 27.0) b)
40.0ms	(* (* (* y 9.0) z) t)

simplify1.6s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	2477
1	379
0	140

prune560.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
0.2b	(* (* y 9.0) z)
0.2b	(* a (* 27.0 b))
5.2b	(* (* (* y 9.0) z) t)

rewrite101.0ms

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-r*` `add-cube-cbrt`
5×	`associate-l`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 72

Calls

4 calls:

28.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
13.0ms	(* (* y 9.0) z)
12.0ms	(* a (* 27.0 b))
46.0ms	(* (* (* y 9.0) z) t)

series351.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
31.0ms	(* (* y 9.0) z)
31.0ms	(* a (* 27.0 b))
46.0ms	(* (* (* y 9.0) z) t)

simplify1.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	2111
1	368
0	138

prune571.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2.0) (- (* 27.0 (* b a)) (* (* t y) (* 9.0 z))))
0.0b	(- (* 27.0 (* b a)) (* (* t y) (* 9.0 z)))
0.3b	(* 27.0 (* b a))
5.3b	(* (* t y) (* 9.0 z))

rewrite95.0ms

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-l`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log` `associate-r` `*-commutative`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `flip-+` `flip--`

Counts

4 → 67

Calls

4 calls:

30.0ms	(+ (* x 2.0) (- (* 27.0 (* b a)) (* (* t y) (* 9.0 z))))
21.0ms	(- (* 27.0 (* b a)) (* (* t y) (* 9.0 z)))
18.0ms	(* 27.0 (* b a))
24.0ms	(* (* t y) (* 9.0 z))

series365.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(+ (* x 2.0) (- (* 27.0 (* b a)) (* (* t y) (* 9.0 z))))
120.0ms	(- (* 27.0 (* b a)) (* (* t y) (* 9.0 z)))
21.0ms	(* 27.0 (* b a))
35.0ms	(* (* t y) (* 9.0 z))

simplify1.5s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	1658
1	370
0	134

prune535.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* b a)) (* (* (* t y) 9.0) z))
0.2b	(* (* t y) 9.0)
0.3b	(* 27.0 (* b a))
5.1b	(* (* (* t y) 9.0) z)

rewrite104.0ms

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:

14.0ms	(- (* 27.0 (* b a)) (* (* (* t y) 9.0) z))
16.0ms	(* (* t y) 9.0)
13.0ms	(* 27.0 (* b a))
58.0ms	(* (* (* t y) 9.0) z)

series201.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(- (* 27.0 (* b a)) (* (* (* t y) 9.0) z))
31.0ms	(* (* t y) 9.0)
25.0ms	(* 27.0 (* b a))
31.0ms	(* (* (* t y) 9.0) z)

simplify1.4s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	2031
1	333
0	125

prune443.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes2.1s

Accuracy

82.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.3b

bsearch178.0ms

Steps

Iters	Range		Point
7	9.569825653019951e-24	2.5310523710342107e-22	1.2047327208417088e-22
10	-4.891555987379152e+73	-5.173197222264297e+58	-1.8937861640314113e+65

simplify8.0ms

Iterations

Iter	Nodes
done	44
1	44
0	30

end0.0ms

sample2.5s

Algorithm

intervals

Results

2.0s

11029×

body

valid