Details

sample167.0ms

Algorithm

intervals

Results

83.0ms

551×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1710
3	614
2	201
1	66
0	28

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.8b

localize77.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
5.6b	(* (* (* x 18.0) y) z)
6.4b	(* (* (* (* x 18.0) y) z) t)

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (* x 18.0) y)
16.0ms	(* (* j 27.0) k)
63.0ms	(* (* (* x 18.0) y) z)
189.0ms	(* (* (* (* x 18.0) y) z) t)

series162.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x 18.0) y)
29.0ms	(* (* j 27.0) k)
40.0ms	(* (* (* x 18.0) y) z)
59.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	3116
1	370
0	137

prune865.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
9.0b	(* (* (* x 18.0) y) (* z t))

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`associate-r`
6×	`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 → 79

Calls

4 calls:

274.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
13.0ms	(* (* x 18.0) y)
15.0ms	(* (* j 27.0) k)
49.0ms	(* (* (* x 18.0) y) (* z t))

series302.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
22.0ms	(* (* x 18.0) y)
21.0ms	(* (* j 27.0) k)
50.0ms	(* (* (* x 18.0) y) (* z t))

simplify1.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	2589
1	452
0	160

prune709.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
0.2b	(* (* j 27.0) k)
4.7b	(* y (* z t))
6.1b	(* (* x 18.0) (* y (* z t)))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

217.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
13.0ms	(* (* j 27.0) k)
13.0ms	(* y (* z t))
45.0ms	(* (* x 18.0) (* y (* z t)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
28.0ms	(* (* j 27.0) k)
31.0ms	(* y (* z t))
68.0ms	(* (* x 18.0) (* y (* z t)))

simplify1.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	2237
1	437
0	157

prune809.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
0.3b	(* j (* 27.0 k))
4.7b	(* y (* z t))
6.1b	(* (* x 18.0) (* y (* z t)))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

199.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
12.0ms	(* j (* 27.0 k))
12.0ms	(* y (* z t))
50.0ms	(* (* x 18.0) (* y (* z t)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
21.0ms	(* j (* 27.0 k))
26.0ms	(* y (* z t))
50.0ms	(* (* x 18.0) (* y (* z t)))

simplify1.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1834
1	424
0	154

prune749.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes2.6s

Accuracy

64% (1.8b remaining)

Error of 2.2b against oracle of 0.4b and baseline of 5.4b

bsearch420.0ms

Steps

Iters	Range		Point
8	5.304115699900275e-87	2.9284448074854996e-82	7.289027731463515e-83
8	-3.4542967643614547e-77	-5.260283226669765e-81	-3.776984382821297e-79

simplify25.0ms

Iterations

Iter	Nodes
done	81
3	81
2	79
1	74
0	54

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.5s

16095×

body

valid