Details

sample69.0ms

Algorithm

intervals

Results

35.0ms

339×

body

valid

simplify6.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4854
11	3636
10	2752
9	2110
8	1794
7	1579
6	1259
5	785
4	479
3	234
2	90
1	35
0	17

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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)
0.4b	(* (* y 9.0) z)
9.3b	(* (* (* y 9.0) z) t)

rewrite193.0ms

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`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `associate-l` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `prod-diff` `associate-+l-` `flip-+`

Counts

4 → 88

Calls

4 calls:

45.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
23.0ms	(* (* a 27.0) b)
24.0ms	(* (* y 9.0) z)
98.0ms	(* (* (* y 9.0) z) t)

series345.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
38.0ms	(* (* a 27.0) b)
31.0ms	(* (* y 9.0) z)
34.0ms	(* (* (* y 9.0) z) t)

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5003
2	1454
1	404
0	156

prune685.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r`
3×	`expm1-log1p-u` `associate-+l+` `fma-def` `insert-posit16` `log1p-expm1-u`
2×	`sum-log` `associate-l` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `prod-diff` `associate-+l-` `flip-+`

Counts

3 → 68

Calls

3 calls:

49.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
27.0ms	(* (* a 27.0) b)
39.0ms	(* (* y 9.0) (* z t))

series301.0ms

Counts

3 → 9

Calls

3 calls:

233.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
28.0ms	(* (* a 27.0) b)
40.0ms	(* (* y 9.0) (* z t))

simplify1.7s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1408
1	360
0	136

prune495.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (* y 9.0) (* z t))
8.5b	(cbrt (* (* a 27.0) b))
8.5b	(cbrt (* (* a 27.0) b))
8.5b	(cbrt (* (* a 27.0) b))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 61

Calls

4 calls:

51.0ms	(* (* y 9.0) (* z t))
17.0ms	(cbrt (* (* a 27.0) b))
22.0ms	(cbrt (* (* a 27.0) b))
16.0ms	(cbrt (* (* a 27.0) b))

series509.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (* y 9.0) (* z t))
154.0ms	(cbrt (* (* a 27.0) b))
158.0ms	(cbrt (* (* a 27.0) b))
142.0ms	(cbrt (* (* a 27.0) b))

simplify2.1s

Counts

73 → 73

Iterations

Iter	Nodes
done	5006
3	2626
2	672
1	227
0	98

prune617.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

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 y)))
0.2b	(* (* a 27.0) b)
9.3b	(* t (* z y))

rewrite178.0ms

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`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
5×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `prod-diff` `associate-+l-` `flip-+`

Counts

4 → 88

Calls

4 calls:

64.0ms	(+ (- (* x 2.0) (* 9.0 (* t (* z y)))) (* (* a 27.0) b))
65.0ms	(* 9.0 (* t (* z y)))
19.0ms	(* (* a 27.0) b)
26.0ms	(* t (* z y))

series360.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(+ (- (* x 2.0) (* 9.0 (* t (* z y)))) (* (* a 27.0) b))
55.0ms	(* 9.0 (* t (* z y)))
25.0ms	(* (* a 27.0) b)
41.0ms	(* t (* z y))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5003
2	1367
1	378
0	148

prune713.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes964.0ms

Accuracy

62.8% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 3.8b

bsearch1.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	59
1	59
0	41

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.7s

11015×

body

valid