Details

sample224.0ms

Algorithm

intervals

Results

169.0ms

538×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
6	2452
5	1745
4	1125
3	543
2	196
1	66
0	28

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize70.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
3.0b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite310.0ms

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` `insert-posit16` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

29.0ms	(* (* x 18.0) y)
28.0ms	(* (* j 27.0) k)
75.0ms	(* (* (* x 18.0) y) z)
176.0ms	(* (* (* (* x 18.0) y) z) t)

series179.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x 18.0) y)
36.0ms	(* (* j 27.0) k)
50.0ms	(* (* (* x 18.0) y) z)
66.0ms	(* (* (* (* x 18.0) y) z) t)

simplify7.1s

Counts

97 → 97

Iterations

Iter	Nodes
3	9045
2	1555
1	369
0	141

prune799.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
0.4b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
6.5b	(* (* (* x 18.0) y) (* z t))

rewrite411.0ms

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`
4×	`insert-posit16`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 83

Calls

4 calls:

300.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
18.0ms	(* (* x 18.0) y)
14.0ms	(* (* j 27.0) k)
77.0ms	(* (* (* x 18.0) y) (* z t))

series340.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
30.0ms	(* (* x 18.0) y)
22.0ms	(* (* j 27.0) k)
55.0ms	(* (* (* x 18.0) y) (* z t))

simplify4.2s

Counts

95 → 95

Iterations

Iter	Nodes
3	9264
2	1726
1	445
0	164

prune701.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
0.5b	(* (* j 27.0) k)
4.1b	(* (* x 18.0) (* y (* z t)))
5.1b	(* y (* z t))

rewrite385.0ms

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`
4×	`insert-posit16`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 83

Calls

4 calls:

264.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
23.0ms	(* (* j 27.0) k)
75.0ms	(* (* x 18.0) (* y (* z t)))
22.0ms	(* y (* z t))

series402.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
34.0ms	(* (* j 27.0) k)
69.0ms	(* (* x 18.0) (* y (* z t)))
26.0ms	(* y (* z t))

simplify3.3s

Counts

95 → 95

Iterations

Iter	Nodes
3	9044
2	1683
1	435
0	161

prune671.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

5.1b	(* y (* z t))
9.8b	(cbrt (* (* j 27.0) k))
9.8b	(cbrt (* (* j 27.0) k))
9.8b	(cbrt (* (* j 27.0) k))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 49

Calls

4 calls:

28.0ms	(* y (* z t))
19.0ms	(cbrt (* (* j 27.0) k))
19.0ms	(cbrt (* (* j 27.0) k))
20.0ms	(cbrt (* (* j 27.0) k))

series530.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* y (* z t))
165.0ms	(cbrt (* (* j 27.0) k))
183.0ms	(cbrt (* (* j 27.0) k))
140.0ms	(cbrt (* (* j 27.0) k))

simplify2.3s

Counts

61 → 61

Iterations

Iter	Nodes
4	2980
3	1245
2	438
1	178
0	82

prune663.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes1.9s

Accuracy

69.7% (1.6b remaining)

Error of 2.0b against oracle of 0.4b and baseline of 5.5b

bsearch452.0ms

Steps

Iters	Range		Point
7	1752.8541968760296	227388.21434150374	22289.977042498147
8	-5.402645537653403e-36	-5.542946576191101e-40	-2.290721253144602e-39

simplify16.0ms

Iterations

Iter	Nodes
2	68
1	68
0	46

end0.0ms

sample5.9s

Algorithm

intervals

Results

4.4s

16085×

body

valid