Details

sample173.0ms

Algorithm

intervals

Results

89.0ms

486×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* z 18.0))
0.2b	(* j (* k 27.0))
3.4b	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
4.1b	(* y (* x (* z 18.0)))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-l`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

13.0ms	(* x (* z 18.0))
13.0ms	(* j (* k 27.0))
199.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
64.0ms	(* y (* x (* z 18.0)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* x (* z 18.0))
28.0ms	(* j (* k 27.0))
123.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
51.0ms	(* y (* x (* z 18.0)))

simplify914.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1727
1	370
0	145

prune833.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* z 18.0))
0.2b	(* (* j k) 27.0)
3.4b	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
4.1b	(* y (* x (* z 18.0)))

rewrite314.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`*-commutative` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

25.0ms	(* x (* z 18.0))
25.0ms	(* (* j k) 27.0)
209.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
50.0ms	(* y (* x (* z 18.0)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* x (* z 18.0))
36.0ms	(* (* j k) 27.0)
138.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
56.0ms	(* y (* x (* z 18.0)))

simplify1.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1996
1	384
0	147

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z x) 18.0)
0.2b	(* (* j k) 27.0)
3.4b	(* (- (* y (* (* z x) 18.0)) (* a 4.0)) t)
4.1b	(* y (* (* z x) 18.0))

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

14.0ms	(* (* z x) 18.0)
21.0ms	(* (* j k) 27.0)
202.0ms	(* (- (* y (* (* z x) 18.0)) (* a 4.0)) t)
69.0ms	(* y (* (* z x) 18.0))

series250.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* z x) 18.0)
36.0ms	(* (* j k) 27.0)
143.0ms	(* (- (* y (* (* z x) 18.0)) (* a 4.0)) t)
41.0ms	(* y (* (* z x) 18.0))

simplify1.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	2266
1	395
0	150

prune739.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize73.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.9b	(* (* z x) (* 18.0 (cbrt y)))
2.5b	(* (* (cbrt y) (cbrt y)) (* (* z x) (* 18.0 (cbrt y))))
3.4b	(* (- (* (* (cbrt y) (cbrt y)) (* (* z x) (* 18.0 (cbrt y)))) (* a 4.0)) t)

rewrite730.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1` `add-exp-log`
43×	`add-cbrt-cube`
40×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`add-log-exp`
3×	`cbrt-prod` `*-commutative`
2×	`associate-*l/`
1×	`flip3--` `pow1/3` `flip--` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

2.0ms	(cbrt y)
45.0ms	(* (* z x) (* 18.0 (cbrt y)))
148.0ms	(* (* (cbrt y) (cbrt y)) (* (* z x) (* 18.0 (cbrt y))))
528.0ms	(* (- (* (* (cbrt y) (cbrt y)) (* (* z x) (* 18.0 (cbrt y)))) (* a 4.0)) t)

series717.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(cbrt y)
131.0ms	(* (* z x) (* 18.0 (cbrt y)))
75.0ms	(* (* (cbrt y) (cbrt y)) (* (* z x) (* 18.0 (cbrt y))))
221.0ms	(* (- (* (* (cbrt y) (cbrt y)) (* (* z x) (* 18.0 (cbrt y)))) (* a 4.0)) t)

simplify1.4s

Counts

105 → 105

Iterations

Iter	Nodes
done	5002
2	2536
1	467
0	157

prune725.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.2b

regimes3.2s

Accuracy

57.4% (1.5b remaining)

Error of 3.6b against oracle of 2.1b and baseline of 5.6b

bsearch4.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	79
4	79
3	73
2	67
1	63
0	42

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.9s

16234×

body

valid