Details

sample192.0ms

Algorithm

intervals

Results

134.0ms

509×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

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

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c b) (* (* 27.0 j) k))
0.4b	(* (* 27.0 j) k)
4.6b	(* (- (* (* x 18.0) (* y z)) (* a 4.0)) t)
5.0b	(* (* x 18.0) (* y z))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-l`
4×	`insert-posit16`
3×	`*-commutative`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

14.0ms	(- (* c b) (* (* 27.0 j) k))
26.0ms	(* (* 27.0 j) k)
126.0ms	(* (- (* (* x 18.0) (* y z)) (* a 4.0)) t)
23.0ms	(* (* x 18.0) (* y z))

series245.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (* c b) (* (* 27.0 j) k))
22.0ms	(* (* 27.0 j) k)
104.0ms	(* (- (* (* x 18.0) (* y z)) (* a 4.0)) t)
31.0ms	(* (* x 18.0) (* y z))

simplify2.3s

Counts

88 → 88

Iterations

Iter	Nodes
3	6822
2	1532
1	435
0	163

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.7b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c b) (* 27.0 (* j k)))
0.2b	(* 27.0 (* j k))
4.6b	(* (- (* (* x 18.0) (* y z)) (* a 4.0)) t)
5.0b	(* (* x 18.0) (* y z))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-r`
4×	`insert-posit16`
3×	`*-commutative`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

15.0ms	(- (* c b) (* 27.0 (* j k)))
24.0ms	(* 27.0 (* j k))
135.0ms	(* (- (* (* x 18.0) (* y z)) (* a 4.0)) t)
23.0ms	(* (* x 18.0) (* y z))

series231.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* c b) (* 27.0 (* j k)))
22.0ms	(* 27.0 (* j k))
102.0ms	(* (- (* (* x 18.0) (* y z)) (* a 4.0)) t)
44.0ms	(* (* x 18.0) (* y z))

simplify2.8s

Counts

88 → 88

Iterations

Iter	Nodes
3	6413
2	1424
1	415
0	160

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.7b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 27.0 (* j k))
0.3b	(* 18.0 (* x (* z y)))
4.6b	(* (- (* 18.0 (* x (* z y))) (* a 4.0)) t)
4.7b	(* x (* z y))

rewrite242.0ms

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` `insert-posit16` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

26.0ms	(* 27.0 (* j k))
51.0ms	(* 18.0 (* x (* z y)))
144.0ms	(* (- (* 18.0 (* x (* z y))) (* a 4.0)) t)
19.0ms	(* x (* z y))

series256.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 27.0 (* j k))
44.0ms	(* 18.0 (* x (* z y)))
141.0ms	(* (- (* 18.0 (* x (* z y))) (* a 4.0)) t)
39.0ms	(* x (* z y))

simplify2.0s

Counts

93 → 93

Iterations

Iter	Nodes
3	5180
2	1222
1	361
0	144

prune1.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.7b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y z) 18.0)
0.2b	(* 27.0 (* j k))
4.6b	(* (- (* x (* (* y z) 18.0)) (* 4.0 a)) t)
4.9b	(* x (* (* y z) 18.0))

rewrite379.0ms

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` `insert-posit16` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

31.0ms	(* (* y z) 18.0)
29.0ms	(* 27.0 (* j k))
267.0ms	(* (- (* x (* (* y z) 18.0)) (* 4.0 a)) t)
50.0ms	(* x (* (* y z) 18.0))

series224.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* y z) 18.0)
22.0ms	(* 27.0 (* j k))
131.0ms	(* (- (* x (* (* y z) 18.0)) (* 4.0 a)) t)
51.0ms	(* x (* (* y z) 18.0))

simplify2.0s

Counts

93 → 93

Iterations

Iter	Nodes
3	5129
2	1332
1	385
0	150

prune2.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.7b

regimes2.5s

Accuracy

31.6% (2.3b remaining)

Error of 4.2b against oracle of 1.9b and baseline of 5.3b

bsearch431.0ms

Steps

Iters	Range		Point
9	9.119078881754756e-103	2.1293245575853755e-96	6.983384062178601e-99
7	-9.197303227536936e-144	-3.700989469347982e-146	-4.5364366178162196e-144

simplify50.0ms

Iterations

Iter	Nodes
4	76
3	76
2	72
1	62
0	44

end0.0ms

sample6.3s

Algorithm

intervals

Results

4.6s

16137×

body

valid