Details

sample37.0ms

Algorithm

intervals

Results

21.0ms	317×	body	80	valid
1.0ms	6×	body	320	valid
1.0ms	4×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	1×	body	160	valid

simplify62.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	62
5	62
4	61
3	49
2	33
1	18
0	9

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (+ 3 d3)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

46.0ms

(* d1 (+ d2 (+ 3 d3)))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* d1 (+ d2 (+ 3 d3)))

simplify910.0ms

Counts

28 → 28

Iterations

Iter	Nodes
3	3100
2	558
1	148
0	51

prune279.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ 3 d3))
0.0b	(+ (* d1 d2) (* d1 (+ 3 d3)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `insert-posit16` `distribute-lft-out`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

12.0ms	(* d1 (+ 3 d3))
9.0ms	(+ (* d1 d2) (* d1 (+ 3 d3)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* d1 (+ 3 d3))
58.0ms	(+ (* d1 d2) (* d1 (+ 3 d3)))

simplify1.5s

Counts

45 → 45

Iterations

Iter	Nodes
3	3923
2	825
1	219
0	73

prune410.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ d2 (+ 3 d3)))
0.4b	(cbrt (+ d2 (+ 3 d3)))
0.4b	(cbrt (+ d2 (+ 3 d3)))
0.4b	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

14.0ms	(cbrt (+ d2 (+ 3 d3)))
14.0ms	(cbrt (+ d2 (+ 3 d3)))
13.0ms	(cbrt (+ d2 (+ 3 d3)))
75.0ms	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))

series554.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (+ d2 (+ 3 d3)))
133.0ms	(cbrt (+ d2 (+ 3 d3)))
132.0ms	(cbrt (+ d2 (+ 3 d3)))
137.0ms	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))

simplify818.0ms

Counts

121 → 121

Iterations

Iter	Nodes
3	2191
2	831
1	317
0	130

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* d3 d3) (* 3 d3))
0.1b	(* d3 (* d3 d3))
4.0b	(* d1 (+ (* d3 (* d3 d3)) 27))
13.8b	(/ (* d1 (+ (* d3 (* d3 d3)) 27)) (+ (* 3 3) (- (* d3 d3) (* 3 d3))))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`associate-r` `pow-prod-down` `associate-*r/` `insert-posit16`
3×	`associate-/r*` `flip3-+` `times-frac` `flip-+`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `*-commutative` `unswap-sqr` `associate-/l/`
1×	`pow2` `distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-plus` `flip3--` `distribute-rgt-out--` `diff-log` `cube-unmult` `pow-sqr` `div-inv` `flip--` `associate-/l*`

Counts

4 → 88

Calls

4 calls:

14.0ms	(- (* d3 d3) (* 3 d3))
26.0ms	(* d3 (* d3 d3))
83.0ms	(* d1 (+ (* d3 (* d3 d3)) 27))
72.0ms	(/ (* d1 (+ (* d3 (* d3 d3)) 27)) (+ (* 3 3) (- (* d3 d3) (* 3 d3))))

series464.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* d3 d3) (* 3 d3))
62.0ms	(* d3 (* d3 d3))
127.0ms	(* d1 (+ (* d3 (* d3 d3)) 27))
192.0ms	(/ (* d1 (+ (* d3 (* d3 d3)) 27)) (+ (* 3 3) (- (* d3 d3) (* 3 d3))))

simplify4.3s

Counts

100 → 100

Iterations

Iter	Nodes
3	9108
2	1653
1	451
0	157

prune939.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	10
1	10
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

820.0ms	9521×	body	80	valid
54.0ms	205×	body	640	valid
34.0ms	103×	body	1280	valid
30.0ms	150×	body	320	valid
11.0ms	82×	body	160	valid