Details

sample36.0ms

Algorithm

intervals

Results

19.0ms	313×	body	80	valid
2.0ms	8×	body	1280	valid
1.0ms	8×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	4×	body	160	valid

simplify36.0ms

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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:

32.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify860.0ms

Counts

28 → 28

Iterations

Iter	Nodes
3	3070
2	553
1	146
0	51

prune215.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:

7.0ms	(+ (* d1 d2) (* d1 (+ 3 d3)))
28.0ms	(* d1 (+ 3 d3))

series96.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ (* d1 d2) (* d1 (+ 3 d3)))
36.0ms	(* d1 (+ 3 d3))

simplify1.3s

Counts

45 → 45

Iterations

Iter	Nodes
3	4114
2	865
1	220
0	73

prune279.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))
0.4b	(cbrt (+ d2 (+ 3 d3)))
0.4b	(cbrt (+ d2 (+ 3 d3)))
0.4b	(cbrt (+ d2 (+ 3 d3)))

rewrite96.0ms

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:

68.0ms	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))
8.0ms	(cbrt (+ d2 (+ 3 d3)))
7.0ms	(cbrt (+ d2 (+ 3 d3)))
11.0ms	(cbrt (+ d2 (+ 3 d3)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))
94.0ms	(cbrt (+ d2 (+ 3 d3)))
90.0ms	(cbrt (+ d2 (+ 3 d3)))
110.0ms	(cbrt (+ d2 (+ 3 d3)))

simplify822.0ms

Counts

121 → 121

Iterations

Iter	Nodes
3	2138
2	806
1	315
0	130

prune693.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* d1 d2) (/ (* d1 (- 9 (* d3 d3))) (- 3 d3)))
5.7b	(* d1 (- 9 (* d3 d3)))
9.9b	(/ (* d1 (- 9 (* d3 d3))) (- 3 d3))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r*` `times-frac` `add-log-exp`
4×	`associate-r` `associate-*r/`
3×	`flip3--` `associate-l` `insert-posit16` `flip--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out--` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

22.0ms	(+ (* d1 d2) (/ (* d1 (- 9 (* d3 d3))) (- 3 d3)))
12.0ms	(* d1 (- 9 (* d3 d3)))
24.0ms	(/ (* d1 (- 9 (* d3 d3))) (- 3 d3))

series260.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (* d1 d2) (/ (* d1 (- 9 (* d3 d3))) (- 3 d3)))
71.0ms	(* d1 (- 9 (* d3 d3)))
96.0ms	(/ (* d1 (- 9 (* d3 d3))) (- 3 d3))

simplify3.0s

Counts

77 → 77

Iterations

Iter	Nodes
3	6397
2	1409
1	375
0	136

prune594.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	12
1	12
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

714.0ms	9597×	body	80	valid
60.0ms	104×	body	1280	valid
57.0ms	77×	body	160	valid
53.0ms	204×	body	640	valid
31.0ms	160×	body	320	valid