Details

sample54.0ms

Algorithm

intervals

Results

19.0ms	302×	body	80	valid
2.0ms	9×	body	320	valid
1.0ms	4×	body	1280	valid
1.0ms	3×	body	640	valid
1.0ms	5×	body	160	valid

simplify70.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	71
5	71
4	66
3	52
2	34
1	18
0	9

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (+ 3.0 d3)))

rewrite92.0ms

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-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

91.0ms

(* d1 (+ d2 (+ 3.0 d3)))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(* d1 (+ d2 (+ 3.0 d3)))

simplify991.0ms

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
2	742
1	165
0	51

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ 3.0 d3))
0.0b	(+ (* d1 d2) (* d1 (+ 3.0 d3)))

rewrite38.0ms

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-+` `distribute-lft-out`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

30.0ms	(* d1 (+ 3.0 d3))
7.0ms	(+ (* d1 d2) (* d1 (+ 3.0 d3)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* d1 (+ 3.0 d3))
68.0ms	(+ (* d1 d2) (* d1 (+ 3.0 d3)))

simplify1.0s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
2	1166
1	232
0	72

prune189.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 3.0 d3))
0.3b	(cbrt (+ 3.0 d3))
0.3b	(* (cbrt (+ 3.0 d3)) (cbrt (+ 3.0 d3)))
0.4b	(* (* d1 (* (cbrt (+ 3.0 d3)) (cbrt (+ 3.0 d3)))) (cbrt (+ 3.0 d3)))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
36×	`cbrt-prod` `*-un-lft-identity`
35×	`flip3-+` `flip-+`
34×	`associate-*r/`
32×	`frac-times`
24×	`add-sqr-sqrt`
20×	`pow1`
16×	`associate-*l/` `add-cube-cbrt`
15×	`add-exp-log`
14×	`associate-r`
9×	`swap-sqr` `distribute-lft-out`
8×	`add-cbrt-cube` `pow1/3` `associate-l` `pow-prod-down`
7×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 132

Calls

4 calls:

6.0ms	(cbrt (+ 3.0 d3))
6.0ms	(cbrt (+ 3.0 d3))
45.0ms	(* (cbrt (+ 3.0 d3)) (cbrt (+ 3.0 d3)))
189.0ms	(* (* d1 (* (cbrt (+ 3.0 d3)) (cbrt (+ 3.0 d3)))) (cbrt (+ 3.0 d3)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (+ 3.0 d3))
118.0ms	(cbrt (+ 3.0 d3))
171.0ms	(* (cbrt (+ 3.0 d3)) (cbrt (+ 3.0 d3)))
36.0ms	(* (* d1 (* (cbrt (+ 3.0 d3)) (cbrt (+ 3.0 d3)))) (cbrt (+ 3.0 d3)))

simplify1.8s

Counts

144 → 144

Iterations

Iter	Nodes
done	5000
2	2894
1	634
0	226

prune839.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

9.2b	(/ (* (* d1 (cbrt (* (+ 3.0 d3) (- 3.0 d3)))) (* (cbrt (* (+ 3.0 d3) (- 3.0 d3))) (cbrt (* (+ 3.0 d3) (- 3.0 d3))))) (- 3.0 d3))
12.4b	(cbrt (* (+ 3.0 d3) (- 3.0 d3)))
12.4b	(cbrt (* (+ 3.0 d3) (- 3.0 d3)))
12.4b	(cbrt (* (+ 3.0 d3) (- 3.0 d3)))

rewrite497.0ms

Algorithm

rewrite-expression-head

Rules

2200×	`frac-times`
1968×	`cbrt-div`
1292×	`associate-*r/`
739×	`flip3--` `flip--`
738×	`flip3-+` `flip-+`
728×	`associate-/l/`
572×	`associate-*l/`
22×	`add-exp-log`
16×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`prod-exp` `cbrt-unprod`
6×	`add-cube-cbrt`
5×	`cbrt-undiv` `associate-/r*` `times-frac` `div-exp`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 812

Calls

4 calls:

230.0ms	(/ (* (* d1 (cbrt (* (+ 3.0 d3) (- 3.0 d3)))) (* (cbrt (* (+ 3.0 d3) (- 3.0 d3))) (cbrt (* (+ 3.0 d3) (- 3.0 d3))))) (- 3.0 d3))
9.0ms	(cbrt (* (+ 3.0 d3) (- 3.0 d3)))
9.0ms	(cbrt (* (+ 3.0 d3) (- 3.0 d3)))
14.0ms	(cbrt (* (+ 3.0 d3) (- 3.0 d3)))

series1.0s

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (* (* d1 (cbrt (* (+ 3.0 d3) (- 3.0 d3)))) (* (cbrt (* (+ 3.0 d3) (- 3.0 d3))) (cbrt (* (+ 3.0 d3) (- 3.0 d3))))) (- 3.0 d3))
316.0ms	(cbrt (* (+ 3.0 d3) (- 3.0 d3)))
278.0ms	(cbrt (* (+ 3.0 d3) (- 3.0 d3)))
407.0ms	(cbrt (* (+ 3.0 d3) (- 3.0 d3)))

simplify3.0s

Counts

824 → 824

Iterations

Iter	Nodes
done	5000
1	3447
0	1339

prune10.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes176.0ms

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
done	10
1	10
0	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

868.0ms	9496×	body	80	valid
84.0ms	207×	body	640	valid
20.0ms	101×	body	1280	valid
15.0ms	133×	body	320	valid
8.0ms	96×	body	160	valid