Details

sample34.0ms

Algorithm

intervals

Results

11.0ms	302×	body	80	valid
1.0ms	9×	body	320	valid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	5×	body	160	valid

simplify54.0ms

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite77.0ms

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:

76.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify531.0ms

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
2	742
1	165
0	51

prune122.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

34.0ms	(* (+ d3 3.0) d1)
13.0ms	(+ (* d1 d2) (* (+ d3 3.0) d1))

series88.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (+ d3 3.0) d1)
48.0ms	(+ (* d1 d2) (* (+ d3 3.0) d1))

simplify460.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5001
2	834
1	190
0	67

prune199.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 140

Calls

4 calls:

6.0ms	(cbrt (+ d3 3.0))
59.0ms	(* (cbrt (+ d3 3.0)) (cbrt (+ d3 3.0)))
104.0ms	(* (* (cbrt (+ d3 3.0)) (cbrt (+ d3 3.0))) (* d1 (cbrt (+ d3 3.0))))
31.0ms	(* d1 (cbrt (+ d3 3.0)))

series547.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (+ d3 3.0))
192.0ms	(* (cbrt (+ d3 3.0)) (cbrt (+ d3 3.0)))
41.0ms	(* (* (cbrt (+ d3 3.0)) (cbrt (+ d3 3.0))) (* d1 (cbrt (+ d3 3.0))))
197.0ms	(* d1 (cbrt (+ d3 3.0)))

simplify1.5s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
2	3166
1	743
0	258

prune816.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cbrt (* (- d3 3.0) (+ d3 3.0))) 3)
3.3b	(* d1 (pow (cbrt (* (- d3 3.0) (+ d3 3.0))) 3))
9.2b	(/ (* d1 (pow (cbrt (* (- d3 3.0) (+ d3 3.0))) 3)) (- d3 3.0))
12.4b	(cbrt (* (- d3 3.0) (+ d3 3.0)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-div`
24×	`cube-div` `add-sqr-sqrt` `associate-*r/`
20×	`add-exp-log`
17×	`*-un-lft-identity`
16×	`frac-times`
14×	`associate-r`
13×	`flip3--` `add-cube-cbrt` `flip--`
12×	`flip3-+` `flip-+`
11×	`add-cbrt-cube`
9×	`unpow-prod-down` `cube-prod`
8×	`associate-*l/` `associate-/l/`
6×	`prod-exp`
5×	`cbrt-prod` `pow1` `associate-/r*` `times-frac`
4×	`div-exp` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `pow-unpow` `associate-l` `pow-exp` `sqr-pow`
2×	`cube-mult` `cbrt-undiv` `pow-pow` `pow1/3` `unpow3` `associate-/r/` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
1×	`clear-num` `frac-2neg` `-commutative` `div-inv` `associate-/l` `rem-cube-cbrt`

Counts

4 → 129

Calls

4 calls:

11.0ms	(pow (cbrt (* (- d3 3.0) (+ d3 3.0))) 3)
30.0ms	(* d1 (pow (cbrt (* (- d3 3.0) (+ d3 3.0))) 3))
37.0ms	(/ (* d1 (pow (cbrt (* (- d3 3.0) (+ d3 3.0))) 3)) (- d3 3.0))
19.0ms	(cbrt (* (- d3 3.0) (+ d3 3.0)))

series2.0s

Counts

4 → 12

Calls

4 calls:

1.5s	(pow (cbrt (* (- d3 3.0) (+ d3 3.0))) 3)
138.0ms	(* d1 (pow (cbrt (* (- d3 3.0) (+ d3 3.0))) 3))
96.0ms	(/ (* d1 (pow (cbrt (* (- d3 3.0) (+ d3 3.0))) 3)) (- d3 3.0))
332.0ms	(cbrt (* (- d3 3.0) (+ d3 3.0)))

simplify479.0ms

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
1	807
0	259

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

917.0ms	9496×	body	80	valid
45.0ms	96×	body	160	valid
45.0ms	207×	body	640	valid
25.0ms	101×	body	1280	valid
18.0ms	133×	body	320	valid