Details

sample95.0ms

Algorithm

intervals

Results

36.0ms	345×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify748.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	452
6	452
5	378
4	231
3	113
2	39
1	19
0	11

prune60.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 5.0 (+ d2 (+ 32.0 d3)))
0.0b	(* d1 (+ 5.0 (+ d2 (+ 32.0 d3))))

rewrite944.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

124.0ms	(+ 5.0 (+ d2 (+ 32.0 d3)))
804.0ms	(* d1 (+ 5.0 (+ d2 (+ 32.0 d3))))

series205.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ 5.0 (+ d2 (+ 32.0 d3)))
133.0ms	(* d1 (+ 5.0 (+ d2 (+ 32.0 d3))))

simplify7.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	5005
2	872
1	218
0	75

prune711.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize77.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ d3 5.0) d1)
0.0b	(+ (* d1 d2) (* (+ d3 5.0) d1))
0.0b	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

62.0ms	(* (+ d3 5.0) d1)
18.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
98.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series444.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(* (+ d3 5.0) d1)
132.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
182.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify3.7s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	995
1	275
0	93

prune807.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt d1) (cbrt d1))
0.6b	(cbrt d1)
0.6b	(cbrt d1)
0.6b	(cbrt d1)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

31.0ms	(* (cbrt d1) (cbrt d1))
2.0ms	(cbrt d1)
2.0ms	(cbrt d1)
2.0ms	(cbrt d1)

series3.0s

Counts

4 → 12

Calls

4 calls:

1.2s	(* (cbrt d1) (cbrt d1))
434.0ms	(cbrt d1)
1.0s	(cbrt d1)
389.0ms	(cbrt d1)

simplify11.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
4	3731
3	1004
2	372
1	137
0	61

prune897.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 5.0 5.0) (* (+ d2 (+ 32.0 d3)) (+ d2 (+ 32.0 d3))))
0.1b	(* (+ d2 (+ 32.0 d3)) (+ d2 (+ 32.0 d3)))
5.3b	(* d1 (- (* 5.0 5.0) (* (+ d2 (+ 32.0 d3)) (+ d2 (+ 32.0 d3)))))
18.1b	(/ (* d1 (- (* 5.0 5.0) (* (+ d2 (+ 32.0 d3)) (+ d2 (+ 32.0 d3))))) (- 5.0 (+ d2 (+ 32.0 d3))))

rewrite516.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
30×	`distribute-lft-out`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`associate-r`
8×	`associate-l`
7×	`times-frac` `associate-/r*`
6×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out--` `add-log-exp`
4×	`distribute-rgt-in` `frac-times` `flip3--` `distribute-lft-in` `flip--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `associate--r+` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 120

Calls

4 calls:

16.0ms	(- (* 5.0 5.0) (* (+ d2 (+ 32.0 d3)) (+ d2 (+ 32.0 d3))))
218.0ms	(* (+ d2 (+ 32.0 d3)) (+ d2 (+ 32.0 d3)))
61.0ms	(* d1 (- (* 5.0 5.0) (* (+ d2 (+ 32.0 d3)) (+ d2 (+ 32.0 d3)))))
211.0ms	(/ (* d1 (- (* 5.0 5.0) (* (+ d2 (+ 32.0 d3)) (+ d2 (+ 32.0 d3))))) (- 5.0 (+ d2 (+ 32.0 d3))))

series590.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (* 5.0 5.0) (* (+ d2 (+ 32.0 d3)) (+ d2 (+ 32.0 d3))))
45.0ms	(* (+ d2 (+ 32.0 d3)) (+ d2 (+ 32.0 d3)))
190.0ms	(* d1 (- (* 5.0 5.0) (* (+ d2 (+ 32.0 d3)) (+ d2 (+ 32.0 d3)))))
248.0ms	(/ (* d1 (- (* 5.0 5.0) (* (+ d2 (+ 32.0 d3)) (+ d2 (+ 32.0 d3))))) (- 5.0 (+ d2 (+ 32.0 d3))))

simplify4.4s

Counts

132 → 132

Iterations

Iter	Nodes
done	5001
2	2607
1	647
0	200

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes303.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s	10096×	body	80	valid
5.0ms	19×	body	640	valid
2.0ms	11×	body	320	valid
2.0ms	6×	body	1280	valid
2.0ms	12×	body	160	valid