Details

sample43.0ms

Algorithm

intervals

Results

19.0ms	299×	body	80	valid
1.0ms	10×	body	320	valid
1.0ms	9×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid

simplify40.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite71.0ms

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:

69.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify579.0ms

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
2	742
1	165
0	51

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:

6.0ms	(+ (* d1 d2) (* (+ d3 3.0) d1))
16.0ms	(* (+ d3 3.0) d1)

series105.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* d1 d2) (* (+ d3 3.0) d1))
42.0ms	(* (+ d3 3.0) d1)

simplify540.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	955
1	190
0	67

prune173.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

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

rewrite209.0ms

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:

3.0ms	(cbrt (+ d3 3.0))
56.0ms	(* (cbrt (+ d3 3.0)) (cbrt (+ d3 3.0)))
110.0ms	(* (* (cbrt (+ d3 3.0)) (cbrt (+ d3 3.0))) (* d1 (cbrt (+ d3 3.0))))
34.0ms	(* d1 (cbrt (+ d3 3.0)))

series464.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (+ d3 3.0))
128.0ms	(* (cbrt (+ d3 3.0)) (cbrt (+ d3 3.0)))
47.0ms	(* (* (cbrt (+ d3 3.0)) (cbrt (+ d3 3.0))) (* d1 (cbrt (+ d3 3.0))))
160.0ms	(* d1 (cbrt (+ d3 3.0)))

simplify1.6s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
2	3166
1	743
0	258

prune736.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* d1 d2) (/ (* d1 (* (- d3 3.0) (+ d3 3.0))) (- d3 3.0)))
4.3b	(* d1 (* (- d3 3.0) (+ d3 3.0)))
8.0b	(/ (* d1 (* (- d3 3.0) (+ d3 3.0))) (- d3 3.0))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

37.0ms	(+ (* d1 d2) (/ (* d1 (* (- d3 3.0) (+ d3 3.0))) (- d3 3.0)))
64.0ms	(* d1 (* (- d3 3.0) (+ d3 3.0)))
40.0ms	(/ (* d1 (* (- d3 3.0) (+ d3 3.0))) (- d3 3.0))

series226.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (* d1 d2) (/ (* d1 (* (- d3 3.0) (+ d3 3.0))) (- d3 3.0)))
112.0ms	(* d1 (* (- d3 3.0) (+ d3 3.0)))
62.0ms	(/ (* d1 (* (- d3 3.0) (+ d3 3.0))) (- d3 3.0))

simplify1.4s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	3496
1	535
0	163

prune422.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes127.0ms

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

sample1.2s

Algorithm

intervals

Results

643.0ms	9595×	body	80	valid
46.0ms	220×	body	640	valid
20.0ms	145×	body	320	valid
16.0ms	71×	body	1280	valid
9.0ms	87×	body	160	valid