Details

sample34.0ms

Algorithm

intervals

Results

17.0ms

365×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	11	284
1	25	244
2	69	204
3	185	164
4	412	164
5	1018	164
6	3220	164
done	5000	164

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* d1 d2) (* d1 d3))
0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
2×	`add-sqr-sqrt` `pow1` `associate-+l+` `sum-log` `sub-neg` `*-un-lft-identity` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt`
1×	`+-commutative` `flip3-+` `flip3--` `associate-+l-` `flip-+` `flip--` `distribute-lft-out--`

Counts

2 → 28

Calls

2 calls:

7.0ms	(- (* d1 d2) (* d1 d3))
23.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series111.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (* d1 d2) (* d1 d3))
56.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify2.4s

Counts

34 → 34

Iterations

Useful iterations: 3 (878.0ms)

Iter	Nodes	Cost
0	59	8373
1	178	6491
2	624	5891
3	2521	5811
done	5004	5811

prune217.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d4 (- d2 d3)))

rewrite73.0ms

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`
2×	`associate-*r/` `distribute-lft-out`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

72.0ms

(* d1 (+ d4 (- d2 d3)))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* d1 (+ d4 (- d2 d3)))

simplify2.7s

Counts

27 → 27

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	52	4882
1	154	4348
2	555	4308
3	2913	4188
done	5046	4188

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (+ d4 (- d2 d3)))
0.3b	(* (sqrt (* d1 (+ d4 (- d2 d3)))) (sqrt (* d1 (+ d4 (- d2 d3)))))
1.5b	(sqrt (* d1 (+ d4 (- d2 d3))))
1.5b	(sqrt (* d1 (+ d4 (- d2 d3))))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`pow-prod-up` `add-cube-cbrt`
9×	`flip3-+` `associate-r` `flip-+`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`pow-sqr` `sqrt-prod`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `rem-square-sqrt` `distribute-lft-in` `pow-plus` `sqrt-unprod` `distribute-lft-out--`

Counts

4 → 107

Calls

4 calls:

47.0ms	(* d1 (+ d4 (- d2 d3)))
113.0ms	(* (sqrt (* d1 (+ d4 (- d2 d3)))) (sqrt (* d1 (+ d4 (- d2 d3)))))
12.0ms	(sqrt (* d1 (+ d4 (- d2 d3))))
12.0ms	(sqrt (* d1 (+ d4 (- d2 d3))))

series905.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* d1 (+ d4 (- d2 d3)))
332.0ms	(* (sqrt (* d1 (+ d4 (- d2 d3)))) (sqrt (* d1 (+ d4 (- d2 d3)))))
267.0ms	(sqrt (* d1 (+ d4 (- d2 d3))))
267.0ms	(sqrt (* d1 (+ d4 (- d2 d3))))

simplify1.7s

Counts

119 → 119

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	136	30588
1	363	23440
2	1157	23040
done	5002	22840

prune512.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(* d1 (sqrt (+ d4 (- d2 d3))))
0.1b	(* (* d1 (sqrt (+ d4 (- d2 d3)))) (sqrt (+ d4 (- d2 d3))))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`associate-r`
14×	`sqrt-div`
11×	`add-sqr-sqrt` `sqrt-prod`
10×	`associate-*r/`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`flip3-+` `add-cube-cbrt` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out`
2×	`associate-l/` `-commutative` `distribute-lft-out--` `add-log-exp` `unswap-sqr`

Counts

2 → 57

Calls

2 calls:

46.0ms	(* d1 (sqrt (+ d4 (- d2 d3))))
94.0ms	(* (* d1 (sqrt (+ d4 (- d2 d3)))) (sqrt (+ d4 (- d2 d3))))

series125.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(* d1 (sqrt (+ d4 (- d2 d3))))
37.0ms	(* (* d1 (sqrt (+ d4 (- d2 d3)))) (sqrt (+ d4 (- d2 d3))))

simplify2.5s

Counts

63 → 63

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	104	19441
1	276	15257
2	903	14817
3	3232	14657
done	5049	14657

prune203.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes219.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	284
1	15	284
done	15	284

end0.0ms

sample1.2s

Algorithm

intervals

Results

926.0ms

11956×

body

valid