Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

375×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	11	15
1	25	13
2	68	11
3	181	9
4	389	9
5	679	9
6	905	9
7	1342	9
8	1657	9
9	1675	9
done	1675	9

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `associate-r`
4×	`distribute-lft-out--`
3×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/` `associate--l+` `distribute-lft-out`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 30

Calls

1 calls:

122.0ms

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

series229.0ms

Counts

1 → 3

Calls

1 calls:

229.0ms

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

simplify1.1s

Counts

33 → 33

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	63	379
1	151	362
2	455	322
3	2108	322
done	5001	322

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`diff-log`
4×	`add-sqr-sqrt` `sum-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip--`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 45

Calls

3 calls:

60.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
11.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
3.0ms	(- (* d1 d2) (* d1 d3))

series127.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
36.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
37.0ms	(- (* d1 d2) (* d1 d3))

simplify1.6s

Counts

54 → 54

Iterations

Useful iterations: 3 (543.0ms)

Iter	Nodes	Cost
0	88	867
1	256	659
2	942	547
3	3896	529
done	5001	529

prune121.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ d4 (- d2 d3)) (+ d4 (- d2 d3))) (* d1 d1))
0.0b	(* (+ d4 (- d2 d3)) (+ d4 (- d2 d3)))
13.5b	(* d1 (- (* (+ d4 (- d2 d3)) (+ d4 (- d2 d3))) (* d1 d1)))
24.0b	(/ (* d1 (- (* (+ d4 (- d2 d3)) (+ d4 (- d2 d3))) (* d1 d1))) (+ (+ d4 (- d2 d3)) d1))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

19.0ms	(- (* (+ d4 (- d2 d3)) (+ d4 (- d2 d3))) (* d1 d1))
52.0ms	(* (+ d4 (- d2 d3)) (+ d4 (- d2 d3)))
69.0ms	(* d1 (- (* (+ d4 (- d2 d3)) (+ d4 (- d2 d3))) (* d1 d1)))
79.0ms	(/ (* d1 (- (* (+ d4 (- d2 d3)) (+ d4 (- d2 d3))) (* d1 d1))) (+ (+ d4 (- d2 d3)) d1))

series678.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(- (* (+ d4 (- d2 d3)) (+ d4 (- d2 d3))) (* d1 d1))
60.0ms	(* (+ d4 (- d2 d3)) (+ d4 (- d2 d3)))
236.0ms	(* d1 (- (* (+ d4 (- d2 d3)) (+ d4 (- d2 d3))) (* d1 d1)))
169.0ms	(/ (* d1 (- (* (+ d4 (- d2 d3)) (+ d4 (- d2 d3))) (* d1 d1))) (+ (+ d4 (- d2 d3)) d1))

simplify985.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (351.0ms)

Iter	Nodes	Cost
0	193	2943
1	544	2699
2	2209	2349
done	5000	2349

prune234.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes91.0ms

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	8	9
1	10	9
done	10	9

end0.0ms

sample728.0ms

Algorithm

intervals

Results

420.0ms

12002×

body

valid