Details

sample41.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify480.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	565
7	565
6	558
5	483
4	348
3	169
2	58
1	19
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (+ e d) c)
0.3b	(+ (+ (+ (+ e d) c) b) a)
0.3b	(+ (+ (+ e d) c) b)

rewrite599.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
19×	`sum-log` `distribute-lft-out`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

3 → 51

Calls

3 calls:

21.0ms	(+ (+ e d) c)
481.0ms	(+ (+ (+ (+ e d) c) b) a)
95.0ms	(+ (+ (+ e d) c) b)

series143.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (+ e d) c)
73.0ms	(+ (+ (+ (+ e d) c) b) a)
49.0ms	(+ (+ (+ e d) c) b)

simplify823.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
2	1154
1	234
0	83

prune276.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(+ (+ (+ e d) (+ c b)) a)
0.3b	(+ (+ e d) (+ c b))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity` `add-log-exp`
21×	`sum-log` `distribute-lft-out`
6×	`flip3-+` `flip-+`
4×	`frac-add`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
1×	`associate-+r+`

Counts

2 → 45

Calls

2 calls:

172.0ms	(+ (+ (+ e d) (+ c b)) a)
35.0ms	(+ (+ e d) (+ c b))

series145.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(+ (+ (+ e d) (+ c b)) a)
51.0ms	(+ (+ e d) (+ c b))

simplify1.2s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
2	1389
1	339
0	105

prune262.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ e (+ (+ b (+ c d)) a))
0.2b	(+ b (+ c d))
0.2b	(+ (+ b (+ c d)) a)
3.3b	(exp (+ e (+ (+ b (+ c d)) a)))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity` `add-log-exp`
29×	`sum-log` `distribute-lft-out`
7×	`exp-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `rem-exp-log`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`+-commutative` `flip3-+` `flip-+`
2×	`associate-+r+`
1×	`associate-+l+` `exp-sum`

Counts

4 → 71

Calls

4 calls:

188.0ms	(+ e (+ (+ b (+ c d)) a))
23.0ms	(+ b (+ c d))
91.0ms	(+ (+ b (+ c d)) a)
713.0ms	(exp (+ e (+ (+ b (+ c d)) a)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ e (+ (+ b (+ c d)) a))
17.0ms	(+ b (+ c d))
42.0ms	(+ (+ b (+ c d)) a)
74.0ms	(exp (+ e (+ (+ b (+ c d)) a)))

simplify1.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1365
1	284
0	96

prune411.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (exp b) (* (exp c) (exp d))) (exp a))
0.3b	(* (exp e) (* (* (exp b) (* (exp c) (exp d))) (exp a)))
0.4b	(* (exp b) (* (exp c) (exp d)))
0.4b	(* (exp c) (exp d))

rewrite713.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-cbrt-cube`
23×	`*-un-lft-identity`
20×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`exp-prod`
11×	`add-sqr-sqrt`
10×	`associate-l` `add-exp-log` `pow-prod-up`
9×	`add-cube-cbrt`
8×	`associate-r`
4×	`*-commutative` `add-log-exp`
1×	`unswap-sqr`

Counts

4 → 85

Calls

4 calls:

143.0ms	(* (* (exp b) (* (exp c) (exp d))) (exp a))
497.0ms	(* (exp e) (* (* (exp b) (* (exp c) (exp d))) (exp a)))
52.0ms	(* (exp b) (* (exp c) (exp d)))
17.0ms	(* (exp c) (exp d))

series269.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (* (exp b) (* (exp c) (exp d))) (exp a))
130.0ms	(* (exp e) (* (* (exp b) (* (exp c) (exp d))) (exp a)))
42.0ms	(* (exp b) (* (exp c) (exp d)))
22.0ms	(* (exp c) (exp d))

simplify1.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1896
1	354
0	119

prune550.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes283.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

639.0ms	8000×	pre	80	true
381.0ms	8000×	body	80	valid