Details

sample68.0ms

Algorithm

intervals

Results

27.0ms	76×	body	1280	valid
9.0ms	41×	body	640	valid
7.0ms	172×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	13×	body	160	valid

simplify8.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	18	6
2	49	6
3	186	6
done	5000	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.2b	(- (exp (* a x)) 1.0)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 24

Calls

2 calls:

8.0ms	(exp (* a x))
25.0ms	(- (exp (* a x)) 1.0)

series100.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(exp (* a x))
75.0ms	(- (exp (* a x)) 1.0)

simplify5.5s

Counts

30 → 30

Iterations

Useful iterations: done (5.5s)

Iter	Nodes	Cost
0	53	263
1	213	244
2	2926	228
done	5001	226

prune90.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* 1/2 (* a x)) 1) (* a x))
0.1b	(* 1/6 (pow (* a x) 3))
0.2b	(pow (* a x) 3)
13.6b	(+ (* (+ (* 1/2 (* a x)) 1) (* a x)) (* 1/6 (pow (* a x) 3)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`pow1`
11×	`add-sqr-sqrt`
9×	`associate-r` `prod-exp`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `add-log-exp`
5×	`cbrt-unprod`
4×	`pow-prod-down` `pow-exp`
3×	`pow-unpow` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `unpow-prod-down` `pow-pow` `flip3-+` `unpow3` `cube-prod` `associate-l/` `-commutative` `flip-+` `rem-cube-cbrt` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

4 → 79

Calls

4 calls:

112.0ms	(* (+ (* 1/2 (* a x)) 1) (* a x))
14.0ms	(* 1/6 (pow (* a x) 3))
6.0ms	(pow (* a x) 3)
91.0ms	(+ (* (+ (* 1/2 (* a x)) 1) (* a x)) (* 1/6 (pow (* a x) 3)))

series418.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (+ (* 1/2 (* a x)) 1) (* a x))
90.0ms	(* 1/6 (pow (* a x) 3))
55.0ms	(pow (* a x) 3)
173.0ms	(+ (* (+ (* 1/2 (* a x)) 1) (* a x)) (* 1/6 (pow (* a x) 3)))

simplify2.4s

Counts

91 → 91

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	124	1219
1	1006	1082
done	5000	974

prune369.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (+ (* 1/2 (* a x)) 1)) (* a x))
0.0b	(* (sqrt (+ (* 1/2 (* a x)) 1)) (* (sqrt (+ (* 1/2 (* a x)) 1)) (* a x)))
0.1b	(* 1/6 (pow (* a x) 3))
0.2b	(pow (* a x) 3)

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
23×	`add-cbrt-cube`
21×	`pow1`
15×	`associate-l` `prod-exp`
14×	`add-sqr-sqrt` `sqrt-div`
11×	`add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
10×	`associate-r` `pow-prod-down` `associate-*l/`
7×	`flip3-+` `flip-+`
6×	`sqrt-prod`
4×	`frac-times` `pow-exp` `add-log-exp`
3×	`pow-unpow` `*-commutative` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `associate-*r/` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

69.0ms	(* (sqrt (+ (* 1/2 (* a x)) 1)) (* a x))
237.0ms	(* (sqrt (+ (* 1/2 (* a x)) 1)) (* (sqrt (+ (* 1/2 (* a x)) 1)) (* a x)))
31.0ms	(* 1/6 (pow (* a x) 3))
6.0ms	(pow (* a x) 3)

series389.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (sqrt (+ (* 1/2 (* a x)) 1)) (* a x))
68.0ms	(* (sqrt (+ (* 1/2 (* a x)) 1)) (* (sqrt (+ (* 1/2 (* a x)) 1)) (* a x)))
105.0ms	(* 1/6 (pow (* a x) 3))
65.0ms	(pow (* a x) 3)

simplify2.9s

Counts

115 → 115

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	163	1999
1	1227	1533
done	5001	1309

prune499.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
4.2b	(- (exp (* a x)) 1.0)
4.2b	(- (exp (* a x)) 1.0)
4.2b	(- (exp (* a x)) 1.0)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

10.0ms	(cbrt (- (exp (* a x)) 1.0))
18.0ms	(- (exp (* a x)) 1.0)
13.0ms	(- (exp (* a x)) 1.0)
16.0ms	(- (exp (* a x)) 1.0)

series291.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (- (exp (* a x)) 1.0))
53.0ms	(- (exp (* a x)) 1.0)
49.0ms	(- (exp (* a x)) 1.0)
51.0ms	(- (exp (* a x)) 1.0)

simplify4.7s

Counts

69 → 69

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	77	831
1	316	767
2	3703	711
done	5000	696

prune268.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes426.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.5b

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	67
1	35	67
done	35	67

end0.0ms

sample2.0s

Algorithm

intervals

Results

852.0ms	2658×	body	1280	valid
314.0ms	1340×	body	640	valid
272.0ms	5416×	body	80	valid
88.0ms	759×	body	320	valid
31.0ms	401×	body	160	valid