Details

sample83.0ms

Algorithm

intervals

Results

31.0ms	103×	body	1280	valid
16.0ms	79×	body	640	valid
11.0ms	373×	pre	80	true
7.0ms	49×	body	320	valid
4.0ms	122×	body	80	valid
2.0ms	20×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	8
2	8
1	7
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize11.0ms

Local error

Found 1 expressions with local error:

6.1b	(- (exp x) 1)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity`
3×	`add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--`

Counts

1 → 17

Calls

1 calls:

17.0ms

(- (exp x) 1)

series25.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(- (exp x) 1)

simplify1.4s

Counts

20 → 20

Iterations

Iter	Nodes
5	2129
4	986
3	409
2	182
1	86
0	42

prune121.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x x) (+ 1/2 (* x 1/6)))
0.3b	(* x 1/6)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 43

Calls

2 calls:

41.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
6.0ms	(* x 1/6)

series120.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
25.0ms	(* x 1/6)

simplify1.6s

Counts

49 → 49

Iterations

Iter	Nodes
3	3789
2	790
1	238
0	81

prune369.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp x) 1) (exp x))
0.0b	(exp (* x 3))
0.0b	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
6.0b	(+ (exp (* x 3)) -1)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1` `distribute-lft-out`
5×	`difference-of-sqr--1` `associate-/l*`
4×	`flip3-+` `associate-l` `flip-+` `insert-posit16`
3×	`associate-/r` `associate-r*`
2×	`associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `exp-lft-cube` `exp-prod` `clear-num` `sum-log` `frac-2neg` `exp-to-pow` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr` `rem-exp-log`

Counts

4 → 88

Calls

4 calls:

30.0ms	(* (+ (exp x) 1) (exp x))
8.0ms	(exp (* x 3))
39.0ms	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
18.0ms	(+ (exp (* x 3)) -1)

series168.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ (exp x) 1) (exp x))
11.0ms	(exp (* x 3))
95.0ms	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
26.0ms	(+ (exp (* x 3)) -1)

simplify3.3s

Counts

100 → 100

Iterations

Iter	Nodes
3	3595
2	1181
1	383
0	155

prune702.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (* x 3)) (exp (* x 3)))
0.0b	(/ (+ (pow (exp (* x 3)) 3) (pow -1 3)) (* (+ 1 (* (+ (exp x) 1) (exp x))) (+ (* (exp (* x 3)) (exp (* x 3))) (- (* -1 -1) (* (exp (* x 3)) -1)))))
0.0b	(pow (exp (* x 3)) 3)
5.9b	(+ (pow (exp (* x 3)) 3) (pow -1 3))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
25×	`add-log-exp`
19×	`exp-lft-cube` `exp-prod` `exp-to-pow`
15×	`add-sqr-sqrt` `unpow-prod-down` `cube-prod` `distribute-lft-out`
13×	`add-cube-cbrt`
12×	`pow1` `add-cbrt-cube`
10×	`pow-prod-down` `pow-sqr` `pow-prod-up`
9×	`times-frac` `add-exp-log` `associate-/l*`
8×	`flip3-+` `associate-/r/` `flip-+`
4×	`frac-times` `pow-pow` `insert-posit16`
3×	`pow-unpow` `swap-sqr` `associate-r` `associate-l` `sum-cubes`
2×	`cbrt-undiv` `div-exp` `associate-l/` `prod-exp` `associate-r/` `cbrt-unprod` `associate-/l/`
1×	`pow2` `cube-mult` `pow-to-exp` `+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `pow-plus` `unpow3` `pow-exp` `-commutative` `div-inv` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 142

Calls

4 calls:

27.0ms	(* (exp (* x 3)) (exp (* x 3)))
111.0ms	(/ (+ (pow (exp (* x 3)) 3) (pow -1 3)) (* (+ 1 (* (+ (exp x) 1) (exp x))) (+ (* (exp (* x 3)) (exp (* x 3))) (- (* -1 -1) (* (exp (* x 3)) -1)))))
12.0ms	(pow (exp (* x 3)) 3)
36.0ms	(+ (pow (exp (* x 3)) 3) (pow -1 3))

series277.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (exp (* x 3)) (exp (* x 3)))
166.0ms	(/ (+ (pow (exp (* x 3)) 3) (pow -1 3)) (* (+ 1 (* (+ (exp x) 1) (exp x))) (+ (* (exp (* x 3)) (exp (* x 3))) (- (* -1 -1) (* (exp (* x 3)) -1)))))
43.0ms	(pow (exp (* x 3)) 3)
50.0ms	(+ (pow (exp (* x 3)) 3) (pow -1 3))

simplify1.4s

Counts

154 → 154

Iterations

Iter	Nodes
2	2519
1	568
0	195

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes93.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	12
1	12
0	8

end0.0ms

sample2.8s

Algorithm

intervals

Results

984.0ms	3397×	body	1280	valid
883.0ms	2526×	body	640	valid
371.0ms	12078×	pre	80	true
143.0ms	1243×	body	320	valid
129.0ms	4269×	body	80	valid
49.0ms	643×	body	160	valid