Details

sample52.0ms

Algorithm

intervals

Results

16.0ms	98×	body	1280	valid
11.0ms	414×	pre	80	true
8.0ms	82×	body	640	valid
3.0ms	52×	body	320	valid
2.0ms	162×	body	80	valid
1.0ms	20×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize4.0ms

Local error

Found 1 expressions with local error:

5.3b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

11.0ms

(- (exp x) 1.0)

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(- (exp x) 1.0)

simplify49.0ms

Counts: 17 → 17

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`associate-l`
9×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1` `unpow-prod-down` `prod-exp`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2` `add-log-exp` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

2 → 49

Calls

2 calls:

32.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
7.0ms	(* x 1/6)

series95.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
21.0ms	(* x 1/6)

simplify37.0ms

Counts: 55 → 55

prune109.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
0.0b	(* (exp x) (exp x))
5.3b	(- (* (exp x) (exp x)) (* 1.0 1.0))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
59.0ms	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
18.0ms	(* (exp x) (exp x))
19.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

series110.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (exp x) 1.0)
53.0ms	(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
14.0ms	(* (exp x) (exp x))
32.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

simplify51.0ms

Counts: 112 → 112

prune180.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (pow (exp (* 2 (sqrt x))) (sqrt x)) (* 1.0 1.0)) (+ (exp x) 1.0))
0.0b	(+ (exp x) 1.0)
2.5b	(- (pow (exp (* 2 (sqrt x))) (sqrt x)) (* 1.0 1.0))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
24×	`times-frac`
18×	`difference-of-squares`
15×	`add-cube-cbrt`
8×	`distribute-lft-out`
7×	`add-log-exp`
6×	`unpow-prod-down` `associate-/l*` `sqr-pow`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/r*`
3×	`pow1`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 78

Calls

3 calls:

68.0ms	(/ (- (pow (exp (* 2 (sqrt x))) (sqrt x)) (* 1.0 1.0)) (+ (exp x) 1.0))
14.0ms	(+ (exp x) 1.0)
28.0ms	(- (pow (exp (* 2 (sqrt x))) (sqrt x)) (* 1.0 1.0))

series976.0ms

Counts

3 → 9

Calls

3 calls:

498.0ms	(/ (- (pow (exp (* 2 (sqrt x))) (sqrt x)) (* 1.0 1.0)) (+ (exp x) 1.0))
9.0ms	(+ (exp x) 1.0)
469.0ms	(- (pow (exp (* 2 (sqrt x))) (sqrt x)) (* 1.0 1.0))

simplify49.0ms

Counts: 87 → 87

prune231.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes22.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

631.0ms	3421×	body	1280	valid
318.0ms	2518×	body	640	valid
157.0ms	12042×	pre	80	true
96.0ms	4199×	body	80	valid
83.0ms	1264×	body	320	valid
27.0ms	640×	body	160	valid