Details

sample85.0ms

Algorithm

intervals

Results

33.0ms	109×	body	1280	valid
16.0ms	78×	body	640	valid
12.0ms	389×	pre	80	true
6.0ms	41×	body	320	valid
4.0ms	137×	body	80	valid
2.0ms	24×	body	160	valid

simplify24.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize13.0ms

Local error

Found 1 expressions with local error:

6.1b	(- (exp x) 1)

rewrite19.0ms

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:

Slowest

18.0ms

(- (exp x) 1)

series15.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

15.0ms

(- (exp x) 1)

simplify2.8s

Counts: 20 → 20

prune189.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

Slowest

28.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
5.0ms	(* x 1/6)

series134.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

114.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
20.0ms	(* x 1/6)

simplify1.5s

Counts: 49 → 49

prune383.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

63×	`exp-prod`
39×	`add-sqr-sqrt`
37×	`pow1`
34×	`*-un-lft-identity` `add-cube-cbrt`
23×	`pow-prod-up`
17×	`pow-prod-down`
13×	`add-cbrt-cube` `pow-sqr`
9×	`associate-r`
8×	`pow-plus`
7×	`associate-l`
6×	`swap-sqr` `add-log-exp`
5×	`prod-exp` `add-exp-log` `cbrt-unprod`
4×	`pow2` `insert-posit16`
3×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `pow3` `flip-+`

Counts

4 → 120

Calls

4 calls:

Slowest

49.0ms	(* (* (exp x) (exp x)) (exp x))
36.0ms	(+ (* (* (exp x) (exp x)) (exp x)) -1)
25.0ms	(* (exp x) (exp x))
24.0ms	(* (exp x) (exp x))

series102.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

41.0ms	(+ (* (* (exp x) (exp x)) (exp x)) -1)
26.0ms	(* (* (exp x) (exp x)) (exp x))
21.0ms	(* (exp x) (exp x))
14.0ms	(* (exp x) (exp x))

simplify885.0ms

Counts: 132 → 132

prune634.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
18×	`exp-prod`
16×	`times-frac`
11×	`pow1` `distribute-lft-out`
8×	`add-cbrt-cube` `add-log-exp`
6×	`add-exp-log`
4×	`associate-/r` `flip3-+` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip-+` `insert-posit16` `associate-/l`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`+-commutative` `sum-log` `associate-/r/` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft1-in` `pow-plus` `distribute-rgt-out` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

Slowest

116.0ms	(/ (+ -1 (exp (* x 3))) (+ (+ (* (exp x) (exp x)) (exp x)) 1))
13.0ms	(* (exp x) (exp x))
12.0ms	(+ (* (exp x) (exp x)) (exp x))
5.0ms	(+ -1 (exp (* x 3)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

61.0ms	(/ (+ -1 (exp (* x 3))) (+ (+ (* (exp x) (exp x)) (exp x)) 1))
21.0ms	(+ (* (exp x) (exp x)) (exp x))
18.0ms	(+ -1 (exp (* x 3)))
13.0ms	(* (exp x) (exp x))

simplify3.0s

Counts: 115 → 115

prune812.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.3b remaining)

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

bsearch1.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.5s	3458×	body	1280	valid
535.0ms	2468×	body	640	valid
329.0ms	11968×	pre	80	true
239.0ms	1243×	body	320	valid
127.0ms	4136×	body	80	valid
52.0ms	663×	body	160	valid