Details

sample98.0ms

Algorithm

intervals

Results

43.0ms	100×	body	1280	valid
18.0ms	87×	body	640	valid
11.0ms	396×	pre	80	true
5.0ms	42×	body	320	valid
5.0ms	151×	body	80	valid
1.0ms	16×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize11.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) 1)

rewrite21.0ms

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:

20.0ms

(- (exp x) 1)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(- (exp x) 1)

simplify2.1s

Counts

20 → 20

Iterations

Iter	Nodes
done	5007
5	2653
4	1333
3	609
2	233
1	92
0	42

prune101.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

7.0ms	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
49.0ms	(* (* x x) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

series138.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
85.0ms	(* (* x x) (+ (* x 1/6) 1/2))
16.0ms	(* x 1/6)

simplify1.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1401
1	332
0	102

prune220.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (+ (exp x) 1))
0.0b	(/ (+ -1 (exp (* 3 x))) (+ (* (exp x) (+ (exp x) 1)) 1))
0.1b	(exp (* 3 x))
5.3b	(+ -1 (exp (* 3 x)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

66.0ms	(* (exp x) (+ (exp x) 1))
67.0ms	(/ (+ -1 (exp (* 3 x))) (+ (* (exp x) (+ (exp x) 1)) 1))
4.0ms	(exp (* 3 x))
7.0ms	(+ -1 (exp (* 3 x)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (exp x) (+ (exp x) 1))
81.0ms	(/ (+ -1 (exp (* 3 x))) (+ (* (exp x) (+ (exp x) 1)) 1))
12.0ms	(exp (* 3 x))
32.0ms	(+ -1 (exp (* 3 x)))

simplify1.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1470
1	379
0	145

prune413.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

5.4b	(+ (exp x) -1)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
2×	`add-sqr-sqrt`
1×	`pow1` `+-commutative` `difference-of-sqr--1` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

18.0ms

(+ (exp x) -1)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(+ (exp x) -1)

simplify3.0s

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
4	2494
3	1040
2	289
1	101
0	40

prune75.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes141.0ms

Accuracy

97.3% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.4b

bsearch2.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	14

end0.0ms

sample2.8s

Algorithm

intervals

Results

958.0ms	3379×	body	1280	valid
767.0ms	11958×	pre	80	true
490.0ms	2572×	body	640	valid
200.0ms	1238×	body	320	valid
144.0ms	4131×	body	80	valid
81.0ms	638×	body	160	valid