Details

sample51.0ms

Algorithm

intervals

Results

20.0ms	106×	body	1280	valid
9.0ms	75×	body	640	valid
4.0ms	401×	pre	80	true
3.0ms	51×	body	320	valid
2.0ms	151×	body	80	valid
1.0ms	18×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize13.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) 1.0)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

8.0ms

(- (exp x) 1.0)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(- (exp x) 1.0)

simplify1.8s

Counts

17 → 17

Iterations

Iter	Nodes
done	5002
4	2834
3	681
2	221
1	83
0	39

prune83.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

49.0ms	(* (+ (* x 1/6) 1/2) (pow x 2))
11.0ms	(* x 1/6)

series145.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(* (+ (* x 1/6) 1/2) (pow x 2))
20.0ms	(* x 1/6)

simplify1.3s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	1310
1	227
0	90

prune176.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `times-frac`
14×	`add-cube-cbrt`
12×	`difference-of-squares`
7×	`distribute-lft-out` `add-log-exp`
6×	`exp-sum`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`associate-/r*`
3×	`pow1`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 72

Calls

3 calls:

13.0ms	(+ (exp x) 1.0)
180.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
77.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series112.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (exp x) 1.0)
73.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
23.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify909.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1515
1	340
0	131

prune331.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (- (pow (exp (+ x x)) 3) (pow 1.0 6)) (+ (pow (exp x) 4) (* 1.0 (+ (pow 1.0 3) (* 1.0 (exp (+ x x))))))) (+ (exp x) 1.0))
0.0b	(pow (exp (+ x x)) 3)
0.0b	(pow (exp x) 4)
5.2b	(- (pow (exp (+ x x)) 3) (pow 1.0 6))

rewrite502.0ms

Algorithm

rewrite-expression-head

Rules

618×	`times-frac`
554×	`add-sqr-sqrt`
398×	`*-un-lft-identity`
288×	`difference-of-squares`
218×	`add-cube-cbrt`
199×	`unpow-prod-down`
146×	`sqr-pow`
100×	`cube-prod`
98×	`exp-sum`
76×	`distribute-lft-out`
72×	`associate-/l*`
17×	`pow-pow`
16×	`distribute-lft-out--`
15×	`exp-prod`
12×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`add-exp-log`
6×	`pow1` `pow-unpow` `flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`associate-/r*`
3×	`cbrt-undiv` `distribute-rgt-out` `div-exp`
2×	`pow-to-exp` `div-sub` `pow-exp`
1×	`cube-mult` `clear-num` `sub-neg` `frac-2neg` `distribute-lft1-in` `flip3--` `count-2` `diff-log` `unpow3` `distribute-rgt1-in` `flip--` `rem-cube-cbrt` `associate-/l/`

Counts

4 → 470

Calls

4 calls:

291.0ms	(/ (/ (- (pow (exp (+ x x)) 3) (pow 1.0 6)) (+ (pow (exp x) 4) (* 1.0 (+ (pow 1.0 3) (* 1.0 (exp (+ x x))))))) (+ (exp x) 1.0))
27.0ms	(pow (exp (+ x x)) 3)
7.0ms	(pow (exp x) 4)
112.0ms	(- (pow (exp (+ x x)) 3) (pow 1.0 6))

series371.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(/ (/ (- (pow (exp (+ x x)) 3) (pow 1.0 6)) (+ (pow (exp x) 4) (* 1.0 (+ (pow 1.0 3) (* 1.0 (exp (+ x x))))))) (+ (exp x) 1.0))
30.0ms	(pow (exp (+ x x)) 3)
31.0ms	(pow (exp x) 4)
82.0ms	(- (pow (exp (+ x x)) 3) (pow 1.0 6))

simplify904.0ms

Counts

482 → 482

Iterations

Iter	Nodes
done	5000
1	1764
0	670

prune2.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

934.0ms	3428×	body	1280	valid
451.0ms	2545×	body	640	valid
150.0ms	11984×	pre	80	true
149.0ms	1238×	body	320	valid
89.0ms	4188×	body	80	valid
65.0ms	585×	body	160	valid