Details

sample46.0ms

Algorithm

intervals

Results

18.0ms	121×	body	1280	valid
7.0ms	70×	body	640	valid
4.0ms	400×	pre	80	true
3.0ms	43×	body	320	valid
2.0ms	148×	body	80	valid
1.0ms	18×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	6	4
2	7	4
done	7	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize4.0ms

Local error

Found 1 expressions with local error:

5.5b	(- (exp x) 1.0)

rewrite11.0ms

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:

10.0ms

(- (exp x) 1.0)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(- (exp x) 1.0)

simplify2.1s

Counts

17 → 17

Iterations

Useful iterations: 3 (171.0ms)

Iter	Nodes	Cost
0	39	132
1	83	127
2	224	119
3	690	117
4	2920	117
done	5000	117

prune53.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

26.0ms	(+ (* (pow x 2) (+ 1/2 (* x 1/6))) x)
12.0ms	(+ 1/2 (* x 1/6))
40.0ms	(* (pow x 2) (+ 1/2 (* x 1/6)))
15.0ms	(* x 1/6)

series185.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* (pow x 2) (+ 1/2 (* x 1/6))) x)
34.0ms	(+ 1/2 (* x 1/6))
98.0ms	(* (pow x 2) (+ 1/2 (* x 1/6)))
15.0ms	(* x 1/6)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: 2 (382.0ms)

Iter	Nodes	Cost
0	121	940
1	355	862
2	1829	775
done	5001	775

prune264.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))
5.4b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite269.0ms

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-exp-log` `add-cbrt-cube` `associate-/l*`
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 → 72

Calls

3 calls:

17.0ms	(+ (exp x) 1.0)
173.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
74.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series111.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (exp x) 1.0)
63.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
39.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.5s

Counts

81 → 81

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	131	1338
1	340	1293
2	1523	1181
done	5000	1089

prune267.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (+ x x)) (* 1.0 1.0)))
5.4b	(- (exp (+ x x)) (* 1.0 1.0))
5.4b	(- (exp (+ x x)) (* 1.0 1.0))
5.4b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`add-sqr-sqrt`
8×	`difference-of-squares`
5×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `exp-sum` `add-cbrt-cube` `flip--`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

59.0ms	(cbrt (- (exp (+ x x)) (* 1.0 1.0)))
103.0ms	(- (exp (+ x x)) (* 1.0 1.0))
93.0ms	(- (exp (+ x x)) (* 1.0 1.0))
73.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series260.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (- (exp (+ x x)) (* 1.0 1.0)))
21.0ms	(- (exp (+ x x)) (* 1.0 1.0))
29.0ms	(- (exp (+ x x)) (* 1.0 1.0))
43.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.4s

Counts

69 → 69

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	77	966
1	169	936
2	471	806
3	1958	770
done	5000	764

prune291.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

888.0ms	3483×	body	1280	valid
467.0ms	2446×	body	640	valid
209.0ms	12076×	pre	80	true
138.0ms	4253×	body	80	valid
116.0ms	1297×	body	320	valid
34.0ms	597×	body	160	valid