Details

sample50.0ms

Algorithm

intervals

Results

20.0ms	111×	body	1280	valid
8.0ms	73×	body	640	valid
4.0ms	380×	pre	80	true
3.0ms	48×	body	320	valid
2.0ms	129×	body	80	valid
1.0ms	19×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize9.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) 1.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

12.0ms

(- (exp x) 1.0)

series18.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(- (exp x) 1.0)

simplify2.4s

Counts

31 → 31

Iterations

Iter	Nodes
done	5001
4	2205
3	858
2	311
1	149
0	66

prune142.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 1/6 1/2)
0.0b	(* x (fma x 1/6 1/2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma x 1/6 1/2)
11.0ms	(* x (fma x 1/6 1/2))

series176.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(fma x 1/6 1/2)
118.0ms	(* x (fma x 1/6 1/2))

simplify2.9s

Counts

38 → 38

Iterations

Iter	Nodes
done	5005
3	1482
2	259
1	101
0	48

prune187.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0)))
0.0b	(exp (* 3 x))
5.6b	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-log-exp`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `fma-neg` `prod-diff` `associate-/l`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `exp-prod` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `exp-to-pow` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv` `distribute-lft-out` `rem-exp-log`

Counts

4 → 81

Calls

4 calls:

10.0ms	(+ 1.0 (exp x))
47.0ms	(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0)))
6.0ms	(exp (* 3 x))
22.0ms	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ 1.0 (exp x))
120.0ms	(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0)))
12.0ms	(exp (* 3 x))
35.0ms	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

simplify2.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	3906
2	1080
1	364
0	146

prune490.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-log-exp`
3×	`fma-def`
2×	`add-sqr-sqrt` `sum-log` `add-cube-cbrt` `distribute-lft-out`
1×	`neg-sub0` `expm1-log1p-u` `pow1` `+-commutative` `associate-+r-` `distribute-rgt-neg-in` `flip3-+` `add-cbrt-cube` `unsub-neg` `neg-log` `add-exp-log` `flip-+` `log1p-expm1-u`

Counts

1 → 22

Calls

1 calls:

20.0ms

(+ (exp x) (- 1.0))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(+ (exp x) (- 1.0))

simplify2.4s

Counts

25 → 25

Iterations

Iter	Nodes
done	5005
4	2959
3	1156
2	427
1	122
0	44

prune71.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes187.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample2.0s

Algorithm

intervals

Results

932.0ms	3370×	body	1280	valid
376.0ms	2589×	body	640	valid
190.0ms	11976×	pre	80	true
146.0ms	1239×	body	320	valid
87.0ms	4149×	body	80	valid
36.0ms	629×	body	160	valid