Details

sample45.0ms

Algorithm

intervals

Results

19.0ms	121×	body	1280	valid
7.0ms	72×	body	640	valid
4.0ms	399×	pre	80	true
2.0ms	41×	body	320	valid
2.0ms	146×	body	80	valid
1.0ms	19×	body	160	valid

simplify4.0ms

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: 59.1b

localize5.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) 1.0)

rewrite11.0ms

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:

10.0ms

(- (exp x) 1.0)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(- (exp x) 1.0)

simplify2.7s

Counts

31 → 31

Iterations

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

prune117.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

6.0ms

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

series108.0ms

Counts

1 → 3

Calls

1 calls:

108.0ms

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

simplify2.0s

Counts

25 → 25

Iterations

Iter	Nodes
done	5008
3	1290
2	244
1	92
0	43

prune109.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0)))
0.0b	(+ 1.0 (exp x))
0.0b	(fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0))
4.8b	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
8×	`add-log-exp`
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` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `flip-+` `fma-udef` `div-inv` `distribute-lft-out`

Counts

4 → 79

Calls

4 calls:

26.0ms	(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0)))
10.0ms	(+ 1.0 (exp x))
0.0ms	(fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0))
17.0ms	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0)))
9.0ms	(+ 1.0 (exp x))
59.0ms	(fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0))
25.0ms	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

simplify2.8s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
3	4281
2	1140
1	373
0	148

prune547.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
4.8b	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))
4.9b	(- (* 1.0 1.0) (* (exp x) (exp x)))
4.9b	(- 1.0 (exp x))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
18×	`exp-prod`
13×	`prod-diff`
11×	`pow1`
10×	`add-log-exp`
7×	`fma-neg`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `pow-prod-down` `add-exp-log` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `swap-sqr` `associate-r` `associate-l` `flip--`
2×	`difference-of-squares`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

26.0ms	(* (exp x) (exp x))
14.0ms	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))
7.0ms	(- (* 1.0 1.0) (* (exp x) (exp x)))
7.0ms	(- 1.0 (exp x))

series106.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (exp x) (exp x))
26.0ms	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))
32.0ms	(- (* 1.0 1.0) (* (exp x) (exp x)))
16.0ms	(- 1.0 (exp x))

simplify1.9s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1291
1	445
0	177

prune554.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample2.1s

Algorithm

intervals

Results

921.0ms	3453×	body	1280	valid
339.0ms	2414×	body	640	valid
199.0ms	1250×	body	320	valid
177.0ms	11959×	pre	80	true
129.0ms	4142×	body	80	valid
43.0ms	700×	body	160	valid