Details

sample60.0ms

Algorithm

intervals

Results

21.0ms	85×	body	10240	exit
15.0ms	63×	body	1280	valid
10.0ms	69×	body	640	valid
2.0ms	92×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	13×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ (exp x) (- (exp x) 1.0))
3.0b	(- (exp x) 1.0)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
15×	`times-frac`
9×	`prod-diff`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 67

Calls

2 calls:

25.0ms	(/ (exp x) (- (exp x) 1.0))
12.0ms	(- (exp x) 1.0)

series72.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (exp x) (- (exp x) 1.0))
24.0ms	(- (exp x) 1.0)

simplify1.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
3	2050
2	672
1	252
0	117

prune234.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma x 1/12 (/ 1 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x 1/12 (/ 1 x))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(fma x 1/12 (/ 1 x))

simplify2.6s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
5	2167
4	457
3	130
2	40
1	23
0	17

prune81.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1/12) (/ 1 x))
0.4b	(* x 1/12)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

16.0ms	(+ (* x 1/12) (/ 1 x))
11.0ms	(* x 1/12)

series105.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(+ (* x 1/12) (/ 1 x))
27.0ms	(* x 1/12)

simplify3.6s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
4	4454
3	1454
2	432
1	151
0	57

prune192.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (log (* 1/12 x))) (/ 1 x))
0.4b	(* 1/12 x)
2.1b	(exp (log (* 1/12 x)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`pow1`
7×	`add-cube-cbrt`
5×	`exp-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`fma-def`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`log-prod` `exp-sum` `pow-prod-down` `log-pow` `distribute-lft-out`
1×	`+-commutative` `sum-log` `flip3-+` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr` `rem-exp-log`

Counts

3 → 55

Calls

3 calls:

33.0ms	(+ (exp (log (* 1/12 x))) (/ 1 x))
9.0ms	(* 1/12 x)
10.0ms	(exp (log (* 1/12 x)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (exp (log (* 1/12 x))) (/ 1 x))
28.0ms	(* 1/12 x)
19.0ms	(exp (log (* 1/12 x)))

simplify3.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
4	3625
3	1104
2	411
1	173
0	74

prune270.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

regimes172.0ms

Accuracy

97.8% (0.5b remaining)

Error of 0.9b against oracle of 0.4b and baseline of 21.7b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.0s	2547×	body	10240	exit
748.0ms	2251×	body	1280	valid
319.0ms	1626×	body	640	valid
140.0ms	402×	body	160	valid
126.0ms	833×	body	320	valid
102.0ms	2888×	body	80	valid