Details

sample75.0ms

Algorithm

intervals

Results

23.0ms	79×	body	1280	valid
17.0ms	42×	body	640	valid
8.0ms	184×	body	80	valid
4.0ms	28×	body	320	valid
1.0ms	8×	body	160	valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	11	6
2	18	6
3	27	6
4	51	6
5	118	6
6	453	6
7	3607	6
done	5002	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.0b	(- (exp (* a x)) 1.0)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

9.0ms	(exp (* a x))
31.0ms	(- (exp (* a x)) 1.0)

series89.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(exp (* a x))
64.0ms	(- (exp (* a x)) 1.0)

simplify3.3s

Counts

46 → 46

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	79	557
1	183	460
2	598	386
3	3356	328
done	5000	325

prune286.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.6b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* 2 (* a x)))
0.0b	(+ (exp (* a x)) 1.0)
0.0b	(exp (* a x))
3.2b	(- (exp (* 2 (* a x))) (* 1.0 1.0))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-log-exp`
9×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `prod-diff`
2×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+` `distribute-lft-out` `difference-of-squares`

Counts

4 → 62

Calls

4 calls:

27.0ms	(exp (* 2 (* a x)))
23.0ms	(+ (exp (* a x)) 1.0)
8.0ms	(exp (* a x))
49.0ms	(- (exp (* 2 (* a x))) (* 1.0 1.0))

series171.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(exp (* 2 (* a x)))
33.0ms	(+ (exp (* a x)) 1.0)
25.0ms	(exp (* a x))
74.0ms	(- (exp (* 2 (* a x))) (* 1.0 1.0))

simplify4.6s

Counts

74 → 74

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	101	753
1	244	707
2	804	637
3	4518	605
done	5000	605

prune614.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.5b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (+ (exp (* a x)) 1.0)))
0.0b	(exp (* a x))
0.6b	(log1p (+ (exp (* a x)) 1.0))
3.2b	(- (exp (* 2 (* a x))) (* 1.0 1.0))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`expm1-log1p-u`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
1×	`sub-neg` `log1p-udef` `expm1-log1p` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `log1p-expm1` `flip--` `rem-exp-log` `expm1-udef` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

1.0ms	(expm1 (log1p (+ (exp (* a x)) 1.0)))
15.0ms	(exp (* a x))
1.0ms	(log1p (+ (exp (* a x)) 1.0))
49.0ms	(- (exp (* 2 (* a x))) (* 1.0 1.0))

series370.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(expm1 (log1p (+ (exp (* a x)) 1.0)))
25.0ms	(exp (* a x))
118.0ms	(log1p (+ (exp (* a x)) 1.0))
85.0ms	(- (exp (* 2 (* a x))) (* 1.0 1.0))

simplify4.2s

Counts

67 → 67

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	108	745
1	242	702
2	770	616
3	4034	592
done	5000	588

prune615.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.5b

localize90.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* (* a x) 6))
0.0b	(exp (* a x))
0.2b	(* (* a x) 6)
3.2b	(- (exp (* (* a x) 6)) (pow 1.0 6))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `prod-diff`
19×	`add-cube-cbrt`
10×	`unpow-prod-down` `add-log-exp`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `sqr-pow`
3×	`fma-neg` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
2×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--` `distribute-lft-out--`

Counts

4 → 86

Calls

4 calls:

16.0ms	(exp (* (* a x) 6))
8.0ms	(exp (* a x))
35.0ms	(* (* a x) 6)
51.0ms	(- (exp (* (* a x) 6)) (pow 1.0 6))

series191.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(exp (* (* a x) 6))
26.0ms	(exp (* a x))
39.0ms	(* (* a x) 6)
86.0ms	(- (exp (* (* a x) 6)) (pow 1.0 6))

simplify3.3s

Counts

98 → 98

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	172	1704
1	401	1378
2	2060	1078
done	5000	908

prune865.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.5b

regimes748.0ms

Accuracy

95.3% (1.1b remaining)

Error of 7.5b against oracle of 6.4b and baseline of 29.8b

bsearch2.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	69
1	36	69
done	36	69

end0.0ms

sample2.4s

Algorithm

intervals

Results

998.0ms	2670×	body	1280	valid
372.0ms	5466×	body	80	valid
341.0ms	1373×	body	640	valid
107.0ms	770×	body	320	valid
83.0ms	386×	body	160	valid