Details

sample429.0ms

Algorithm

intervals

Results

163.0ms	87×	body	10240	exit
102.0ms	78×	body	2560	valid
102.0ms	106×	body	1280	valid
17.0ms	40×	body	640	valid
8.0ms	343×	pre	80	true
2.0ms	8×	body	320	valid
2.0ms	19×	body	80	valid
1.0ms	5×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	24
1	40	24
2	101	24
3	258	24
4	765	24
5	4008	24
done	5000	24

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.3b	(- (exp (* b eps)) 1.0)
4.0b	(- (exp (* a eps)) 1.0)
5.2b	(- (exp (* (+ a b) eps)) 1.0)

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`prod-diff`
39×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-log-exp`
9×	`flip3--` `fma-neg` `flip--`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sub-neg` `associate-r` `associate-l` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u`
3×	`diff-log`
2×	`associate-r/` `associate-l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

80.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
15.0ms	(- (exp (* b eps)) 1.0)
34.0ms	(- (exp (* a eps)) 1.0)
35.0ms	(- (exp (* (+ a b) eps)) 1.0)

series271.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
51.0ms	(- (exp (* b eps)) 1.0)
52.0ms	(- (exp (* a eps)) 1.0)
64.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify1.9s

Counts

150 → 150

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	221	3064
1	539	2630
2	2593	2205
done	5001	2041

prune750.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 47.5b

localize50.0ms

Local error

Found 4 expressions with local error:

4.0b	(- (exp (* a eps)) 1.0)
5.2b	(- (exp (* (+ a b) eps)) 1.0)
15.1b	(* (pow eps 2) (pow b 2))
17.3b	(* (pow eps 3) (pow b 3))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
32×	`*-un-lft-identity` `unswap-sqr`
28×	`add-exp-log` `add-cube-cbrt` `unpow-prod-down`
20×	`associate-r` `associate-l` `sqr-pow`
18×	`prod-diff` `prod-exp`
14×	`cube-prod`
12×	`pow-to-exp` `pow-exp`
10×	`unpow2`
8×	`add-cbrt-cube` `add-log-exp`
6×	`fma-neg`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 170

Calls

4 calls:

32.0ms	(- (exp (* a eps)) 1.0)
32.0ms	(- (exp (* (+ a b) eps)) 1.0)
23.0ms	(* (pow eps 2) (pow b 2))
29.0ms	(* (pow eps 3) (pow b 3))

series265.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (exp (* a eps)) 1.0)
53.0ms	(- (exp (* (+ a b) eps)) 1.0)
62.0ms	(* (pow eps 2) (pow b 2))
84.0ms	(* (pow eps 3) (pow b 3))

simplify3.4s

Counts

182 → 182

Iterations

Useful iterations: 2 (847.0ms)

Iter	Nodes	Cost
0	250	2347
1	598	2012
2	3522	1688
done	5000	1688

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 46.4b

localize64.0ms

Local error

Found 4 expressions with local error:

3.6b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma 1/6 (pow (* eps b) 3) (fma 1/2 (* (pow eps 2) (pow b 2)) (* b eps)))))
4.0b	(- (exp (* a eps)) 1.0)
5.2b	(- (exp (* (+ a b) eps)) 1.0)
15.1b	(* (pow eps 2) (pow b 2))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
28×	`add-exp-log`
26×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff` `add-cbrt-cube`
16×	`unswap-sqr`
14×	`unpow-prod-down`
13×	`prod-exp`
10×	`unpow2` `sqr-pow`
8×	`associate-r` `associate-l` `add-log-exp`
6×	`pow-to-exp` `fma-neg` `pow-exp`
5×	`cbrt-unprod`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `div-exp` `flip--` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 136

Calls

4 calls:

57.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma 1/6 (pow (* eps b) 3) (fma 1/2 (* (pow eps 2) (pow b 2)) (* b eps)))))
15.0ms	(- (exp (* a eps)) 1.0)
16.0ms	(- (exp (* (+ a b) eps)) 1.0)
18.0ms	(* (pow eps 2) (pow b 2))

series2.2s

Counts

4 → 12

Calls

4 calls:

2.0s	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma 1/6 (pow (* eps b) 3) (fma 1/2 (* (pow eps 2) (pow b 2)) (* b eps)))))
49.0ms	(- (exp (* a eps)) 1.0)
83.0ms	(- (exp (* (+ a b) eps)) 1.0)
46.0ms	(* (pow eps 2) (pow b 2))

simplify2.5s

Counts

148 → 148

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	273	3377
1	733	3108
2	4179	2430
done	5000	2428

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1 b) (/ 1 a))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
15×	`times-frac`
13×	`fma-def`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`distribute-lft-out`
5×	`div-inv`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `frac-add` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 34

Calls

1 calls:

47.0ms

(+ (/ 1 b) (/ 1 a))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(+ (/ 1 b) (/ 1 a))

simplify2.0s

Counts

37 → 37

Iterations

Useful iterations: 3 (472.0ms)

Iter	Nodes	Cost
0	42	245
1	110	231
2	460	211
3	2128	210
done	5001	210

prune111.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (3.1b remaining)

Error of 3.3b against oracle of 0.2b and baseline of 3.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
done	9	7

end0.0ms

sample15.3s

Algorithm

intervals

Results

5.3s	2536×	body	2560	valid
4.7s	3467×	body	1280	valid
3.2s	1871×	body	10240	exit
701.0ms	1091×	body	640	valid
370.0ms	9873×	pre	80	true
328.0ms	336×	body	320	valid
48.0ms	433×	body	80	valid
31.0ms	139×	body	160	valid