Details

sample531.0ms

Algorithm

intervals

Results

185.0ms	96×	body	2560	valid
135.0ms	48×	body	10240	exit
119.0ms	98×	body	1280	valid
41.0ms	32×	body	640	valid
14.0ms	305×	pre	80	true
8.0ms	15×	body	320	valid
2.0ms	6×	body	160	valid
2.0ms	10×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
5	3998
4	640
3	189
2	78
1	44
0	17

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* (+ a b) eps))
5.5b	(* (/ eps (expm1 (* eps b))) (expm1 (* (+ a b) eps)))
14.2b	(/ eps (expm1 (* eps b)))
20.2b	(/ (* (/ eps (expm1 (* eps b))) (expm1 (* (+ a b) eps))) (expm1 (* eps a)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
20×	`add-cbrt-cube` `add-exp-log`
13×	`associate-l`
6×	`pow1` `cbrt-undiv` `associate-/r*` `div-exp`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`associate-r` `div-inv`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`expm1-log1p` `pow-prod-down` `*-commutative` `expm1-udef` `associate-/l/`

Counts

4 → 104

Calls

4 calls:

1.0ms	(expm1 (* (+ a b) eps))
19.0ms	(* (/ eps (expm1 (* eps b))) (expm1 (* (+ a b) eps)))
9.0ms	(/ eps (expm1 (* eps b)))
17.0ms	(/ (* (/ eps (expm1 (* eps b))) (expm1 (* (+ a b) eps))) (expm1 (* eps a)))

series504.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(expm1 (* (+ a b) eps))
183.0ms	(* (/ eps (expm1 (* eps b))) (expm1 (* (+ a b) eps)))
45.0ms	(/ eps (expm1 (* eps b)))
213.0ms	(/ (* (/ eps (expm1 (* eps b))) (expm1 (* (+ a b) eps))) (expm1 (* eps a)))

simplify9.5s

Counts

116 → 116

Iterations

Iter	Nodes
3	7238
2	1551
1	416
0	173

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`

Counts

1 → 35

Calls

1 calls:

22.0ms

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

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify1.3s

Counts

38 → 38

Iterations

Iter	Nodes
4	2780
3	1109
2	412
1	107
0	43

prune322.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* eps (+ b a)))
3.7b	(/ eps (/ (expm1 (* eps b)) (expm1 (* eps (+ b a)))))
10.5b	(/ (expm1 (* eps b)) (expm1 (* eps (+ b a))))
20.2b	(/ (/ eps (/ (expm1 (* eps b)) (expm1 (* eps (+ b a))))) (expm1 (* eps a)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
239×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
50×	`associate-/l*`
23×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
19×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
5×	`associate-/r/` `log1p-expm1-u`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`expm1-udef`
1×	`expm1-log1p` `div-sub` `associate-/l/`

Counts

4 → 315

Calls

4 calls:

0.0ms	(expm1 (* eps (+ b a)))
11.0ms	(/ eps (/ (expm1 (* eps b)) (expm1 (* eps (+ b a)))))
8.0ms	(/ (expm1 (* eps b)) (expm1 (* eps (+ b a))))
20.0ms	(/ (/ eps (/ (expm1 (* eps b)) (expm1 (* eps (+ b a))))) (expm1 (* eps a)))

series643.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(expm1 (* eps (+ b a)))
188.0ms	(/ eps (/ (expm1 (* eps b)) (expm1 (* eps (+ b a)))))
138.0ms	(/ (expm1 (* eps b)) (expm1 (* eps (+ b a))))
264.0ms	(/ (/ eps (/ (expm1 (* eps b)) (expm1 (* eps (+ b a))))) (expm1 (* eps a)))

simplify2.9s

Counts

327 → 327

Iterations

Iter	Nodes
2	3814
1	1264
0	514

prune4.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ (/ 1 b) (/ 1 a)))
0.0b	(+ (/ 1 b) (/ 1 a))
2.7b	(exp (log (+ (/ 1 b) (/ 1 a))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
27×	`times-frac`
21×	`distribute-lft-out`
20×	`log-prod`
19×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def` `div-inv`
10×	`exp-sum`
6×	`log-div`
5×	`pow1` `add-log-exp`
4×	`exp-prod` `add-exp-log`
3×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `exp-diff` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`log-pow`
1×	`+-commutative` `sum-log` `rem-log-exp` `rem-exp-log`

Counts

3 → 88

Calls

3 calls:

14.0ms	(log (+ (/ 1 b) (/ 1 a)))
21.0ms	(+ (/ 1 b) (/ 1 a))
23.0ms	(exp (log (+ (/ 1 b) (/ 1 a))))

series132.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(log (+ (/ 1 b) (/ 1 a)))
20.0ms	(+ (/ 1 b) (/ 1 a))
20.0ms	(exp (log (+ (/ 1 b) (/ 1 a))))

simplify1.4s

Counts

97 → 97

Iterations

Iter	Nodes
4	2676
3	958
2	461
1	200
0	108

prune709.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes126.0ms

Accuracy

0% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	7
1	7
0	6

end2.0ms

sample19.6s

Algorithm

intervals

Results

6.2s	2587×	body	2560	valid
5.8s	3430×	body	1280	valid
5.2s	1996×	body	10240	exit
1.0s	1066×	body	640	valid
588.0ms	9999×	pre	80	true
239.0ms	361×	body	320	valid
133.0ms	419×	body	80	valid
54.0ms	140×	body	160	valid