Details

sample559.0ms

Algorithm

intervals

Results

180.0ms	57×	body	10240	exit
168.0ms	85×	body	2560	valid
140.0ms	114×	body	1280	valid
27.0ms	33×	body	640	valid
15.0ms	313×	pre	80	true
2.0ms	15×	body	80	valid
2.0ms	5×	body	320	valid
2.0ms	4×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3983
4	642
3	191
2	80
1	46
0	17

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* (+ a b) eps))
5.3b	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
11.9b	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
17.4b	(/ eps (expm1 (* eps a)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

1.0ms	(expm1 (* (+ a b) eps))
34.0ms	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
4.0ms	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
4.0ms	(/ eps (expm1 (* eps a)))

series879.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(expm1 (* (+ a b) eps))
630.0ms	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
111.0ms	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
66.0ms	(/ eps (expm1 (* eps a)))

simplify2.0s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	1709
1	515
0	197

prune833.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:

20.0ms

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

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify3.5s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
5	4603
4	1719
3	692
2	310
1	111
0	43

prune121.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* (+ a b) eps))
5.8b	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a))))
16.7b	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a)))) (expm1 (* eps b)))
17.4b	(/ eps (expm1 (* eps a)))

rewrite31.0ms

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-r`
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-l` `div-inv`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`expm1-log1p` `pow-prod-down` `*-commutative` `expm1-udef` `associate-/l/`

Counts

4 → 104

Calls

4 calls:

0.0ms	(expm1 (* (+ a b) eps))
9.0ms	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a))))
11.0ms	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a)))) (expm1 (* eps b)))
9.0ms	(/ eps (expm1 (* eps a)))

series850.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(expm1 (* (+ a b) eps))
154.0ms	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a))))
583.0ms	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a)))) (expm1 (* eps b)))
46.0ms	(/ eps (expm1 (* eps a)))

simplify1.6s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	1317
1	415
0	173

prune634.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

-7.4% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 2.9b

bsearch642.0ms

Steps

Iters	Range		Point
7	4.345902920943977e+282	4.055480039337506e+284	2.194671702223418e+284
6	9.677637521764628e+229	1.1708472575065159e+231	9.918390622765604e+229

simplify6.0ms

Iterations

Iter	Nodes
done	34
1	34
0	23

end0.0ms

sample19.5s

Algorithm

intervals

Results

6.0s	2592×	body	2560	valid
5.8s	3421×	body	1280	valid
5.2s	1994×	body	10240	exit
1.1s	1100×	body	640	valid
601.0ms	9995×	pre	80	true
259.0ms	383×	body	320	valid
105.0ms	389×	body	80	valid
44.0ms	116×	body	160	valid