Details

sample392.0ms

Algorithm

intervals

Results

137.0ms	86×	body	2560	valid
108.0ms	67×	body	10240	exit
87.0ms	98×	body	1280	valid
26.0ms	46×	body	640	valid
10.0ms	323×	pre	80	true
5.0ms	13×	body	320	valid
1.0ms	11×	body	80	valid
0.0ms	2×	body	160	valid

simplify2.5s

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: 27.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* (+ a b) eps))
3.2b	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
13.1b	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
17.6b	(/ eps (expm1 (* eps a)))

rewrite24.0ms

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))
14.0ms	(* (/ (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)))

series738.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(expm1 (* (+ a b) eps))
518.0ms	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
94.0ms	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
61.0ms	(/ eps (expm1 (* eps a)))

simplify1.6s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	1709
1	515
0	197

prune784.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

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:

19.0ms

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

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify3.4s

Counts

38 → 38

Iterations

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

prune116.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* (+ a b) eps))
2.7b	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) eps)
13.1b	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
18.0b	(/ (* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) eps) (expm1 (* eps a)))

rewrite53.0ms

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/` `expm1-udef` `unswap-sqr`
1×	`expm1-log1p` `div-sub` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 105

Calls

4 calls:

1.0ms	(expm1 (* (+ a b) eps))
20.0ms	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) eps)
8.0ms	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
22.0ms	(/ (* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) eps) (expm1 (* eps a)))

series948.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(expm1 (* (+ a b) eps))
152.0ms	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) eps)
92.0ms	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
634.0ms	(/ (* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) eps) (expm1 (* eps a)))

simplify1.8s

Counts

117 → 117

Iterations

Iter	Nodes
done	5002
2	1333
1	416
0	173

prune675.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 3.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample19.9s

Algorithm

intervals

Results

6.5s	2606×	body	2560	valid
5.4s	3433×	body	1280	valid
5.2s	1941×	body	10240	exit
1.5s	999×	body	640	valid
524.0ms	9942×	pre	80	true
229.0ms	396×	body	320	valid
81.0ms	447×	body	80	valid
46.0ms	120×	body	160	valid