Details

sample584.0ms

Algorithm

intervals

Results

183.0ms	69×	body	2560	valid
156.0ms	118×	body	1280	valid
136.0ms	66×	body	10240	exit
42.0ms	322×	pre	80	true
28.0ms	34×	body	640	valid
10.0ms	12×	body	320	valid
4.0ms	22×	body	80	valid
0.0ms	1×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
5	3964
4	642
3	191
2	80
1	46
0	17

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(expm1 (* (+ a b) eps))
3.9b	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
13.3b	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
13.4b	(/ eps (expm1 (* eps a)))

rewrite34.0ms

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:

0.0ms	(expm1 (* (+ a b) eps))
16.0ms	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
8.0ms	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
8.0ms	(/ eps (expm1 (* eps a)))

series795.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(expm1 (* (+ a b) eps))
572.0ms	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
100.0ms	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
64.0ms	(/ eps (expm1 (* eps a)))

simplify2.5s

Counts

138 → 138

Iterations

Iter	Nodes
3	6104
2	1605
1	510
0	197

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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:

23.0ms

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

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify2.0s

Counts

38 → 38

Iterations

Iter	Nodes
5	3732
4	1553
3	687
2	313
1	109
0	43

prune239.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(expm1 (* eps (+ a b)))
3.9b	(* (/ (expm1 (* eps (+ a b))) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
13.3b	(/ (expm1 (* eps (+ a b))) (expm1 (* eps b)))
13.4b	(/ eps (expm1 (* eps a)))

rewrite33.0ms

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:

0.0ms	(expm1 (* eps (+ a b)))
18.0ms	(* (/ (expm1 (* eps (+ a b))) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
7.0ms	(/ (expm1 (* eps (+ a b))) (expm1 (* eps b)))
6.0ms	(/ eps (expm1 (* eps a)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(expm1 (* eps (+ a b)))
201.0ms	(* (/ (expm1 (* eps (+ a b))) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
90.0ms	(/ (expm1 (* eps (+ a b))) (expm1 (* eps b)))
61.0ms	(/ eps (expm1 (* eps a)))

simplify2.1s

Counts

138 → 138

Iterations

Iter	Nodes
3	5541
2	1557
1	515
0	200

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes96.0ms

Accuracy

-45.4% (4.9b remaining)

Error of 4.9b against oracle of 0.0b and baseline of 3.4b

bsearch937.0ms

Steps

Iters	Range	Point
7	2.369534262352101e+282	1.4497207566660386e+284	1.4324980532913986e+284
8	7.551316876086389e+127	2.5902888464245232e+131	7.650457866843507e+127
8	-2.0909636669938306e+107	-3.3093223687778855e+102	-1.6805430101467526e+103

Iters

Range

Point

2.369534262352101e+282

1.4497207566660386e+284

1.4324980532913986e+284

7.551316876086389e+127

2.5902888464245232e+131

7.650457866843507e+127

-2.0909636669938306e+107

-3.3093223687778855e+102

-1.6805430101467526e+103

simplify17.0ms

Iterations

Iter	Nodes
4	43
3	43
2	40
1	37
0	26

end0.0ms

sample18.8s

Algorithm

intervals

Results

5.8s	3482×	body	1280	valid
5.7s	2572×	body	2560	valid
4.6s	1970×	body	10240	exit
1.3s	1008×	body	640	valid
593.0ms	9972×	pre	80	true
264.0ms	359×	body	320	valid
73.0ms	459×	body	80	valid
43.0ms	122×	body	160	valid